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	<updated>2026-04-06T04:42:44Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Power_Electronics&amp;diff=10434</id>
		<title>Power Electronics</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Power_Electronics&amp;diff=10434"/>
		<updated>2012-04-09T19:05:58Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr432index.htm Class Notes]]&lt;br /&gt;
&lt;br /&gt;
==Feedback Analysis of Switched Mode Power Supplies==&lt;br /&gt;
&lt;br /&gt;
====How to Use LTSpice with the supplied PSpice Models====&lt;br /&gt;
*[[http://denethor.wlu.ca/ltspice/#models A page showing how to import models]]&lt;br /&gt;
*[[http://www.electronicspoint.com/pspice-ltspice-switchercad-schematic-conversion-t28041.html Forum results that cued me in to the fact you can open PSpice .sch schematics in LTSpice.]]  (You need to select *.* (All Files) in the navigator window.)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====Class Project 2011====&lt;br /&gt;
*[http://mtjungle.com/pe/ 120 VAC LED Light Project]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====Reliability====&lt;br /&gt;
[http://www.pvmips.org/publications/017.pdf Grid Tie Inverter Reliability]  (Electrolytics and IGBTs have poor reliability.)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==KiCAD Tutorials==&lt;br /&gt;
The following links are to the best KiCAD Tutorials that I&#039;ve found. They&#039;re the only ones with voice narration. Unfortunately, the video&#039;s creator thought it would be better to use a synthesized voice. It can be quite tiresome. (Posted by Chris Lau 4/9/12)&lt;br /&gt;
*[http://www.youtube.com/watch?v=rkQ0nVX1q1k Tutorial 1]&lt;br /&gt;
*[http://www.youtube.com/watch?v=8HNMihqa844&amp;amp;feature=plcp&amp;amp;context=C46c7c99VDvjVQa1PpcFOo1yAmios_qLe59l30SDJc8OLz1rz8GQs%3D Tutorial 2]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=10126</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=10126"/>
		<updated>2010-12-02T06:07:40Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Homework Assignments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Multi-rate Filtering===&lt;br /&gt;
&lt;br /&gt;
[http://www.google.com/url?url=http://www.mds.com/tech/filter/multirate_article.pdf&amp;amp;rct=j&amp;amp;sa=U&amp;amp;ei=pD_UTJqtKY6ksQPbzPWMCw&amp;amp;ved=0CBUQFjAA&amp;amp;q=Purcell+Multirate+Filters&amp;amp;usg=AFQjCNFsHM7ROpUdrQ6py9ZH_RhQ_BeigA Multirate Filters Introduction]&lt;br /&gt;
&lt;br /&gt;
[http://www.ws.binghamton.edu/fowler/fowler%20personal%20page/EE521_files/IV-05%20Polyphase%20FIlters_2007.pdf Slides from a Presentation on Polyphase Decimation and Interpolation by Mark Fowler]&lt;br /&gt;
&lt;br /&gt;
===FIR Filters===&lt;br /&gt;
&lt;br /&gt;
[http://www.dspguru.com/dsp/faqs/fir This is a very easy-to-understand summary of FIR basics, properties, design, and implementation]&lt;br /&gt;
&lt;br /&gt;
[http://www.dspguru.com/dsp/faqs/multirate/decimation Another easy-to-understand article about decimation]&lt;br /&gt;
&lt;br /&gt;
[http://www.dspguru.com/dsp/faqs/multirate/interpolation Another easy-to-understand article about interpolation]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
[[FIR Filter Example Code for Octave]]&lt;br /&gt;
&lt;br /&gt;
[[Leakage Example Octave Script]]&lt;br /&gt;
&lt;br /&gt;
[[Interpolation using the DFT Example Script]]&lt;br /&gt;
&lt;br /&gt;
[[Tuner Upper Removal Demonstration]]&lt;br /&gt;
&lt;br /&gt;
[[Airplane Noise Removal Demonstration]]&lt;br /&gt;
&lt;br /&gt;
===[[Table of Fourier Transform Properties]]===&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5: ([[HW 5|Chris Lau]])&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \mathcal{F}[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 - Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])([[Table of Fourier Transform Properties|Chris Lau]])([[Table of Fourier Transform Properties|Victor Shepherd]])&lt;br /&gt;
* HW #7 - Finish the practice tests&lt;br /&gt;
* HW #8 - Make a page about interpolating FIR filters. Note how many multiply/add operations.([[Jodi S. Hodge]])([[Interpolating FIR filters|Chris Lau]])([[Hw8|Victor Shepherd]])&lt;br /&gt;
* HW #9 - Add to #8 writeup how to do a decimating filter and figure out how many multiply &amp;amp; adds are needed for a n/2 decimating low pass filter.([[Jodi S. Hodge]])([[Decimating FIR filters|Chris Lau]])([[Hw9|Victor Shepherd)]]&lt;br /&gt;
* HW #10 - Use Octave (or Mathlab or Silab) to plot the frequency response of low pass filters with cut off frequencies of 1/32T, 1/8T, and 1/4T and compare how many coeffficients are needed with an eye to answer the question &amp;quot;Is it less calculation to decimate and then filter, or better to put the filter in the pre-decimation filter?&amp;quot; ([[Jodi S. Hodge]])([[Hw10|Victor Shepherd)]]&lt;br /&gt;
* HW #11 - Is our method the same as Mark Fowler&#039;s? See &lt;br /&gt;
[http://www.ws.binghamton.edu/fowler/fowler%20personal%20page/EE521_files/IV-05%20Polyphase%20FIlters_2007.pdf Wiki]. Same # multiply and adds? See Notes 11/3/10. ([[Jodi S. Hodge]])([[Hw11|Victor Shepherd)]]&lt;br /&gt;
* HW #12 - Experiment with a variety of signals having a 3Khz bandwidth to determine the resolution you can get when doing a cross correlation &amp;lt;math&amp;gt; \ r(m) =&lt;br /&gt;
&lt;br /&gt;
\displaystyle\sum\limits_{n=0}^{N-1} x(n) x(n+m) &amp;lt;/math&amp;gt;. You can generate the signals randomly and filter them to obtain the band-limited signals.  ([[Jodi S. Hodge]])&lt;br /&gt;
* HW #13 - Derive the following realtions:&lt;br /&gt;
**a)      &amp;lt;math&amp;gt;DFT(x(k-l))\!&amp;lt;/math&amp;gt;&lt;br /&gt;
**b)      &amp;lt;math&amp;gt; DFT(e^{j2 \pi lk/N}x(k)\!&amp;lt;/math&amp;gt;&lt;br /&gt;
**c)      &amp;lt;math&amp;gt;\sum\limits_{k=0}^{N-1} x(k)y(k)^{*}=c\sum\limits_{k=0}^{N-1} X(n)Y(n)^{*}&amp;lt;/math&amp;gt;  &lt;br /&gt;
&lt;br /&gt;
* HW #14 - Come up with a use for an adaptiveFIR filter and make an Octave script to demonstrate it.  ([[Jodi S. Hodge]])&lt;br /&gt;
* HW #15 - Do Practice Exam II&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Ben Henry]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Decimating_FIR_filters&amp;diff=10055</id>
		<title>Decimating FIR filters</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Decimating_FIR_filters&amp;diff=10055"/>
		<updated>2010-11-17T00:57:00Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: Created page with &amp;#039;This page offers a brief instruction to the design of a decimation FIR filter.  ==Interesting Points==&amp;#039;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This page offers a brief instruction to the design of a decimation FIR filter.&lt;br /&gt;
&lt;br /&gt;
==Interesting Points==&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=10054</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=10054"/>
		<updated>2010-11-17T00:51:48Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Some Useful Links to Suppliment or Substitute for a Textbook */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Multi-rate Filtering===&lt;br /&gt;
&lt;br /&gt;
[http://www.google.com/url?url=http://www.mds.com/tech/filter/multirate_article.pdf&amp;amp;rct=j&amp;amp;sa=U&amp;amp;ei=pD_UTJqtKY6ksQPbzPWMCw&amp;amp;ved=0CBUQFjAA&amp;amp;q=Purcell+Multirate+Filters&amp;amp;usg=AFQjCNFsHM7ROpUdrQ6py9ZH_RhQ_BeigA Multirate Filters Introduction]&lt;br /&gt;
&lt;br /&gt;
[http://www.ws.binghamton.edu/fowler/fowler%20personal%20page/EE521_files/IV-05%20Polyphase%20FIlters_2007.pdf Slides from a Presentation on Polyphase Decimation and Interpolation by Mark Fowler]&lt;br /&gt;
&lt;br /&gt;
===FIR Filters===&lt;br /&gt;
&lt;br /&gt;
[http://www.dspguru.com/dsp/faqs/fir This is a very easy-to-understand summary of FIR basics, properties, design, and implementation]&lt;br /&gt;
&lt;br /&gt;
[http://www.dspguru.com/dsp/faqs/multirate/decimation Another easy-to-understand article about decimation]&lt;br /&gt;
&lt;br /&gt;
[http://www.dspguru.com/dsp/faqs/multirate/interpolation Another easy-to-understand article about interpolation]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
[[FIR Filter Example Code for Octave]]&lt;br /&gt;
&lt;br /&gt;
[[Leakage Example Octave Script]]&lt;br /&gt;
&lt;br /&gt;
[[Interpolation using the DFT Example Script]]&lt;br /&gt;
&lt;br /&gt;
===[[Table of Fourier Transform Properties]]===&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5: ([[HW 5|Chris Lau]])&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \mathcal{F}[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 - Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])([[Table of Fourier Transform Properties|Chris Lau]])&lt;br /&gt;
* HW #7 - Finish the practice tests&lt;br /&gt;
* HW #8 - Make a page about interpolating FIR filters. Note how many multiply/add operations.([[Jodi S. Hodge]])([[Interpolating FIR filters|Chris Lau]])&lt;br /&gt;
* HW #9 - Add to #8 writeup how to do a decimating filter and figure out how many multiply &amp;amp; adds are needed for a n/2 decimating low pass filter.([[Jodi S. Hodge]])([[Decimating FIR filters|Chris Lau]])&lt;br /&gt;
* HW #10 - Use Octave (or Mathlab or Silab) to plot the frequency response of low pass filters with cut off frequencies of 1/32T, 1/8T, and 1/4T and compare how many coeffficients are needed with an eye to answer the question &amp;quot;Is it less calculation to decimate and then filter, or better to put the filter in the pre-decimation filter?&amp;quot; ([[Jodi S. Hodge]])&lt;br /&gt;
* HW #11 - Is our method the same as Mark Flower&#039;s? See &lt;br /&gt;
[http://www.ws.binghamton.edu/fowler/fowler%20personal%20page/EE521_files/IV-05%20Polyphase%20FIlters_2007.pdf Wiki]. Same # multiply and adds? See Notes 11/3/10. ([[Jodi S. Hodge]])&lt;br /&gt;
* HW #12 - Experiment with a variety of signals having a 3Khz bandwidth to determine the resolution you can get when doing a cross correlation &amp;lt;math&amp;gt; \ r(m) =&lt;br /&gt;
&lt;br /&gt;
\displaystyle\sum\limits_{n=0}^{N-1} x(n) x(n+m) &amp;lt;/math&amp;gt;. You can generate the signals randomly and filter them to obtain the band-limited signals.&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Christopher_Garrison_Lau_I&amp;diff=10053</id>
		<title>Christopher Garrison Lau I</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Christopher_Garrison_Lau_I&amp;diff=10053"/>
		<updated>2010-11-17T00:28:18Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Signals and Systems */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Image:Subaru.jpg]]&lt;br /&gt;
===Contact info=== &lt;br /&gt;
Mask me&lt;br /&gt;
&lt;br /&gt;
===Signals and Systems===&lt;br /&gt;
[[Installing Octave on Mac]]&lt;br /&gt;
&lt;br /&gt;
[[HW 3]]&lt;br /&gt;
&lt;br /&gt;
[[HW 4]]&lt;br /&gt;
&lt;br /&gt;
[[HW 5]]&lt;br /&gt;
&lt;br /&gt;
[[Table of Fourier Transform Properties]]&lt;br /&gt;
&lt;br /&gt;
[[Interpolating FIR filters]]&lt;br /&gt;
&lt;br /&gt;
===Linear Network Analysis===&lt;br /&gt;
[[Fourier Series: Explained!]]&lt;br /&gt;
&lt;br /&gt;
===Engineering Electronics===&lt;br /&gt;
[[Ideal vs. Nonideal Op Amps]]&lt;br /&gt;
&lt;br /&gt;
===Electro-Mechanical Energy Conversion===&lt;br /&gt;
&lt;br /&gt;
[[An Application of Electromechanical Energy Conversion: Hybrid Electric Vehicles]]&lt;br /&gt;
&lt;br /&gt;
In draft: [[An Ideal Transformer Example]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Christopher_Garrison_Lau_I&amp;diff=10052</id>
		<title>Christopher Garrison Lau I</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Christopher_Garrison_Lau_I&amp;diff=10052"/>
		<updated>2010-11-17T00:28:04Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Image:Subaru.jpg]]&lt;br /&gt;
===Contact info=== &lt;br /&gt;
Mask me&lt;br /&gt;
&lt;br /&gt;
===Signals and Systems===&lt;br /&gt;
[[Installing Octave on Mac]]&lt;br /&gt;
&lt;br /&gt;
[[HW 3]]&lt;br /&gt;
&lt;br /&gt;
[[HW 4]]&lt;br /&gt;
&lt;br /&gt;
[[HW 5]]&lt;br /&gt;
&lt;br /&gt;
[[Table of Fourier Transform Properties]]&lt;br /&gt;
&lt;br /&gt;
[[&lt;br /&gt;
&lt;br /&gt;
Interpolating FIR filters]]&lt;br /&gt;
&lt;br /&gt;
===Linear Network Analysis===&lt;br /&gt;
[[Fourier Series: Explained!]]&lt;br /&gt;
&lt;br /&gt;
===Engineering Electronics===&lt;br /&gt;
[[Ideal vs. Nonideal Op Amps]]&lt;br /&gt;
&lt;br /&gt;
===Electro-Mechanical Energy Conversion===&lt;br /&gt;
&lt;br /&gt;
[[An Application of Electromechanical Energy Conversion: Hybrid Electric Vehicles]]&lt;br /&gt;
&lt;br /&gt;
In draft: [[An Ideal Transformer Example]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10051</id>
		<title>Interpolating FIR filters</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10051"/>
		<updated>2010-11-17T00:26:38Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Related Topics */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This page offers a brief explanation of interpolation FIR filters.&lt;br /&gt;
&lt;br /&gt;
==Example==&lt;br /&gt;
Assume we start with the sample &amp;lt;math&amp;gt; \ [1 \ 2 \ 3 \ 4 \ 3 \ 2 \ 1] &amp;lt;/math&amp;gt;. Padding with zeros gives: &amp;lt;math&amp;gt; \ [1 \ 0 \ 2 \ 0 \ 3 \ 0 \ 4 \ 0 \ 5 \ 0 \ 3 \ 0 \ 2 \ 0 \ 1] &amp;lt;/math&amp;gt;. Let&#039;s apply 2 filters.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Filter 1: &amp;lt;math&amp;gt; \ [1 \ 1] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=1.0 \cdot x(kT) + 1.0 \cdot x(k-1)T  &amp;lt;/math&amp;gt;).&lt;br /&gt;
&lt;br /&gt;
This filter gives: &amp;lt;math&amp;gt; \  [1 \ 1 \ 2 \ 2 \ 3 \ 3 \ 4 \ 4 \ 5 \ 5 \ 4 \ 4 \ 3 \ 3 \ 2 \ 2 \ 1 \ 1] &amp;lt;/math&amp;gt;. This is a hold function.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Filter 2: &amp;lt;math&amp;gt; \ [0.5 \ 1 \ 0.5] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=0.5 \cdot x(kT) + 1.0 \cdot x(k-1)T + 0.5 \cdot x(k-2)T  &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This filter gives: &amp;lt;math&amp;gt; \ [.5 \ 1.0 \ 1.5 \ 2.0 \ 2.5 \ 3.0 \ 3.5 \ 4.0 \ 4.5 \ 5.0 \ 4.5 \ 4.0 \ 3.5 \ 3.0 \ 2.5 \ 2.0 \ 1.5 \ 1.0 \ 0.5] &amp;lt;/math&amp;gt;. This is a linear interpolater.&lt;br /&gt;
&lt;br /&gt;
==Multiply/add Operations==&lt;br /&gt;
I had a lot of trouble finding generic information about the number of multiply/add operations used in an interpolation FIR filter. I did find formula for the number of multiply/add operation used by the MATLAB function upfirdn, which upsamples, applies an FIR filter, and then downsamples. It is:  &amp;lt;math&amp;gt; \ (L_h L_x-pL_x)/q &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; \ L_h &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \  L_x &amp;lt;/math&amp;gt; are the lengths of &amp;lt;math&amp;gt; \ h[n] &amp;lt;/math&amp;gt;(the impulse response of the FIR filter) and &amp;lt;math&amp;gt; \ x[n] &amp;lt;/math&amp;gt;(the original signal), respectively.&lt;br /&gt;
&lt;br /&gt;
==Related Topics==&lt;br /&gt;
Check out my article on [[Decimating FIR filters]].&lt;br /&gt;
&lt;br /&gt;
===Author===&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10050</id>
		<title>Interpolating FIR filters</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10050"/>
		<updated>2010-11-17T00:26:18Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This page offers a brief explanation of interpolation FIR filters.&lt;br /&gt;
&lt;br /&gt;
==Example==&lt;br /&gt;
Assume we start with the sample &amp;lt;math&amp;gt; \ [1 \ 2 \ 3 \ 4 \ 3 \ 2 \ 1] &amp;lt;/math&amp;gt;. Padding with zeros gives: &amp;lt;math&amp;gt; \ [1 \ 0 \ 2 \ 0 \ 3 \ 0 \ 4 \ 0 \ 5 \ 0 \ 3 \ 0 \ 2 \ 0 \ 1] &amp;lt;/math&amp;gt;. Let&#039;s apply 2 filters.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Filter 1: &amp;lt;math&amp;gt; \ [1 \ 1] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=1.0 \cdot x(kT) + 1.0 \cdot x(k-1)T  &amp;lt;/math&amp;gt;).&lt;br /&gt;
&lt;br /&gt;
This filter gives: &amp;lt;math&amp;gt; \  [1 \ 1 \ 2 \ 2 \ 3 \ 3 \ 4 \ 4 \ 5 \ 5 \ 4 \ 4 \ 3 \ 3 \ 2 \ 2 \ 1 \ 1] &amp;lt;/math&amp;gt;. This is a hold function.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Filter 2: &amp;lt;math&amp;gt; \ [0.5 \ 1 \ 0.5] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=0.5 \cdot x(kT) + 1.0 \cdot x(k-1)T + 0.5 \cdot x(k-2)T  &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This filter gives: &amp;lt;math&amp;gt; \ [.5 \ 1.0 \ 1.5 \ 2.0 \ 2.5 \ 3.0 \ 3.5 \ 4.0 \ 4.5 \ 5.0 \ 4.5 \ 4.0 \ 3.5 \ 3.0 \ 2.5 \ 2.0 \ 1.5 \ 1.0 \ 0.5] &amp;lt;/math&amp;gt;. This is a linear interpolater.&lt;br /&gt;
&lt;br /&gt;
==Multiply/add Operations==&lt;br /&gt;
I had a lot of trouble finding generic information about the number of multiply/add operations used in an interpolation FIR filter. I did find formula for the number of multiply/add operation used by the MATLAB function upfirdn, which upsamples, applies an FIR filter, and then downsamples. It is:  &amp;lt;math&amp;gt; \ (L_h L_x-pL_x)/q &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; \ L_h &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \  L_x &amp;lt;/math&amp;gt; are the lengths of &amp;lt;math&amp;gt; \ h[n] &amp;lt;/math&amp;gt;(the impulse response of the FIR filter) and &amp;lt;math&amp;gt; \ x[n] &amp;lt;/math&amp;gt;(the original signal), respectively.&lt;br /&gt;
&lt;br /&gt;
==Related Topics==&lt;br /&gt;
Check out my article on [[Decimating FIR Filters]].&lt;br /&gt;
&lt;br /&gt;
===Author===&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=10049</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=10049"/>
		<updated>2010-11-17T00:24:17Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Homework Assignments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Multi-rate Filtering===&lt;br /&gt;
&lt;br /&gt;
[http://www.google.com/url?url=http://www.mds.com/tech/filter/multirate_article.pdf&amp;amp;rct=j&amp;amp;sa=U&amp;amp;ei=pD_UTJqtKY6ksQPbzPWMCw&amp;amp;ved=0CBUQFjAA&amp;amp;q=Purcell+Multirate+Filters&amp;amp;usg=AFQjCNFsHM7ROpUdrQ6py9ZH_RhQ_BeigA Multirate Filters Introduction]&lt;br /&gt;
&lt;br /&gt;
[http://www.ws.binghamton.edu/fowler/fowler%20personal%20page/EE521_files/IV-05%20Polyphase%20FIlters_2007.pdf Slides from a Presentation on Polyphase Decimation and Interpolation by Mark Fowler]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
[[FIR Filter Example Code for Octave]]&lt;br /&gt;
&lt;br /&gt;
[[Leakage Example Octave Script]]&lt;br /&gt;
&lt;br /&gt;
[[Interpolation using the DFT Example Script]]&lt;br /&gt;
&lt;br /&gt;
===[[Table of Fourier Transform Properties]]===&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5: ([[HW 5|Chris Lau]])&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \mathcal{F}[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 - Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])([[Table of Fourier Transform Properties|Chris Lau]])&lt;br /&gt;
* HW #7 - Finish the practice tests&lt;br /&gt;
* HW #8 - Make a page about interpolating FIR filters. Note how many multiply/add operations.([[Jodi S. Hodge]])([[Interpolating FIR filters|Chris Lau]])&lt;br /&gt;
* HW #9 - Add to #8 writeup how to do a decimating filter and figure out how many multiply &amp;amp; adds are needed for a n/2 decimating low pass filter.([[Jodi S. Hodge]])([[Decimating FIR filters|Chris Lau]])&lt;br /&gt;
* HW #10 - Use Octave (or Mathlab or Silab) to plot the frequency response of low pass filters with cut off frequencies of 1/32T, 1/8T, and 1/4T and compare how many coeffficients are needed with an eye to answer the question &amp;quot;Is it less calculation to decimate and then filter, or better to put the filter in the pre-decimation filter?&amp;quot; ([[Jodi S. Hodge]])&lt;br /&gt;
* HW #11 - Is our method the same as Mark Flower&#039;s? See &lt;br /&gt;
[http://www.ws.binghamton.edu/fowler/fowler%20personal%20page/EE521_files/IV-05%20Polyphase%20FIlters_2007.pdf Wiki]. Same # multiply and adds? See Notes 11/3/10. ([[Jodi S. Hodge]])&lt;br /&gt;
* HW #12 - Experiment with a variety of signals having a 3Khz bandwidth to determine the resolution you can get when doing a cross correlation &amp;lt;math&amp;gt; \ r(m) =&lt;br /&gt;
&lt;br /&gt;
\displaystyle\sum\limits_{n=0}^{N-1} x(n) x(n+m) &amp;lt;/math&amp;gt;. You can generate the signals randomly and filter them to obtain the band-limited signals.&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=10048</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=10048"/>
		<updated>2010-11-17T00:18:22Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Homework Assignments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Multi-rate Filtering===&lt;br /&gt;
&lt;br /&gt;
[http://www.google.com/url?url=http://www.mds.com/tech/filter/multirate_article.pdf&amp;amp;rct=j&amp;amp;sa=U&amp;amp;ei=pD_UTJqtKY6ksQPbzPWMCw&amp;amp;ved=0CBUQFjAA&amp;amp;q=Purcell+Multirate+Filters&amp;amp;usg=AFQjCNFsHM7ROpUdrQ6py9ZH_RhQ_BeigA Multirate Filters Introduction]&lt;br /&gt;
&lt;br /&gt;
[http://www.ws.binghamton.edu/fowler/fowler%20personal%20page/EE521_files/IV-05%20Polyphase%20FIlters_2007.pdf Slides from a Presentation on Polyphase Decimation and Interpolation by Mark Fowler]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
[[FIR Filter Example Code for Octave]]&lt;br /&gt;
&lt;br /&gt;
[[Leakage Example Octave Script]]&lt;br /&gt;
&lt;br /&gt;
[[Interpolation using the DFT Example Script]]&lt;br /&gt;
&lt;br /&gt;
===[[Table of Fourier Transform Properties]]===&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5: ([[HW 5|Chris Lau]])&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \mathcal{F}[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 - Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])([[Table of Fourier Transform Properties|Chris Lau]])&lt;br /&gt;
* HW #7 - Finish the practice tests&lt;br /&gt;
* HW #8 - Make a page about interpolating FIR filters. Note how many multiply/add operations.([[Jodi S. Hodge]])([[Interpolating FIR filters|Chris Lau]])&lt;br /&gt;
* HW #9 - Add to #8 writeup how to do a decimating filter and figure out how many multiply &amp;amp; adds are needed for a n/2 decimating low pass filter.([[Jodi S. Hodge]])&lt;br /&gt;
* HW #10 - Use Octave (or Mathlab or Silab) to plot the frequency response of low pass filters with cut off frequencies of 1/32T, 1/8T, and 1/4T and compare how many coeffficients are needed with an eye to answer the question &amp;quot;Is it less calculation to decimate and then filter, or better to put the filter in the pre-decimation filter?&amp;quot; ([[Jodi S. Hodge]])&lt;br /&gt;
* HW #11 - Is our method the same as Mark Flower&#039;s? See &lt;br /&gt;
[http://www.ws.binghamton.edu/fowler/fowler%20personal%20page/EE521_files/IV-05%20Polyphase%20FIlters_2007.pdf Wiki]. Same # multiply and adds? See Notes 11/3/10. ([[Jodi S. Hodge]])&lt;br /&gt;
* HW #12 - Experiment with a variety of signals having a 3Khz bandwidth to determine the resolution you can get when doing a cross correlation &amp;lt;math&amp;gt; \ r(m) =&lt;br /&gt;
&lt;br /&gt;
\displaystyle\sum\limits_{n=0}^{N-1} x(n) x(n+m) &amp;lt;/math&amp;gt;. You can generate the signals randomly and filter them to obtain the band-limited signals.&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10047</id>
		<title>Interpolating FIR filters</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10047"/>
		<updated>2010-11-16T21:48:47Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Example */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This page offers a brief explanation of interpolation FIR filters.&lt;br /&gt;
&lt;br /&gt;
==Example==&lt;br /&gt;
Assume we start with the sample &amp;lt;math&amp;gt; \ [1 \ 2 \ 3 \ 4 \ 3 \ 2 \ 1] &amp;lt;/math&amp;gt;. Padding with zeros gives: &amp;lt;math&amp;gt; \ [1 \ 0 \ 2 \ 0 \ 3 \ 0 \ 4 \ 0 \ 5 \ 0 \ 3 \ 0 \ 2 \ 0 \ 1] &amp;lt;/math&amp;gt;. Let&#039;s apply 2 filters.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Filter 1: &amp;lt;math&amp;gt; \ [1 \ 1] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=1.0 \cdot x(kT) + 1.0 \cdot x(k-1)T  &amp;lt;/math&amp;gt;).&lt;br /&gt;
&lt;br /&gt;
This filter gives: &amp;lt;math&amp;gt; \  [1 \ 1 \ 2 \ 2 \ 3 \ 3 \ 4 \ 4 \ 5 \ 5 \ 4 \ 4 \ 3 \ 3 \ 2 \ 2 \ 1 \ 1] &amp;lt;/math&amp;gt;. This is a hold function.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Filter 2: &amp;lt;math&amp;gt; \ [0.5 \ 1 \ 0.5] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=0.5 \cdot x(kT) + 1.0 \cdot x(k-1)T + 0.5 \cdot x(k-2)T  &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This filter gives: &amp;lt;math&amp;gt; \ [.5 \ 1.0 \ 1.5 \ 2.0 \ 2.5 \ 3.0 \ 3.5 \ 4.0 \ 4.5 \ 5.0 \ 4.5 \ 4.0 \ 3.5 \ 3.0 \ 2.5 \ 2.0 \ 1.5 \ 1.0 \ 0.5] &amp;lt;/math&amp;gt;. This is a linear interpolater.&lt;br /&gt;
&lt;br /&gt;
==Multiply/add Operations==&lt;br /&gt;
I had a lot of trouble finding generic information about the number of multiply/add operations used in an interpolation FIR filter. I did find formula for the number of multiply/add operation used by the MATLAB function upfirdn, which upsamples, applies an FIR filter, and then downsamples. It is:  &amp;lt;math&amp;gt; \ (L_h L_x-pL_x)/q &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; \ L_h &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \  L_x &amp;lt;/math&amp;gt; are the lengths of &amp;lt;math&amp;gt; \ h[n] &amp;lt;/math&amp;gt;(the impulse response of the FIR filter) and &amp;lt;math&amp;gt; \ x[n] &amp;lt;/math&amp;gt;(the original signal), respectively.&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10046</id>
		<title>Interpolating FIR filters</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10046"/>
		<updated>2010-11-16T21:47:31Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Multiply/add Operations */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This page offers a brief explanation of interpolation FIR filters.&lt;br /&gt;
&lt;br /&gt;
==Example==&lt;br /&gt;
Assume we start with the sample &amp;lt;math&amp;gt; \ [1 \ 2 \ 3 \ 4 \ 3 \ 2 \ 1] &amp;lt;/math&amp;gt;. Padding with zeros gives: &amp;lt;math&amp;gt; \ [1 \ 0 \ 2 \ 0 \ 3 \ 0 \ 4 \ 0 \ 5 \ 0 \ 3 \ 0 \ 2 \ 0 \ 1] &amp;lt;/math&amp;gt;. Let&#039;s apply 2 filters.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Filter 1: &amp;lt;math&amp;gt; \ [1 \ 1] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=1.0*x(kT) + 1.0*x(k-1)T  &amp;lt;/math&amp;gt;).&lt;br /&gt;
&lt;br /&gt;
This filter gives: &amp;lt;math&amp;gt; \  [1 \ 1 \ 2 \ 2 \ 3 \ 3 \ 4 \ 4 \ 5 \ 5 \ 4 \ 4 \ 3 \ 3 \ 2 \ 2 \ 1 \ 1] &amp;lt;/math&amp;gt;. This is a hold function.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Filter 2: &amp;lt;math&amp;gt; \ [0.5 \ 1 \ 0.5] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=0.5*x(kT) + 1.0*x(k-1)T + 0.5*x(k-2)T  &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This filter gives: &amp;lt;math&amp;gt; \ [.5 \ 1.0 \ 1.5 \ 2.0 \ 2.5 \ 3.0 \ 3.5 \ 4.0 \ 4.5 \ 5.0 \ 4.5 \ 4.0 \ 3.5 \ 3.0 \ 2.5 \ 2.0 \ 1.5 \ 1.0 \ 0.5] &amp;lt;/math&amp;gt;. This is a linear interpolater.&lt;br /&gt;
&lt;br /&gt;
==Multiply/add Operations==&lt;br /&gt;
I had a lot of trouble finding generic information about the number of multiply/add operations used in an interpolation FIR filter. I did find formula for the number of multiply/add operation used by the MATLAB function upfirdn, which upsamples, applies an FIR filter, and then downsamples. It is:  &amp;lt;math&amp;gt; \ (L_h L_x-pL_x)/q &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; \ L_h &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \  L_x &amp;lt;/math&amp;gt; are the lengths of &amp;lt;math&amp;gt; \ h[n] &amp;lt;/math&amp;gt;(the impulse response of the FIR filter) and &amp;lt;math&amp;gt; \ x[n] &amp;lt;/math&amp;gt;(the original signal), respectively.&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10045</id>
		<title>Interpolating FIR filters</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10045"/>
		<updated>2010-11-16T21:43:28Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This page offers a brief explanation of interpolation FIR filters.&lt;br /&gt;
&lt;br /&gt;
==Example==&lt;br /&gt;
Assume we start with the sample &amp;lt;math&amp;gt; \ [1 \ 2 \ 3 \ 4 \ 3 \ 2 \ 1] &amp;lt;/math&amp;gt;. Padding with zeros gives: &amp;lt;math&amp;gt; \ [1 \ 0 \ 2 \ 0 \ 3 \ 0 \ 4 \ 0 \ 5 \ 0 \ 3 \ 0 \ 2 \ 0 \ 1] &amp;lt;/math&amp;gt;. Let&#039;s apply 2 filters.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Filter 1: &amp;lt;math&amp;gt; \ [1 \ 1] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=1.0*x(kT) + 1.0*x(k-1)T  &amp;lt;/math&amp;gt;).&lt;br /&gt;
&lt;br /&gt;
This filter gives: &amp;lt;math&amp;gt; \  [1 \ 1 \ 2 \ 2 \ 3 \ 3 \ 4 \ 4 \ 5 \ 5 \ 4 \ 4 \ 3 \ 3 \ 2 \ 2 \ 1 \ 1] &amp;lt;/math&amp;gt;. This is a hold function.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Filter 2: &amp;lt;math&amp;gt; \ [0.5 \ 1 \ 0.5] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=0.5*x(kT) + 1.0*x(k-1)T + 0.5*x(k-2)T  &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This filter gives: &amp;lt;math&amp;gt; \ [.5 \ 1.0 \ 1.5 \ 2.0 \ 2.5 \ 3.0 \ 3.5 \ 4.0 \ 4.5 \ 5.0 \ 4.5 \ 4.0 \ 3.5 \ 3.0 \ 2.5 \ 2.0 \ 1.5 \ 1.0 \ 0.5] &amp;lt;/math&amp;gt;. This is a linear interpolater.&lt;br /&gt;
&lt;br /&gt;
==Multiply/add Operations==&lt;br /&gt;
I had a lot of trouble finding generic information about the number of multiply/add operations used in an interpolation FIR filter. I did find formula for the number of multiply/add operation used by the MATLAB function upfirdn, which upsamples, applies an FIR filter, and then downsamples. It is:  &amp;lt;math&amp;gt; \ (LhLx-pLx)/q &amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt; \ Lh &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; \  Lx &amp;lt;/math&amp;gt; are the lengths of &amp;lt;math&amp;gt; \ h[n] &amp;lt;/math&amp;gt;(the impulse response of the FIR filter) and &amp;lt;math&amp;gt; \ x[n] &amp;lt;/math&amp;gt;(the original signal), respectively.&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10044</id>
		<title>Interpolating FIR filters</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10044"/>
		<updated>2010-11-16T21:18:24Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This page offers a brief explanation of interpolation FIR filters.&lt;br /&gt;
&lt;br /&gt;
==Example==&lt;br /&gt;
Assume we start with the sample &amp;lt;math&amp;gt; \ [1 \ 2 \ 3 \ 4 \ 3 \ 2 \ 1] &amp;lt;/math&amp;gt;. Padding with zeros gives: &amp;lt;math&amp;gt; \ [1 \ 0 \ 2 \ 0 \ 3 \ 0 \ 4 \ 0 \ 5 \ 0 \ 3 \ 0 \ 2 \ 0 \ 1] &amp;lt;/math&amp;gt;. Let&#039;s apply 2 filters.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Filter 1: &amp;lt;math&amp;gt; \ [1 \ 1] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=1.0*x(kT) + 1.0*x(k-1)T  &amp;lt;/math&amp;gt;).&lt;br /&gt;
&lt;br /&gt;
This filter gives: &amp;lt;math&amp;gt; \  [1 \ 1 \ 2 \ 2 \ 3 \ 3 \ 4 \ 4 \ 5 \ 5 \ 4 \ 4 \ 3 \ 3 \ 2 \ 2 \ 1 \ 1] &amp;lt;/math&amp;gt;. This is a hold function.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Filter 2: &amp;lt;math&amp;gt; \ [0.5 \ 1 \ 0.5] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=0.5*x(kT) + 1.0*x(k-1)T + 0.5*x(k-2)T  &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This filter gives: &amp;lt;math&amp;gt; \ [.5 \ 1.0 \ 1.5 \ 2.0 \ 2.5 \ 3.0 \ 3.5 \ 4.0 \ 4.5 \ 5.0 \ 4.5 \ 4.0 \ 3.5 \ 3.0 \ 2.5 \ 2.0 \ 1.5 \ 1.0 \ 0.5] &amp;lt;/math&amp;gt;. This is a linear interpolater.&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10043</id>
		<title>Interpolating FIR filters</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10043"/>
		<updated>2010-11-16T21:16:09Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This page offers a brief explanation of interpolation FIR filters.&lt;br /&gt;
&lt;br /&gt;
==Example==&lt;br /&gt;
Assume we start with the sample &amp;lt;math&amp;gt; \ [1 \ 2 \ 3 \ 4 \ 3 \ 2 \ 1] &amp;lt;/math&amp;gt;. Padding with zeros gives: &amp;lt;math&amp;gt; \ [1 \ 0 \ 2 \ 0 \ 3 \ 0 \ 4 \ 0 \ 3 \ 0 \ 2 \ 0 \ 1] &amp;lt;/math&amp;gt;. Let&#039;s apply 2 filters.&lt;br /&gt;
&lt;br /&gt;
Filter 1: &amp;lt;math&amp;gt; \ [1 \ 1] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=1.0*x(kT) + 1.0*x(k-1)T  &amp;lt;/math&amp;gt;). This filter gives: &amp;lt;math&amp;gt; \  [1 \ 1 \ 2 \ 2 \ 3 \ 3 \ 4 \ 4 \ 5 \ 5 \ 4 \ 4 \ 3 \ 3 \ 2 \ 2 \ 1 \ 1] &amp;lt;/math&amp;gt;. This is a hold function.&lt;br /&gt;
&lt;br /&gt;
Filter 2: &amp;lt;math&amp;gt; \ [0.5 \ 1 \ 0.5] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=0.5*x(kT) + 1.0*x(k-1)T + 0.5*x(k-2)T  &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This filter gives: &amp;lt;math&amp;gt; \ [.5 \ 1.0 \ 1.5 \ 2.0 \ 2.5 \ 3.0 \ 3.5 \ 4.0 \ 4.5 \ 5.0 \ 4.5 \ 4.0 \ 3.5 \ 3.0 \ 2.5 \ 2.0 \ 1.5 \ 1.0 \ 0.5] &amp;lt;/math&amp;gt;. This is a linear interpolater.&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10042</id>
		<title>Interpolating FIR filters</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10042"/>
		<updated>2010-11-16T21:10:17Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This page offers a brief explanation of interpolation FIR filters.&lt;br /&gt;
&lt;br /&gt;
==Example==&lt;br /&gt;
Assume we start with the sample &amp;lt;math&amp;gt; \ [1  2  3  4  3  2  1] &amp;lt;/math&amp;gt;. Padding with zeros gives: &amp;lt;math&amp;gt; \ [1 0 2 0 3 0 4 0 3 0 2 0 1] &amp;lt;/math&amp;gt;. Let&#039;s apply 2 filters.&lt;br /&gt;
&lt;br /&gt;
Filter 1: &amp;lt;math&amp;gt; \ [1 1] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=1.0*x(kT) + 1.0*x(k-1)T  &amp;lt;/math&amp;gt;). This filter gives: &amp;lt;math&amp;gt; \  [1 1 2 2 3 3 4 4 5 5 4 4 3 3 2 2 1 1] &amp;lt;/math&amp;gt;. This is a hold function.&lt;br /&gt;
&lt;br /&gt;
Filter 2: &amp;lt;math&amp;gt; \ [0.5 1 0.5] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=0.5*x(kT) + 1.0*x(k-1)T + 0.5*x(k-2)T  &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This filter gives: &amp;lt;math&amp;gt; \ [.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5] &amp;lt;/math&amp;gt;. This is a linear interpolater.&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10041</id>
		<title>Interpolating FIR filters</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&amp;diff=10041"/>
		<updated>2010-11-16T05:19:10Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: Created page with &amp;#039;This page offers a brief explanation of interpolation FIR filters.  ==Example== Assume we start with the sample &amp;lt;math&amp;gt; \ [1  2  3  4  3  2  1] &amp;lt;/math&amp;gt;. Padding with zeros gives: …&amp;#039;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This page offers a brief explanation of interpolation FIR filters.&lt;br /&gt;
&lt;br /&gt;
==Example==&lt;br /&gt;
Assume we start with the sample &amp;lt;math&amp;gt; \ [1  2  3  4  3  2  1] &amp;lt;/math&amp;gt;. Padding with zeros gives: &amp;lt;math&amp;gt; \ [1 0 2 0 3 0 4 0 3 0 2 0 1] &amp;lt;/math&amp;gt;. Let&#039;s apply 2 filters.&lt;br /&gt;
&lt;br /&gt;
Filter 1: &amp;lt;math&amp;gt; \ [1 1] &amp;lt;/math&amp;gt; (also written as &amp;lt;math&amp;gt; \ y(kT)=1.0*x(kT) + 1.0*x(k-1)T  &amp;lt;/math&amp;gt;)&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=10040</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=10040"/>
		<updated>2010-11-16T05:06:34Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Homework Assignments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Multi-rate Filtering===&lt;br /&gt;
&lt;br /&gt;
[http://www.google.com/url?url=http://www.mds.com/tech/filter/multirate_article.pdf&amp;amp;rct=j&amp;amp;sa=U&amp;amp;ei=pD_UTJqtKY6ksQPbzPWMCw&amp;amp;ved=0CBUQFjAA&amp;amp;q=Purcell+Multirate+Filters&amp;amp;usg=AFQjCNFsHM7ROpUdrQ6py9ZH_RhQ_BeigA Multirate Filters Introduction]&lt;br /&gt;
&lt;br /&gt;
[http://www.ws.binghamton.edu/fowler/fowler%20personal%20page/EE521_files/IV-05%20Polyphase%20FIlters_2007.pdf Slides from a Presentation on Polyphase Decimation and Interpolation by Mark Fowler]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
[[FIR Filter Example Code for Octave]]&lt;br /&gt;
&lt;br /&gt;
[[Leakage Example Octave Script]]&lt;br /&gt;
&lt;br /&gt;
[[Interpolation using the DFT Example Script]]&lt;br /&gt;
&lt;br /&gt;
===[[Table of Fourier Transform Properties]]===&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5: ([[HW 5|Chris Lau]])&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \mathcal{F}[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 - Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])([[Table of Fourier Transform Properties|Chris Lau]])&lt;br /&gt;
* HW #7 - Finish the practice tests&lt;br /&gt;
* HW #8 - Make a page about interpolating FIR filters. Note how many multiply/add operations.([[Jodi S. Hodge]])([[Interpolating FIR filters|Chris Lau]])&lt;br /&gt;
* HW #9 - Add to #8 writeup how to do a decimating filter and figure out how many multiply &amp;amp; adds are needed for a n/2 decimating low pass filter.([[Jodi S. Hodge]])&lt;br /&gt;
* HW #10 - Use Octave (or Mathlab or Silab) to plot the frequency response of low pass filters with cut off frequencies of 1/32T, 1/8T, and 1/4T and compare how many coeffficients are needed with an eye to answer the question &amp;quot;Is it less calculation to decimate and then filter, or better to put the filter in the pre-decimation filter?&amp;quot; ([[Jodi S. Hodge]])&lt;br /&gt;
* HW #11 - Is our method the same as Mark Flower&#039;s? See &lt;br /&gt;
[http://www.ws.binghamton.edu/fowler/fowler%20personal%20page/EE521_files/IV-05%20Polyphase%20FIlters_2007.pdf Wiki]. Same # multiply and adds? See Notes 11/3/10. ([[Jodi S. Hodge]])&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=10035</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=10035"/>
		<updated>2010-11-10T23:23:50Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Multi-rate Filtering===&lt;br /&gt;
&lt;br /&gt;
[http://www.google.com/url?url=http://www.mds.com/tech/filter/multirate_article.pdf&amp;amp;rct=j&amp;amp;sa=U&amp;amp;ei=pD_UTJqtKY6ksQPbzPWMCw&amp;amp;ved=0CBUQFjAA&amp;amp;q=Purcell+Multirate+Filters&amp;amp;usg=AFQjCNFsHM7ROpUdrQ6py9ZH_RhQ_BeigA Multirate Filters Introduction]&lt;br /&gt;
&lt;br /&gt;
[http://www.ws.binghamton.edu/fowler/fowler%20personal%20page/EE521_files/IV-05%20Polyphase%20FIlters_2007.pdf Slides from a Presentation on Polyphase Decimation and Interpolation by Mark Fowler]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
[[FIR Filter Example Code for Octave]]&lt;br /&gt;
&lt;br /&gt;
===[[Table of Fourier Transform Properties]]===&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5: ([[HW 5|Chris Lau]])&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \mathcal{F}[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 - Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])([[Table of Fourier Transform Properties|Chris Lau]])&lt;br /&gt;
* HW #7 - Finish the practice tests&lt;br /&gt;
* HW #8 - Make a page about interpolating FIR filters. Note how many multiply/add operations.([[Jodi S. Hodge]])&lt;br /&gt;
* HW #9 - Add to #8 writeup how to do a decimating filter and figure out how many multiply &amp;amp; adds are needed for a n/2 decimating low pass filter.([[Jodi S. Hodge]])&lt;br /&gt;
* HW #10 - Use Octave (or Mathlab or Silab) to plot the frequency response of low pass filters with cut off frequencies of 1/32T, 1/8T, and 1/4T and compare how many coeffficients are needed with an eye to answer the question &amp;quot;Is it less calculation to decimate and then filter, or better to put the filter in the pre-decimation filter?&amp;quot; ([[Jodi S. Hodge]])&lt;br /&gt;
* HW #11 - Is our method the same as Mark Flower&#039;s? See &lt;br /&gt;
[http://www.ws.binghamton.edu/fowler/fowler%20personal%20page/EE521_files/IV-05%20Polyphase%20FIlters_2007.pdf Wiki]. Same # multiply and adds? See Notes 11/3/10. ([[Jodi S. Hodge]])&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=10003</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=10003"/>
		<updated>2010-11-02T20:45:52Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Homework Assignments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
===[[Table of Fourier Transform Properties]]===&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5: ([[HW 5|Chris Lau]])&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \mathcal{F}[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 - Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])([[Table of Fourier Transform Properties|Chris Lau]])&lt;br /&gt;
* HW #7 - Finish the practice tests&lt;br /&gt;
* HW #8 - Make a page about interpolating FIR filters. Note how many multiply/add operations.&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9897</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9897"/>
		<updated>2010-10-26T19:52:33Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Homework Assignments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
===[[Table of Fourier Transform Properties]]===&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5: ([[HW 5|Chris Lau]])&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \mathcal{F}[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 - Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])([[Table of Fourier Transform Properties|Chris Lau]])&lt;br /&gt;
* HW #7 - Finish the practice tests&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9896</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9896"/>
		<updated>2010-10-26T19:51:35Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Homework Assignments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
===[[Table of Fourier Transform Properties]]===&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5: ([[HW 5|Chris Lau]])&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \mathcal{F}[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])([[Table of Fourier Transform Properties|Chris Lau]])&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9895</id>
		<title>Table of Fourier Transform Properties</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9895"/>
		<updated>2010-10-26T19:49:23Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
|+ Fourier Transform Properties&lt;br /&gt;
! Property (contributor) !! Expanation&lt;br /&gt;
|-&lt;br /&gt;
| Convolution ([[Ben Henry]]) || If &amp;lt;math&amp;gt;h(x)=\left(f*g\right)(x)&amp;lt;/math&amp;gt;, becomes &amp;amp;thinsp; &amp;lt;math&amp;gt; \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || Given  &#039;&#039;a&#039;&#039;, which is non-zero and real, and &amp;lt;math&amp;gt;\ h(x)=f(ax) &amp;lt;/math&amp;gt;, then &amp;lt;math&amp;gt;\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)&amp;lt;/math&amp;gt;. If &#039;&#039;a&#039;&#039;=−1, then the time-reversal property states: if &amp;lt;math&amp;gt;\ h(x)=f(-x)&amp;lt;/math&amp;gt;, then &amp;lt;math&amp;gt;\hat{h}(\xi)=\hat{f}(-\xi)&amp;lt;/math&amp;gt;.&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9894</id>
		<title>Table of Fourier Transform Properties</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9894"/>
		<updated>2010-10-26T19:48:42Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
|+ Fourier Transform Properties&lt;br /&gt;
! Property (contributor) !! Expanation&lt;br /&gt;
|-&lt;br /&gt;
| Convolution ([[Ben Henry]]) || If &amp;lt;math&amp;gt;h(x)=\left(f*g\right)(x)&amp;lt;/math&amp;gt;, becomes &amp;amp;thinsp; &amp;lt;math&amp;gt; \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || Given  &#039;&#039;a&#039;&#039;, which is non-zero and real, and &amp;lt;math&amp;gt;\ h(x)=f(ax) &amp;lt;/math&amp;gt;, then &amp;lt;math&amp;gt;\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)&amp;lt;/math&amp;gt;. If &#039;&#039;a&#039;&#039;=−1, then the time-reversal property states: if &amp;lt;math&amp;gt;\ h(x)=ƒ(−x)&amp;lt;/math&amp;gt;, then &amp;lt;math&amp;gt;\hat{h}(\xi)=\hat{f}(-\xi)&amp;lt;/math&amp;gt;.&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9893</id>
		<title>Table of Fourier Transform Properties</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9893"/>
		<updated>2010-10-26T19:48:21Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
|+ Fourier Transform Properties&lt;br /&gt;
! Property (contributor) !! Expanation&lt;br /&gt;
|-&lt;br /&gt;
| Convolution ([[Ben Henry]]) || If &amp;lt;math&amp;gt;h(x)=\left(f*g\right)(x)&amp;lt;/math&amp;gt;, becomes &amp;amp;thinsp; &amp;lt;math&amp;gt; \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || Given  &#039;&#039;a&#039;&#039;, which is non-zero and real, and &amp;lt;math&amp;gt;\ h(x)=ƒ(ax) &amp;lt;/math&amp;gt;, then &amp;lt;math&amp;gt;\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)&amp;lt;/math&amp;gt;. If &#039;&#039;a&#039;&#039;=−1, then the time-reversal property states: if &amp;lt;math&amp;gt;\ h(x)=ƒ(−x)&amp;lt;/math&amp;gt;, then &amp;lt;math&amp;gt;\hat{h}(\xi)=\hat{f}(-\xi)&amp;lt;/math&amp;gt;.&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9892</id>
		<title>Table of Fourier Transform Properties</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9892"/>
		<updated>2010-10-26T19:47:49Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
|+ Fourier Transform Properties&lt;br /&gt;
! Property (contributor) !! Expanation&lt;br /&gt;
|-&lt;br /&gt;
| Convolution ([[Ben Henry]]) || If &amp;lt;math&amp;gt;h(x)=\left(f*g\right)(x)&amp;lt;/math&amp;gt;, becomes &amp;amp;thinsp; &amp;lt;math&amp;gt; \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || Given  &#039;&#039;a&#039;&#039;, which is non-zero and real, and &amp;lt;math&amp;gt;\ h(x)=ƒ(ax) &amp;lt;/math&amp;gt;, then &amp;lt;math&amp;gt;\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)&amp;lt;/math&amp;gt;. If &#039;&#039;a&#039;&#039;=−1, then the time-reversal property states: if &amp;lt;math&amp;gt; \ h(x)=ƒ(−x), then&amp;amp;thinsp; &amp;lt;math&amp;gt;\hat{h}(\xi)=\hat{f}(-\xi)&amp;lt;/math&amp;gt;.&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9891</id>
		<title>Table of Fourier Transform Properties</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9891"/>
		<updated>2010-10-26T19:47:20Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
|+ Fourier Transform Properties&lt;br /&gt;
! Property (contributor) !! Expanation&lt;br /&gt;
|-&lt;br /&gt;
| Convolution ([[Ben Henry]]) || If &amp;lt;math&amp;gt;h(x)=\left(f*g\right)(x)&amp;lt;/math&amp;gt;, becomes &amp;amp;thinsp; &amp;lt;math&amp;gt; \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || Given  &#039;&#039;a&#039;&#039;, which is non-zero and real, and &amp;lt;math&amp;gt;\ h(x)=ƒ(ax), then &amp;lt;math&amp;gt;\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)&amp;lt;/math&amp;gt;. If &#039;&#039;a&#039;&#039;&amp;amp;nbsp;=&amp;amp;nbsp;−1, then the time-reversal property states: if &amp;lt;math&amp;gt; \ h(x)=ƒ(−x), then&amp;amp;thinsp; &amp;lt;math&amp;gt;\hat{h}(\xi)=\hat{f}(-\xi)&amp;lt;/math&amp;gt;.&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9890</id>
		<title>Table of Fourier Transform Properties</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9890"/>
		<updated>2010-10-26T19:46:32Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
|+ Fourier Transform Properties&lt;br /&gt;
! Property (contributor) !! Expanation&lt;br /&gt;
|-&lt;br /&gt;
| Convolution ([[Ben Henry]]) || If &amp;lt;math&amp;gt;h(x)=\left(f*g\right)(x)&amp;lt;/math&amp;gt;, becomes &amp;amp;thinsp; &amp;lt;math&amp;gt; \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || Given  &#039;&#039;a&#039;&#039;, which is non-zero and real, and &amp;lt;math&amp;gt; \ h(x)=ƒ(ax), then&amp;amp;thinsp; &amp;lt;math&amp;gt;\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)&amp;lt;/math&amp;gt;.&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;  If &#039;&#039;a&#039;&#039;&amp;amp;nbsp;=&amp;amp;nbsp;−1, then the time-reversal property states: if &amp;lt;math&amp;gt; \ h(x)=ƒ(−x), then&amp;amp;thinsp; &amp;lt;math&amp;gt;\hat{h}(\xi)=\hat{f}(-\xi)&amp;lt;/math&amp;gt;.&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9889</id>
		<title>Table of Fourier Transform Properties</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9889"/>
		<updated>2010-10-26T19:46:13Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
|+ Fourier Transform Properties&lt;br /&gt;
! Property (contributor) !! Expanation&lt;br /&gt;
|-&lt;br /&gt;
| Convolution ([[Ben Henry]]) || If &amp;lt;math&amp;gt;h(x)=\left(f*g\right)(x)&amp;lt;/math&amp;gt;, becomes &amp;amp;thinsp; &amp;lt;math&amp;gt; \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || Given  &#039;&#039;a&#039;&#039;, which is non-zero and real, and &amp;lt;math&amp;gt; / h(x)=ƒ(ax), then&amp;amp;thinsp; &amp;lt;math&amp;gt;\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)&amp;lt;/math&amp;gt;.&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;  If &#039;&#039;a&#039;&#039;&amp;amp;nbsp;=&amp;amp;nbsp;−1, then the time-reversal property states: if &amp;lt;math&amp;gt; / h(x)=ƒ(−x), then&amp;amp;thinsp; &amp;lt;math&amp;gt;\hat{h}(\xi)=\hat{f}(-\xi)&amp;lt;/math&amp;gt;.&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9888</id>
		<title>Table of Fourier Transform Properties</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9888"/>
		<updated>2010-10-26T19:42:19Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
|+ Fourier Transform Properties&lt;br /&gt;
! Property (contributor) !! Expanation&lt;br /&gt;
|-&lt;br /&gt;
| Convolution ([[Ben Henry]]) || If &amp;lt;math&amp;gt;h(x)=\left(f*g\right)(x)&amp;lt;/math&amp;gt;, becomes &amp;amp;thinsp; &amp;lt;math&amp;gt; \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || For a non-zero [[real number]] &#039;&#039;a&#039;&#039;, if &#039;&#039;h&#039;&#039;(&#039;&#039;x&#039;&#039;)&amp;amp;nbsp;=&amp;amp;nbsp;&#039;&#039;ƒ&#039;&#039;(&#039;&#039;ax&#039;&#039;), then&amp;amp;thinsp; &amp;lt;math&amp;gt;\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)&amp;lt;/math&amp;gt;.&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;  The case &#039;&#039;a&#039;&#039;&amp;amp;nbsp;=&amp;amp;nbsp;−1 leads to the &#039;&#039;time-reversal&#039;&#039; property, which states: if &#039;&#039;h&#039;&#039;(&#039;&#039;x&#039;&#039;)&amp;amp;nbsp;=&amp;amp;nbsp;&#039;&#039;ƒ&#039;&#039;(−&#039;&#039;x&#039;&#039;), then&amp;amp;thinsp; &amp;lt;math&amp;gt;\hat{h}(\xi)=\hat{f}(-\xi)&amp;lt;/math&amp;gt;.&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9887</id>
		<title>Table of Fourier Transform Properties</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&amp;diff=9887"/>
		<updated>2010-10-26T19:42:06Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: Created page with &amp;#039; Scaling For a non-zero real number a, if h(x) = ƒ(ax), then  .     The case a = −1 leads to the time-reversal property, which states: if h(x) = ƒ(−x), then   {| class=…&amp;#039;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
Scaling&lt;br /&gt;
For a non-zero real number a, if h(x) = ƒ(ax), then  .     The case a = −1 leads to the time-reversal property, which states: if h(x) = ƒ(−x), then &lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
|+ Fourier Transform Properties&lt;br /&gt;
! Property (contributor) !! Expanation&lt;br /&gt;
|-&lt;br /&gt;
| Convolution ([[Ben Henry]]) || If &amp;lt;math&amp;gt;h(x)=\left(f*g\right)(x)&amp;lt;/math&amp;gt;, becomes &amp;amp;thinsp; &amp;lt;math&amp;gt; \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || For a non-zero [[real number]] &#039;&#039;a&#039;&#039;, if &#039;&#039;h&#039;&#039;(&#039;&#039;x&#039;&#039;)&amp;amp;nbsp;=&amp;amp;nbsp;&#039;&#039;ƒ&#039;&#039;(&#039;&#039;ax&#039;&#039;), then&amp;amp;thinsp; &amp;lt;math&amp;gt;\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)&amp;lt;/math&amp;gt;.&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;  The case &#039;&#039;a&#039;&#039;&amp;amp;nbsp;=&amp;amp;nbsp;−1 leads to the &#039;&#039;time-reversal&#039;&#039; property, which states: if &#039;&#039;h&#039;&#039;(&#039;&#039;x&#039;&#039;)&amp;amp;nbsp;=&amp;amp;nbsp;&#039;&#039;ƒ&#039;&#039;(−&#039;&#039;x&#039;&#039;), then&amp;amp;thinsp; &amp;lt;math&amp;gt;\hat{h}(\xi)=\hat{f}(-\xi)&amp;lt;/math&amp;gt;.&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9886</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9886"/>
		<updated>2010-10-26T19:36:10Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Fourier Transform Properties */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
===[[Table of Fourier Transform Properties]]===&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5: ([[HW 5|Chris Lau]])&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \mathcal{F}[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9885</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9885"/>
		<updated>2010-10-26T19:35:24Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Articles */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
===[[Fourier Transform Properties]]===&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5: ([[HW 5|Chris Lau]])&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \mathcal{F}[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Christopher_Garrison_Lau_I&amp;diff=9884</id>
		<title>Christopher Garrison Lau I</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Christopher_Garrison_Lau_I&amp;diff=9884"/>
		<updated>2010-10-26T19:33:12Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Signals and Systems */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Image:Subaru.jpg]]&lt;br /&gt;
===Contact info=== &lt;br /&gt;
Mask me&lt;br /&gt;
&lt;br /&gt;
===Signals and Systems===&lt;br /&gt;
[[Installing Octave on Mac]]&lt;br /&gt;
&lt;br /&gt;
[[HW 3]]&lt;br /&gt;
&lt;br /&gt;
[[HW 4]]&lt;br /&gt;
&lt;br /&gt;
[[HW 5]]&lt;br /&gt;
&lt;br /&gt;
===Linear Network Analysis===&lt;br /&gt;
[[Fourier Series: Explained!]]&lt;br /&gt;
&lt;br /&gt;
===Engineering Electronics===&lt;br /&gt;
[[Ideal vs. Nonideal Op Amps]]&lt;br /&gt;
&lt;br /&gt;
===Electro-Mechanical Energy Conversion===&lt;br /&gt;
&lt;br /&gt;
[[An Application of Electromechanical Energy Conversion: Hybrid Electric Vehicles]]&lt;br /&gt;
&lt;br /&gt;
In draft: [[An Ideal Transformer Example]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_5&amp;diff=9883</id>
		<title>HW 5</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_5&amp;diff=9883"/>
		<updated>2010-10-26T19:32:55Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[File:HW5.jpg | 900px]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Author===&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9882</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9882"/>
		<updated>2010-10-26T19:32:16Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Homework Assignments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5: ([[HW 5|Chris Lau]])&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \mathcal{F}[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_5&amp;diff=9881</id>
		<title>HW 5</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_5&amp;diff=9881"/>
		<updated>2010-10-26T16:22:55Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[File:HW5.jpg | 900px]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_5&amp;diff=9880</id>
		<title>HW 5</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_5&amp;diff=9880"/>
		<updated>2010-10-26T16:20:50Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: Created page with &amp;#039;Image:HW5.jpg&amp;#039;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Image:HW5.jpg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=File:HW5.jpg&amp;diff=9879</id>
		<title>File:HW5.jpg</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=File:HW5.jpg&amp;diff=9879"/>
		<updated>2010-10-26T16:19:45Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9878</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9878"/>
		<updated>2010-10-26T16:12:25Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Homework Assignments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5: [[HW 5|Chris Lau]]&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \mathcal{F}[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9877</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9877"/>
		<updated>2010-10-25T23:35:49Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Homework Assignments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5:&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \mathcal{F}[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9876</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9876"/>
		<updated>2010-10-25T23:34:10Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Homework Assignments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5:&lt;br /&gt;
** Part 1 -  Find &amp;lt;math&amp;gt; \ F[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt; and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.&lt;br /&gt;
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]&lt;br /&gt;
&lt;br /&gt;
* HW #6 Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=File:20101006KeyDSCN3161.jpg&amp;diff=9875</id>
		<title>File:20101006KeyDSCN3161.jpg</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=File:20101006KeyDSCN3161.jpg&amp;diff=9875"/>
		<updated>2010-10-25T23:31:01Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9874</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9874"/>
		<updated>2010-10-25T23:28:03Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
&lt;br /&gt;
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
&lt;br /&gt;
[[A u(t) function example]]&lt;br /&gt;
&lt;br /&gt;
==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]&lt;br /&gt;
&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
* HW #5 - Find &amp;lt;math&amp;gt; \ F[e^{- \sigma t} x(t)u(t)] &amp;lt;/math&amp;gt;&lt;br /&gt;
* HW #6 Pick a property of the Fourier Transform &amp;amp; present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])&lt;br /&gt;
&lt;br /&gt;
==People Involved with this Wiki==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[Shepherd,Victor|Victor Shepherd]]&lt;br /&gt;
&lt;br /&gt;
===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
&lt;br /&gt;
[[Joshua Sarris]]&lt;br /&gt;
&lt;br /&gt;
[[Kevin Starkey]]&lt;br /&gt;
&lt;br /&gt;
[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Corneliu Turturica]]&lt;br /&gt;
&lt;br /&gt;
===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
&lt;br /&gt;
[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
&lt;br /&gt;
[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
&lt;br /&gt;
[[User:Fonggr|Greg Fong]]&lt;br /&gt;
&lt;br /&gt;
===2007-2008 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
&lt;br /&gt;
[[User:Harrde|Denver Harris]]&lt;br /&gt;
&lt;br /&gt;
[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
&lt;br /&gt;
[[User:RothMi|Michael Roth]]&lt;br /&gt;
&lt;br /&gt;
[[User:Rothsa|Sally Roth]]&lt;br /&gt;
&lt;br /&gt;
===2006-2007 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
&lt;br /&gt;
[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
&lt;br /&gt;
[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
&lt;br /&gt;
[[User:Adkich|Chris Adkins]]&lt;br /&gt;
&lt;br /&gt;
===2005-2006 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
&lt;br /&gt;
[[User:SDiver|Raymond Betz]]&lt;br /&gt;
&lt;br /&gt;
[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
&lt;br /&gt;
[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
&lt;br /&gt;
[[User:wilspa|Paul Wilson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
&lt;br /&gt;
===2004-2005 contributors===&lt;br /&gt;
&lt;br /&gt;
[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
&lt;br /&gt;
[[User:Santsh|Shawn Santana]]&lt;br /&gt;
&lt;br /&gt;
[[User:Goeari|Aric Goe]]&lt;br /&gt;
&lt;br /&gt;
[[User:Caswto|Todd Caswell]]&lt;br /&gt;
&lt;br /&gt;
[[User:Andeda|David Anderson]]&lt;br /&gt;
&lt;br /&gt;
[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Christopher_Garrison_Lau_I&amp;diff=9846</id>
		<title>Christopher Garrison Lau I</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Christopher_Garrison_Lau_I&amp;diff=9846"/>
		<updated>2010-10-15T14:42:44Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Signals and Systems */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Image:Subaru.jpg]]&lt;br /&gt;
===Contact info=== &lt;br /&gt;
Mask me&lt;br /&gt;
&lt;br /&gt;
===Signals and Systems===&lt;br /&gt;
[[Installing Octave on Mac]]&lt;br /&gt;
&lt;br /&gt;
[[HW 3]]&lt;br /&gt;
&lt;br /&gt;
[[HW 4]]&lt;br /&gt;
&lt;br /&gt;
===Linear Network Analysis===&lt;br /&gt;
[[Fourier Series: Explained!]]&lt;br /&gt;
&lt;br /&gt;
===Engineering Electronics===&lt;br /&gt;
[[Ideal vs. Nonideal Op Amps]]&lt;br /&gt;
&lt;br /&gt;
===Electro-Mechanical Energy Conversion===&lt;br /&gt;
&lt;br /&gt;
[[An Application of Electromechanical Energy Conversion: Hybrid Electric Vehicles]]&lt;br /&gt;
&lt;br /&gt;
In draft: [[An Ideal Transformer Example]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_4&amp;diff=9845</id>
		<title>HW 4</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_4&amp;diff=9845"/>
		<updated>2010-10-15T14:42:05Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Author */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[File:HW4.jpg | 900px]]&lt;br /&gt;
&lt;br /&gt;
===Author===&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_4&amp;diff=9844</id>
		<title>HW 4</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_4&amp;diff=9844"/>
		<updated>2010-10-15T14:41:35Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[File:HW4.jpg | 900px]]&lt;br /&gt;
&lt;br /&gt;
===Author===&lt;br /&gt;
&lt;br /&gt;
[[Lau, Chris|Christopher Garrison Lau I]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_4&amp;diff=9843</id>
		<title>HW 4</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_4&amp;diff=9843"/>
		<updated>2010-10-15T14:40:47Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[File:HW4.jpg | 900px]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_4&amp;diff=9842</id>
		<title>HW 4</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_4&amp;diff=9842"/>
		<updated>2010-10-15T14:39:47Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: Created page with &amp;#039;  File:HW4.jpg&amp;#039;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
&lt;br /&gt;
[[File:HW4.jpg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
	<entry>
		<id>https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9841</id>
		<title>Signals and Systems</title>
		<link rel="alternate" type="text/html" href="https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&amp;diff=9841"/>
		<updated>2010-10-15T14:39:17Z</updated>

		<summary type="html">&lt;p&gt;Cdxskier: /* Homework Assignments */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topics ==&lt;br /&gt;
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]&lt;br /&gt;
&lt;br /&gt;
===Individual Subjects===&lt;br /&gt;
*[[Linear Time Invariant System|Linear Time Invariant Systems]]&lt;br /&gt;
**[[The Game|&amp;quot;The Game&amp;quot;]]&lt;br /&gt;
*[[Orthogonal functions|Orthogonal Functions]]&lt;br /&gt;
*[[Energy in a signal|Finding the Energy in a Signal]]&lt;br /&gt;
**[[Rayleigh&#039;s Theorem]]&lt;br /&gt;
*[[Fourier series|Fourier Series]]&lt;br /&gt;
*[[Fourier transform|Fourier Transforms]]&lt;br /&gt;
**[[Discrete Fourier transform]]&lt;br /&gt;
*[[Sampling]]&lt;br /&gt;
*[[FIR Filter Example]]&lt;br /&gt;
*[[Relationship between e, sin and cos]]&lt;br /&gt;
&lt;br /&gt;
== Some Useful Links to Suppliment or Substitute for a Textbook ==&lt;br /&gt;
===Books on Signal Processing===&lt;br /&gt;
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]&lt;br /&gt;
===Fourier Series===&lt;br /&gt;
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]&lt;br /&gt;
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]&lt;br /&gt;
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]&lt;br /&gt;
&lt;br /&gt;
===Dirac Delta Function and Convolution===&lt;br /&gt;
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]&lt;br /&gt;
&lt;br /&gt;
===Course Pages===&lt;br /&gt;
[[2005-2006 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2006-2007 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2008-2009 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[[2009-2010 Assignments]]&lt;br /&gt;
&lt;br /&gt;
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals &amp;amp; Systems]&lt;br /&gt;
&lt;br /&gt;
==Articles==&lt;br /&gt;
&lt;br /&gt;
===Octave Tutorials===&lt;br /&gt;
[[Installing Octave on a Mac]] (Chris Lau)&lt;br /&gt;
&lt;br /&gt;
[[Octave and Scilab on a Mac]] (Ben Henry)&lt;br /&gt;
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[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)&lt;br /&gt;
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[[A u(t) function example]]&lt;br /&gt;
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==Homework Assignments==&lt;br /&gt;
Please put your name next to the assignment, linking it to your submission&lt;br /&gt;
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])&lt;br /&gt;
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])&lt;br /&gt;
* HW #3 - Show graphically that &amp;lt;math&amp;gt; \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)&amp;lt;/math&amp;gt; ([[HW 3|Chris Lau]])&lt;br /&gt;
* HW #4 - Given a linear time-invariant system where &amp;lt;math&amp;gt;\ u(t) &amp;lt;/math&amp;gt; produces an output &amp;lt;math&amp;gt;\ w(t) &amp;lt;/math&amp;gt;, find the output due to any function &amp;lt;math&amp;gt;\ x(t) &amp;lt;/math&amp;gt; ([[HW 4|Chris Lau]])&lt;br /&gt;
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==People Involved with this Wiki==&lt;br /&gt;
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===2010-2011 Contributors===&lt;br /&gt;
[[Ben Henry|Henry, Ben]]&lt;br /&gt;
&lt;br /&gt;
[[Christopher Garrison Lau I]]&lt;br /&gt;
&lt;br /&gt;
[[user:chris.wills|Chris Wills]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi S. Hodge]]&lt;br /&gt;
&lt;br /&gt;
[[Luke Chilson]]&lt;br /&gt;
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[[Shepherd,Victor]]&lt;br /&gt;
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===2009-2010 Contributors===&lt;br /&gt;
[[Nick Christman]]&lt;br /&gt;
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[[Joshua Sarris]]&lt;br /&gt;
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[[Kevin Starkey]]&lt;br /&gt;
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[[Max Woesner]]&lt;br /&gt;
&lt;br /&gt;
[[Jodi Hodge]]&lt;br /&gt;
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[[Corneliu Turturica]]&lt;br /&gt;
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===2008-2009 Contributors===&lt;br /&gt;
[[User:eric.clay|Eric Clay]]&lt;br /&gt;
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[[User:tsung-lin.yang|Chuck Yang]]&lt;br /&gt;
&lt;br /&gt;
[[User:elton.zebron|Elton Zebron]]&lt;br /&gt;
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[[User:Luke.chilson|Luke Chilson]]&lt;br /&gt;
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[[User:Brandon.price|Brandon Price]]&lt;br /&gt;
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[[User:Fonggr|Greg Fong]]&lt;br /&gt;
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===2007-2008 contributors===&lt;br /&gt;
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[[User:baldwin.britton|Baldwin Britton]]&lt;br /&gt;
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[[User:Harrde|Denver Harris]]&lt;br /&gt;
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[[User:Pridma|Mark Priddy]]&lt;br /&gt;
&lt;br /&gt;
[[User:ChrisRas|Chris Rasmussen]]&lt;br /&gt;
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[[User:RothMi|Michael Roth]]&lt;br /&gt;
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[[User:Rothsa|Sally Roth]]&lt;br /&gt;
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===2006-2007 contributors===&lt;br /&gt;
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[[User:Smitry|Ryan J Smith]]&lt;br /&gt;
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[[User:Nathan|Nathan Ferch]]&lt;br /&gt;
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[[User:Andrew|Andrew Lopez]]&lt;br /&gt;
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[[User:Sherna|Nathan Sherman]]&lt;br /&gt;
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[[User:Adkich|Chris Adkins]]&lt;br /&gt;
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===2005-2006 contributors===&lt;br /&gt;
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[[User:GabrielaV|Gabriela Valdivia]]&lt;br /&gt;
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[[User:SDiver|Raymond Betz]]&lt;br /&gt;
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[[User:chrijen|Jenni Christensen]]&lt;br /&gt;
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[[User:wonoje|Jeffrey Wonoprabowo]]&lt;br /&gt;
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[[User:wilspa|Paul Wilson]]&lt;br /&gt;
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[[User:Frohro|Instructor: Rob Frohne]]&lt;br /&gt;
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===2004-2005 contributors===&lt;br /&gt;
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[[User:Barnsa|Sam Barnes]]&lt;br /&gt;
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[[User:Santsh|Shawn Santana]]&lt;br /&gt;
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[[User:Goeari|Aric Goe]]&lt;br /&gt;
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[[User:Caswto|Todd Caswell]]&lt;br /&gt;
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[[User:Andeda|David Anderson]]&lt;br /&gt;
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[[User:Guenan|Anthony Guenterberg]]&lt;/div&gt;</summary>
		<author><name>Cdxskier</name></author>
	</entry>
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