https://fweb.wallawalla.edu/class-wiki/api.php?action=feedcontributions&user=Cdxskier&feedformat=atom
Class Wiki - User contributions [en]
2024-03-28T18:59:25Z
User contributions
MediaWiki 1.39.1
https://fweb.wallawalla.edu/class-wiki/index.php?title=Power_Electronics&diff=10434
Power Electronics
2012-04-09T19:05:58Z
<p>Cdxskier: </p>
<hr />
<div>[[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr432index.htm Class Notes]]<br />
<br />
==Feedback Analysis of Switched Mode Power Supplies==<br />
<br />
====How to Use LTSpice with the supplied PSpice Models====<br />
*[[http://denethor.wlu.ca/ltspice/#models A page showing how to import models]]<br />
*[[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.)<br />
<br />
<br />
====Class Project 2011====<br />
*[http://mtjungle.com/pe/ 120 VAC LED Light Project]<br />
<br />
<br />
====Reliability====<br />
[http://www.pvmips.org/publications/017.pdf Grid Tie Inverter Reliability] (Electrolytics and IGBTs have poor reliability.)<br />
<br />
<br />
==KiCAD Tutorials==<br />
The following links are to the best KiCAD Tutorials that I've found. They're the only ones with voice narration. Unfortunately, the video's creator thought it would be better to use a synthesized voice. It can be quite tiresome. (Posted by Chris Lau 4/9/12)<br />
*[http://www.youtube.com/watch?v=rkQ0nVX1q1k Tutorial 1]<br />
*[http://www.youtube.com/watch?v=8HNMihqa844&feature=plcp&context=C46c7c99VDvjVQa1PpcFOo1yAmios_qLe59l30SDJc8OLz1rz8GQs%3D Tutorial 2]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=10126
Signals and Systems
2010-12-02T06:07:40Z
<p>Cdxskier: /* Homework Assignments */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Multi-rate Filtering===<br />
<br />
[http://www.google.com/url?url=http://www.mds.com/tech/filter/multirate_article.pdf&rct=j&sa=U&ei=pD_UTJqtKY6ksQPbzPWMCw&ved=0CBUQFjAA&q=Purcell+Multirate+Filters&usg=AFQjCNFsHM7ROpUdrQ6py9ZH_RhQ_BeigA Multirate Filters Introduction]<br />
<br />
[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]<br />
<br />
===FIR Filters===<br />
<br />
[http://www.dspguru.com/dsp/faqs/fir This is a very easy-to-understand summary of FIR basics, properties, design, and implementation]<br />
<br />
[http://www.dspguru.com/dsp/faqs/multirate/decimation Another easy-to-understand article about decimation]<br />
<br />
[http://www.dspguru.com/dsp/faqs/multirate/interpolation Another easy-to-understand article about interpolation]<br />
<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
[[FIR Filter Example Code for Octave]]<br />
<br />
[[Leakage Example Octave Script]]<br />
<br />
[[Interpolation using the DFT Example Script]]<br />
<br />
[[Tuner Upper Removal Demonstration]]<br />
<br />
[[Airplane Noise Removal Demonstration]]<br />
<br />
===[[Table of Fourier Transform Properties]]===<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5: ([[HW 5|Chris Lau]])<br />
** Part 1 - Find <math> \mathcal{F}[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 - Pick a property of the Fourier Transform & 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]])<br />
* HW #7 - Finish the practice tests<br />
* 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]])<br />
* HW #9 - Add to #8 writeup how to do a decimating filter and figure out how many multiply & adds are needed for a n/2 decimating low pass filter.([[Jodi S. Hodge]])([[Decimating FIR filters|Chris Lau]])([[Hw9|Victor Shepherd)]]<br />
* 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 "Is it less calculation to decimate and then filter, or better to put the filter in the pre-decimation filter?" ([[Jodi S. Hodge]])([[Hw10|Victor Shepherd)]]<br />
* HW #11 - Is our method the same as Mark Fowler's? See <br />
[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)]]<br />
* HW #12 - Experiment with a variety of signals having a 3Khz bandwidth to determine the resolution you can get when doing a cross correlation <math> \ r(m) =<br />
<br />
\displaystyle\sum\limits_{n=0}^{N-1} x(n) x(n+m) </math>. You can generate the signals randomly and filter them to obtain the band-limited signals. ([[Jodi S. Hodge]])<br />
* HW #13 - Derive the following realtions:<br />
**a) <math>DFT(x(k-l))\!</math><br />
**b) <math> DFT(e^{j2 \pi lk/N}x(k)\!</math><br />
**c) <math>\sum\limits_{k=0}^{N-1} x(k)y(k)^{*}=c\sum\limits_{k=0}^{N-1} X(n)Y(n)^{*}</math> <br />
<br />
* HW #14 - Come up with a use for an adaptiveFIR filter and make an Octave script to demonstrate it. ([[Jodi S. Hodge]])<br />
* HW #15 - Do Practice Exam II<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Ben Henry]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Decimating_FIR_filters&diff=10055
Decimating FIR filters
2010-11-17T00:57:00Z
<p>Cdxskier: Created page with 'This page offers a brief instruction to the design of a decimation FIR filter. ==Interesting Points=='</p>
<hr />
<div>This page offers a brief instruction to the design of a decimation FIR filter.<br />
<br />
==Interesting Points==</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=10054
Signals and Systems
2010-11-17T00:51:48Z
<p>Cdxskier: /* Some Useful Links to Suppliment or Substitute for a Textbook */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Multi-rate Filtering===<br />
<br />
[http://www.google.com/url?url=http://www.mds.com/tech/filter/multirate_article.pdf&rct=j&sa=U&ei=pD_UTJqtKY6ksQPbzPWMCw&ved=0CBUQFjAA&q=Purcell+Multirate+Filters&usg=AFQjCNFsHM7ROpUdrQ6py9ZH_RhQ_BeigA Multirate Filters Introduction]<br />
<br />
[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]<br />
<br />
===FIR Filters===<br />
<br />
[http://www.dspguru.com/dsp/faqs/fir This is a very easy-to-understand summary of FIR basics, properties, design, and implementation]<br />
<br />
[http://www.dspguru.com/dsp/faqs/multirate/decimation Another easy-to-understand article about decimation]<br />
<br />
[http://www.dspguru.com/dsp/faqs/multirate/interpolation Another easy-to-understand article about interpolation]<br />
<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
[[FIR Filter Example Code for Octave]]<br />
<br />
[[Leakage Example Octave Script]]<br />
<br />
[[Interpolation using the DFT Example Script]]<br />
<br />
===[[Table of Fourier Transform Properties]]===<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5: ([[HW 5|Chris Lau]])<br />
** Part 1 - Find <math> \mathcal{F}[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 - Pick a property of the Fourier Transform & 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]])<br />
* HW #7 - Finish the practice tests<br />
* HW #8 - Make a page about interpolating FIR filters. Note how many multiply/add operations.([[Jodi S. Hodge]])([[Interpolating FIR filters|Chris Lau]])<br />
* HW #9 - Add to #8 writeup how to do a decimating filter and figure out how many multiply & adds are needed for a n/2 decimating low pass filter.([[Jodi S. Hodge]])([[Decimating FIR filters|Chris Lau]])<br />
* 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 "Is it less calculation to decimate and then filter, or better to put the filter in the pre-decimation filter?" ([[Jodi S. Hodge]])<br />
* HW #11 - Is our method the same as Mark Flower's? See <br />
[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]])<br />
* HW #12 - Experiment with a variety of signals having a 3Khz bandwidth to determine the resolution you can get when doing a cross correlation <math> \ r(m) =<br />
<br />
\displaystyle\sum\limits_{n=0}^{N-1} x(n) x(n+m) </math>. You can generate the signals randomly and filter them to obtain the band-limited signals.<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Christopher_Garrison_Lau_I&diff=10053
Christopher Garrison Lau I
2010-11-17T00:28:18Z
<p>Cdxskier: /* Signals and Systems */</p>
<hr />
<div>[[Image:Subaru.jpg]]<br />
===Contact info=== <br />
Mask me<br />
<br />
===Signals and Systems===<br />
[[Installing Octave on Mac]]<br />
<br />
[[HW 3]]<br />
<br />
[[HW 4]]<br />
<br />
[[HW 5]]<br />
<br />
[[Table of Fourier Transform Properties]]<br />
<br />
[[Interpolating FIR filters]]<br />
<br />
===Linear Network Analysis===<br />
[[Fourier Series: Explained!]]<br />
<br />
===Engineering Electronics===<br />
[[Ideal vs. Nonideal Op Amps]]<br />
<br />
===Electro-Mechanical Energy Conversion===<br />
<br />
[[An Application of Electromechanical Energy Conversion: Hybrid Electric Vehicles]]<br />
<br />
In draft: [[An Ideal Transformer Example]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Christopher_Garrison_Lau_I&diff=10052
Christopher Garrison Lau I
2010-11-17T00:28:04Z
<p>Cdxskier: </p>
<hr />
<div>[[Image:Subaru.jpg]]<br />
===Contact info=== <br />
Mask me<br />
<br />
===Signals and Systems===<br />
[[Installing Octave on Mac]]<br />
<br />
[[HW 3]]<br />
<br />
[[HW 4]]<br />
<br />
[[HW 5]]<br />
<br />
[[Table of Fourier Transform Properties]]<br />
<br />
[[<br />
<br />
Interpolating FIR filters]]<br />
<br />
===Linear Network Analysis===<br />
[[Fourier Series: Explained!]]<br />
<br />
===Engineering Electronics===<br />
[[Ideal vs. Nonideal Op Amps]]<br />
<br />
===Electro-Mechanical Energy Conversion===<br />
<br />
[[An Application of Electromechanical Energy Conversion: Hybrid Electric Vehicles]]<br />
<br />
In draft: [[An Ideal Transformer Example]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&diff=10051
Interpolating FIR filters
2010-11-17T00:26:38Z
<p>Cdxskier: /* Related Topics */</p>
<hr />
<div>This page offers a brief explanation of interpolation FIR filters.<br />
<br />
==Example==<br />
Assume we start with the sample <math> \ [1 \ 2 \ 3 \ 4 \ 3 \ 2 \ 1] </math>. Padding with zeros gives: <math> \ [1 \ 0 \ 2 \ 0 \ 3 \ 0 \ 4 \ 0 \ 5 \ 0 \ 3 \ 0 \ 2 \ 0 \ 1] </math>. Let's apply 2 filters.<br />
<br />
<br />
Filter 1: <math> \ [1 \ 1] </math> (also written as <math> \ y(kT)=1.0 \cdot x(kT) + 1.0 \cdot x(k-1)T </math>).<br />
<br />
This filter gives: <math> \ [1 \ 1 \ 2 \ 2 \ 3 \ 3 \ 4 \ 4 \ 5 \ 5 \ 4 \ 4 \ 3 \ 3 \ 2 \ 2 \ 1 \ 1] </math>. This is a hold function.<br />
<br />
<br />
Filter 2: <math> \ [0.5 \ 1 \ 0.5] </math> (also written as <math> \ y(kT)=0.5 \cdot x(kT) + 1.0 \cdot x(k-1)T + 0.5 \cdot x(k-2)T </math><br />
<br />
This filter gives: <math> \ [.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] </math>. This is a linear interpolater.<br />
<br />
==Multiply/add Operations==<br />
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: <math> \ (L_h L_x-pL_x)/q </math> where <math> \ L_h </math> and <math> \ L_x </math> are the lengths of <math> \ h[n] </math>(the impulse response of the FIR filter) and <math> \ x[n] </math>(the original signal), respectively.<br />
<br />
==Related Topics==<br />
Check out my article on [[Decimating FIR filters]].<br />
<br />
===Author===<br />
[[Christopher Garrison Lau I]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&diff=10050
Interpolating FIR filters
2010-11-17T00:26:18Z
<p>Cdxskier: </p>
<hr />
<div>This page offers a brief explanation of interpolation FIR filters.<br />
<br />
==Example==<br />
Assume we start with the sample <math> \ [1 \ 2 \ 3 \ 4 \ 3 \ 2 \ 1] </math>. Padding with zeros gives: <math> \ [1 \ 0 \ 2 \ 0 \ 3 \ 0 \ 4 \ 0 \ 5 \ 0 \ 3 \ 0 \ 2 \ 0 \ 1] </math>. Let's apply 2 filters.<br />
<br />
<br />
Filter 1: <math> \ [1 \ 1] </math> (also written as <math> \ y(kT)=1.0 \cdot x(kT) + 1.0 \cdot x(k-1)T </math>).<br />
<br />
This filter gives: <math> \ [1 \ 1 \ 2 \ 2 \ 3 \ 3 \ 4 \ 4 \ 5 \ 5 \ 4 \ 4 \ 3 \ 3 \ 2 \ 2 \ 1 \ 1] </math>. This is a hold function.<br />
<br />
<br />
Filter 2: <math> \ [0.5 \ 1 \ 0.5] </math> (also written as <math> \ y(kT)=0.5 \cdot x(kT) + 1.0 \cdot x(k-1)T + 0.5 \cdot x(k-2)T </math><br />
<br />
This filter gives: <math> \ [.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] </math>. This is a linear interpolater.<br />
<br />
==Multiply/add Operations==<br />
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: <math> \ (L_h L_x-pL_x)/q </math> where <math> \ L_h </math> and <math> \ L_x </math> are the lengths of <math> \ h[n] </math>(the impulse response of the FIR filter) and <math> \ x[n] </math>(the original signal), respectively.<br />
<br />
==Related Topics==<br />
Check out my article on [[Decimating FIR Filters]].<br />
<br />
===Author===<br />
[[Christopher Garrison Lau I]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=10049
Signals and Systems
2010-11-17T00:24:17Z
<p>Cdxskier: /* Homework Assignments */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Multi-rate Filtering===<br />
<br />
[http://www.google.com/url?url=http://www.mds.com/tech/filter/multirate_article.pdf&rct=j&sa=U&ei=pD_UTJqtKY6ksQPbzPWMCw&ved=0CBUQFjAA&q=Purcell+Multirate+Filters&usg=AFQjCNFsHM7ROpUdrQ6py9ZH_RhQ_BeigA Multirate Filters Introduction]<br />
<br />
[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]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
[[FIR Filter Example Code for Octave]]<br />
<br />
[[Leakage Example Octave Script]]<br />
<br />
[[Interpolation using the DFT Example Script]]<br />
<br />
===[[Table of Fourier Transform Properties]]===<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5: ([[HW 5|Chris Lau]])<br />
** Part 1 - Find <math> \mathcal{F}[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 - Pick a property of the Fourier Transform & 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]])<br />
* HW #7 - Finish the practice tests<br />
* HW #8 - Make a page about interpolating FIR filters. Note how many multiply/add operations.([[Jodi S. Hodge]])([[Interpolating FIR filters|Chris Lau]])<br />
* HW #9 - Add to #8 writeup how to do a decimating filter and figure out how many multiply & adds are needed for a n/2 decimating low pass filter.([[Jodi S. Hodge]])([[Decimating FIR filters|Chris Lau]])<br />
* 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 "Is it less calculation to decimate and then filter, or better to put the filter in the pre-decimation filter?" ([[Jodi S. Hodge]])<br />
* HW #11 - Is our method the same as Mark Flower's? See <br />
[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]])<br />
* HW #12 - Experiment with a variety of signals having a 3Khz bandwidth to determine the resolution you can get when doing a cross correlation <math> \ r(m) =<br />
<br />
\displaystyle\sum\limits_{n=0}^{N-1} x(n) x(n+m) </math>. You can generate the signals randomly and filter them to obtain the band-limited signals.<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=10048
Signals and Systems
2010-11-17T00:18:22Z
<p>Cdxskier: /* Homework Assignments */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Multi-rate Filtering===<br />
<br />
[http://www.google.com/url?url=http://www.mds.com/tech/filter/multirate_article.pdf&rct=j&sa=U&ei=pD_UTJqtKY6ksQPbzPWMCw&ved=0CBUQFjAA&q=Purcell+Multirate+Filters&usg=AFQjCNFsHM7ROpUdrQ6py9ZH_RhQ_BeigA Multirate Filters Introduction]<br />
<br />
[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]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
[[FIR Filter Example Code for Octave]]<br />
<br />
[[Leakage Example Octave Script]]<br />
<br />
[[Interpolation using the DFT Example Script]]<br />
<br />
===[[Table of Fourier Transform Properties]]===<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5: ([[HW 5|Chris Lau]])<br />
** Part 1 - Find <math> \mathcal{F}[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 - Pick a property of the Fourier Transform & 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]])<br />
* HW #7 - Finish the practice tests<br />
* HW #8 - Make a page about interpolating FIR filters. Note how many multiply/add operations.([[Jodi S. Hodge]])([[Interpolating FIR filters|Chris Lau]])<br />
* HW #9 - Add to #8 writeup how to do a decimating filter and figure out how many multiply & adds are needed for a n/2 decimating low pass filter.([[Jodi S. Hodge]])<br />
* 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 "Is it less calculation to decimate and then filter, or better to put the filter in the pre-decimation filter?" ([[Jodi S. Hodge]])<br />
* HW #11 - Is our method the same as Mark Flower's? See <br />
[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]])<br />
* HW #12 - Experiment with a variety of signals having a 3Khz bandwidth to determine the resolution you can get when doing a cross correlation <math> \ r(m) =<br />
<br />
\displaystyle\sum\limits_{n=0}^{N-1} x(n) x(n+m) </math>. You can generate the signals randomly and filter them to obtain the band-limited signals.<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&diff=10047
Interpolating FIR filters
2010-11-16T21:48:47Z
<p>Cdxskier: /* Example */</p>
<hr />
<div>This page offers a brief explanation of interpolation FIR filters.<br />
<br />
==Example==<br />
Assume we start with the sample <math> \ [1 \ 2 \ 3 \ 4 \ 3 \ 2 \ 1] </math>. Padding with zeros gives: <math> \ [1 \ 0 \ 2 \ 0 \ 3 \ 0 \ 4 \ 0 \ 5 \ 0 \ 3 \ 0 \ 2 \ 0 \ 1] </math>. Let's apply 2 filters.<br />
<br />
<br />
Filter 1: <math> \ [1 \ 1] </math> (also written as <math> \ y(kT)=1.0 \cdot x(kT) + 1.0 \cdot x(k-1)T </math>).<br />
<br />
This filter gives: <math> \ [1 \ 1 \ 2 \ 2 \ 3 \ 3 \ 4 \ 4 \ 5 \ 5 \ 4 \ 4 \ 3 \ 3 \ 2 \ 2 \ 1 \ 1] </math>. This is a hold function.<br />
<br />
<br />
Filter 2: <math> \ [0.5 \ 1 \ 0.5] </math> (also written as <math> \ y(kT)=0.5 \cdot x(kT) + 1.0 \cdot x(k-1)T + 0.5 \cdot x(k-2)T </math><br />
<br />
This filter gives: <math> \ [.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] </math>. This is a linear interpolater.<br />
<br />
==Multiply/add Operations==<br />
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: <math> \ (L_h L_x-pL_x)/q </math> where <math> \ L_h </math> and <math> \ L_x </math> are the lengths of <math> \ h[n] </math>(the impulse response of the FIR filter) and <math> \ x[n] </math>(the original signal), respectively.</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&diff=10046
Interpolating FIR filters
2010-11-16T21:47:31Z
<p>Cdxskier: /* Multiply/add Operations */</p>
<hr />
<div>This page offers a brief explanation of interpolation FIR filters.<br />
<br />
==Example==<br />
Assume we start with the sample <math> \ [1 \ 2 \ 3 \ 4 \ 3 \ 2 \ 1] </math>. Padding with zeros gives: <math> \ [1 \ 0 \ 2 \ 0 \ 3 \ 0 \ 4 \ 0 \ 5 \ 0 \ 3 \ 0 \ 2 \ 0 \ 1] </math>. Let's apply 2 filters.<br />
<br />
<br />
Filter 1: <math> \ [1 \ 1] </math> (also written as <math> \ y(kT)=1.0*x(kT) + 1.0*x(k-1)T </math>).<br />
<br />
This filter gives: <math> \ [1 \ 1 \ 2 \ 2 \ 3 \ 3 \ 4 \ 4 \ 5 \ 5 \ 4 \ 4 \ 3 \ 3 \ 2 \ 2 \ 1 \ 1] </math>. This is a hold function.<br />
<br />
<br />
Filter 2: <math> \ [0.5 \ 1 \ 0.5] </math> (also written as <math> \ y(kT)=0.5*x(kT) + 1.0*x(k-1)T + 0.5*x(k-2)T </math><br />
<br />
This filter gives: <math> \ [.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] </math>. This is a linear interpolater.<br />
<br />
==Multiply/add Operations==<br />
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: <math> \ (L_h L_x-pL_x)/q </math> where <math> \ L_h </math> and <math> \ L_x </math> are the lengths of <math> \ h[n] </math>(the impulse response of the FIR filter) and <math> \ x[n] </math>(the original signal), respectively.</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&diff=10045
Interpolating FIR filters
2010-11-16T21:43:28Z
<p>Cdxskier: </p>
<hr />
<div>This page offers a brief explanation of interpolation FIR filters.<br />
<br />
==Example==<br />
Assume we start with the sample <math> \ [1 \ 2 \ 3 \ 4 \ 3 \ 2 \ 1] </math>. Padding with zeros gives: <math> \ [1 \ 0 \ 2 \ 0 \ 3 \ 0 \ 4 \ 0 \ 5 \ 0 \ 3 \ 0 \ 2 \ 0 \ 1] </math>. Let's apply 2 filters.<br />
<br />
<br />
Filter 1: <math> \ [1 \ 1] </math> (also written as <math> \ y(kT)=1.0*x(kT) + 1.0*x(k-1)T </math>).<br />
<br />
This filter gives: <math> \ [1 \ 1 \ 2 \ 2 \ 3 \ 3 \ 4 \ 4 \ 5 \ 5 \ 4 \ 4 \ 3 \ 3 \ 2 \ 2 \ 1 \ 1] </math>. This is a hold function.<br />
<br />
<br />
Filter 2: <math> \ [0.5 \ 1 \ 0.5] </math> (also written as <math> \ y(kT)=0.5*x(kT) + 1.0*x(k-1)T + 0.5*x(k-2)T </math><br />
<br />
This filter gives: <math> \ [.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] </math>. This is a linear interpolater.<br />
<br />
==Multiply/add Operations==<br />
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: <math> \ (LhLx-pLx)/q </math> where <math> \ Lh </math> and <math> \ Lx </math> are the lengths of <math> \ h[n] </math>(the impulse response of the FIR filter) and <math> \ x[n] </math>(the original signal), respectively.</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&diff=10044
Interpolating FIR filters
2010-11-16T21:18:24Z
<p>Cdxskier: </p>
<hr />
<div>This page offers a brief explanation of interpolation FIR filters.<br />
<br />
==Example==<br />
Assume we start with the sample <math> \ [1 \ 2 \ 3 \ 4 \ 3 \ 2 \ 1] </math>. Padding with zeros gives: <math> \ [1 \ 0 \ 2 \ 0 \ 3 \ 0 \ 4 \ 0 \ 5 \ 0 \ 3 \ 0 \ 2 \ 0 \ 1] </math>. Let's apply 2 filters.<br />
<br />
<br />
Filter 1: <math> \ [1 \ 1] </math> (also written as <math> \ y(kT)=1.0*x(kT) + 1.0*x(k-1)T </math>).<br />
<br />
This filter gives: <math> \ [1 \ 1 \ 2 \ 2 \ 3 \ 3 \ 4 \ 4 \ 5 \ 5 \ 4 \ 4 \ 3 \ 3 \ 2 \ 2 \ 1 \ 1] </math>. This is a hold function.<br />
<br />
<br />
Filter 2: <math> \ [0.5 \ 1 \ 0.5] </math> (also written as <math> \ y(kT)=0.5*x(kT) + 1.0*x(k-1)T + 0.5*x(k-2)T </math><br />
<br />
This filter gives: <math> \ [.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] </math>. This is a linear interpolater.</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&diff=10043
Interpolating FIR filters
2010-11-16T21:16:09Z
<p>Cdxskier: </p>
<hr />
<div>This page offers a brief explanation of interpolation FIR filters.<br />
<br />
==Example==<br />
Assume we start with the sample <math> \ [1 \ 2 \ 3 \ 4 \ 3 \ 2 \ 1] </math>. Padding with zeros gives: <math> \ [1 \ 0 \ 2 \ 0 \ 3 \ 0 \ 4 \ 0 \ 3 \ 0 \ 2 \ 0 \ 1] </math>. Let's apply 2 filters.<br />
<br />
Filter 1: <math> \ [1 \ 1] </math> (also written as <math> \ y(kT)=1.0*x(kT) + 1.0*x(k-1)T </math>). This filter gives: <math> \ [1 \ 1 \ 2 \ 2 \ 3 \ 3 \ 4 \ 4 \ 5 \ 5 \ 4 \ 4 \ 3 \ 3 \ 2 \ 2 \ 1 \ 1] </math>. This is a hold function.<br />
<br />
Filter 2: <math> \ [0.5 \ 1 \ 0.5] </math> (also written as <math> \ y(kT)=0.5*x(kT) + 1.0*x(k-1)T + 0.5*x(k-2)T </math><br />
<br />
This filter gives: <math> \ [.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] </math>. This is a linear interpolater.</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&diff=10042
Interpolating FIR filters
2010-11-16T21:10:17Z
<p>Cdxskier: </p>
<hr />
<div>This page offers a brief explanation of interpolation FIR filters.<br />
<br />
==Example==<br />
Assume we start with the sample <math> \ [1 2 3 4 3 2 1] </math>. Padding with zeros gives: <math> \ [1 0 2 0 3 0 4 0 3 0 2 0 1] </math>. Let's apply 2 filters.<br />
<br />
Filter 1: <math> \ [1 1] </math> (also written as <math> \ y(kT)=1.0*x(kT) + 1.0*x(k-1)T </math>). This filter gives: <math> \ [1 1 2 2 3 3 4 4 5 5 4 4 3 3 2 2 1 1] </math>. This is a hold function.<br />
<br />
Filter 2: <math> \ [0.5 1 0.5] </math> (also written as <math> \ y(kT)=0.5*x(kT) + 1.0*x(k-1)T + 0.5*x(k-2)T </math><br />
<br />
This filter gives: <math> \ [.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] </math>. This is a linear interpolater.</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Interpolating_FIR_filters&diff=10041
Interpolating FIR filters
2010-11-16T05:19:10Z
<p>Cdxskier: Created page with 'This page offers a brief explanation of interpolation FIR filters. ==Example== Assume we start with the sample <math> \ [1 2 3 4 3 2 1] </math>. Padding with zeros gives: …'</p>
<hr />
<div>This page offers a brief explanation of interpolation FIR filters.<br />
<br />
==Example==<br />
Assume we start with the sample <math> \ [1 2 3 4 3 2 1] </math>. Padding with zeros gives: <math> \ [1 0 2 0 3 0 4 0 3 0 2 0 1] </math>. Let's apply 2 filters.<br />
<br />
Filter 1: <math> \ [1 1] </math> (also written as <math> \ y(kT)=1.0*x(kT) + 1.0*x(k-1)T </math>)</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=10040
Signals and Systems
2010-11-16T05:06:34Z
<p>Cdxskier: /* Homework Assignments */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Multi-rate Filtering===<br />
<br />
[http://www.google.com/url?url=http://www.mds.com/tech/filter/multirate_article.pdf&rct=j&sa=U&ei=pD_UTJqtKY6ksQPbzPWMCw&ved=0CBUQFjAA&q=Purcell+Multirate+Filters&usg=AFQjCNFsHM7ROpUdrQ6py9ZH_RhQ_BeigA Multirate Filters Introduction]<br />
<br />
[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]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
[[FIR Filter Example Code for Octave]]<br />
<br />
[[Leakage Example Octave Script]]<br />
<br />
[[Interpolation using the DFT Example Script]]<br />
<br />
===[[Table of Fourier Transform Properties]]===<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5: ([[HW 5|Chris Lau]])<br />
** Part 1 - Find <math> \mathcal{F}[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 - Pick a property of the Fourier Transform & 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]])<br />
* HW #7 - Finish the practice tests<br />
* HW #8 - Make a page about interpolating FIR filters. Note how many multiply/add operations.([[Jodi S. Hodge]])([[Interpolating FIR filters|Chris Lau]])<br />
* HW #9 - Add to #8 writeup how to do a decimating filter and figure out how many multiply & adds are needed for a n/2 decimating low pass filter.([[Jodi S. Hodge]])<br />
* 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 "Is it less calculation to decimate and then filter, or better to put the filter in the pre-decimation filter?" ([[Jodi S. Hodge]])<br />
* HW #11 - Is our method the same as Mark Flower's? See <br />
[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]])<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=10035
Signals and Systems
2010-11-10T23:23:50Z
<p>Cdxskier: </p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Multi-rate Filtering===<br />
<br />
[http://www.google.com/url?url=http://www.mds.com/tech/filter/multirate_article.pdf&rct=j&sa=U&ei=pD_UTJqtKY6ksQPbzPWMCw&ved=0CBUQFjAA&q=Purcell+Multirate+Filters&usg=AFQjCNFsHM7ROpUdrQ6py9ZH_RhQ_BeigA Multirate Filters Introduction]<br />
<br />
[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]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
[[FIR Filter Example Code for Octave]]<br />
<br />
===[[Table of Fourier Transform Properties]]===<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5: ([[HW 5|Chris Lau]])<br />
** Part 1 - Find <math> \mathcal{F}[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 - Pick a property of the Fourier Transform & 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]])<br />
* HW #7 - Finish the practice tests<br />
* HW #8 - Make a page about interpolating FIR filters. Note how many multiply/add operations.([[Jodi S. Hodge]])<br />
* HW #9 - Add to #8 writeup how to do a decimating filter and figure out how many multiply & adds are needed for a n/2 decimating low pass filter.([[Jodi S. Hodge]])<br />
* 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 "Is it less calculation to decimate and then filter, or better to put the filter in the pre-decimation filter?" ([[Jodi S. Hodge]])<br />
* HW #11 - Is our method the same as Mark Flower's? See <br />
[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]])<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=10003
Signals and Systems
2010-11-02T20:45:52Z
<p>Cdxskier: /* Homework Assignments */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
===[[Table of Fourier Transform Properties]]===<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5: ([[HW 5|Chris Lau]])<br />
** Part 1 - Find <math> \mathcal{F}[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 - Pick a property of the Fourier Transform & 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]])<br />
* HW #7 - Finish the practice tests<br />
* HW #8 - Make a page about interpolating FIR filters. Note how many multiply/add operations.<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=9897
Signals and Systems
2010-10-26T19:52:33Z
<p>Cdxskier: /* Homework Assignments */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
===[[Table of Fourier Transform Properties]]===<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5: ([[HW 5|Chris Lau]])<br />
** Part 1 - Find <math> \mathcal{F}[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 - Pick a property of the Fourier Transform & 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]])<br />
* HW #7 - Finish the practice tests<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=9896
Signals and Systems
2010-10-26T19:51:35Z
<p>Cdxskier: /* Homework Assignments */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
===[[Table of Fourier Transform Properties]]===<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5: ([[HW 5|Chris Lau]])<br />
** Part 1 - Find <math> \mathcal{F}[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 Pick a property of the Fourier Transform & 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]])<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&diff=9895
Table of Fourier Transform Properties
2010-10-26T19:49:23Z
<p>Cdxskier: </p>
<hr />
<div>{| class="wikitable" border="1"<br />
|+ Fourier Transform Properties<br />
! Property (contributor) !! Expanation<br />
|-<br />
| Convolution ([[Ben Henry]]) || If <math>h(x)=\left(f*g\right)(x)</math>, becomes &thinsp; <math> \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).</math><br />
|-<br />
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || Given ''a'', which is non-zero and real, and <math>\ h(x)=f(ax) </math>, then <math>\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)</math>. If ''a''=−1, then the time-reversal property states: if <math>\ h(x)=f(-x)</math>, then <math>\hat{h}(\xi)=\hat{f}(-\xi)</math>.<br />
|}</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&diff=9894
Table of Fourier Transform Properties
2010-10-26T19:48:42Z
<p>Cdxskier: </p>
<hr />
<div>{| class="wikitable" border="1"<br />
|+ Fourier Transform Properties<br />
! Property (contributor) !! Expanation<br />
|-<br />
| Convolution ([[Ben Henry]]) || If <math>h(x)=\left(f*g\right)(x)</math>, becomes &thinsp; <math> \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).</math><br />
|-<br />
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || Given ''a'', which is non-zero and real, and <math>\ h(x)=f(ax) </math>, then <math>\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)</math>. If ''a''=−1, then the time-reversal property states: if <math>\ h(x)=ƒ(−x)</math>, then <math>\hat{h}(\xi)=\hat{f}(-\xi)</math>.<br />
|}</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&diff=9893
Table of Fourier Transform Properties
2010-10-26T19:48:21Z
<p>Cdxskier: </p>
<hr />
<div>{| class="wikitable" border="1"<br />
|+ Fourier Transform Properties<br />
! Property (contributor) !! Expanation<br />
|-<br />
| Convolution ([[Ben Henry]]) || If <math>h(x)=\left(f*g\right)(x)</math>, becomes &thinsp; <math> \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).</math><br />
|-<br />
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || Given ''a'', which is non-zero and real, and <math>\ h(x)=ƒ(ax) </math>, then <math>\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)</math>. If ''a''=−1, then the time-reversal property states: if <math>\ h(x)=ƒ(−x)</math>, then <math>\hat{h}(\xi)=\hat{f}(-\xi)</math>.<br />
|}</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&diff=9892
Table of Fourier Transform Properties
2010-10-26T19:47:49Z
<p>Cdxskier: </p>
<hr />
<div>{| class="wikitable" border="1"<br />
|+ Fourier Transform Properties<br />
! Property (contributor) !! Expanation<br />
|-<br />
| Convolution ([[Ben Henry]]) || If <math>h(x)=\left(f*g\right)(x)</math>, becomes &thinsp; <math> \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).</math><br />
|-<br />
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || Given ''a'', which is non-zero and real, and <math>\ h(x)=ƒ(ax) </math>, then <math>\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)</math>. If ''a''=−1, then the time-reversal property states: if <math> \ h(x)=ƒ(−x), then&thinsp; <math>\hat{h}(\xi)=\hat{f}(-\xi)</math>.<br />
|}</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&diff=9891
Table of Fourier Transform Properties
2010-10-26T19:47:20Z
<p>Cdxskier: </p>
<hr />
<div>{| class="wikitable" border="1"<br />
|+ Fourier Transform Properties<br />
! Property (contributor) !! Expanation<br />
|-<br />
| Convolution ([[Ben Henry]]) || If <math>h(x)=\left(f*g\right)(x)</math>, becomes &thinsp; <math> \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).</math><br />
|-<br />
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || Given ''a'', which is non-zero and real, and <math>\ h(x)=ƒ(ax), then <math>\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)</math>. If ''a''&nbsp;=&nbsp;−1, then the time-reversal property states: if <math> \ h(x)=ƒ(−x), then&thinsp; <math>\hat{h}(\xi)=\hat{f}(-\xi)</math>.<br />
|}</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&diff=9890
Table of Fourier Transform Properties
2010-10-26T19:46:32Z
<p>Cdxskier: </p>
<hr />
<div>{| class="wikitable" border="1"<br />
|+ Fourier Transform Properties<br />
! Property (contributor) !! Expanation<br />
|-<br />
| Convolution ([[Ben Henry]]) || If <math>h(x)=\left(f*g\right)(x)</math>, becomes &thinsp; <math> \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).</math><br />
|-<br />
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || Given ''a'', which is non-zero and real, and <math> \ h(x)=ƒ(ax), then&thinsp; <math>\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)</math>.&nbsp;&nbsp;&nbsp;&nbsp; If ''a''&nbsp;=&nbsp;−1, then the time-reversal property states: if <math> \ h(x)=ƒ(−x), then&thinsp; <math>\hat{h}(\xi)=\hat{f}(-\xi)</math>.<br />
|}</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&diff=9889
Table of Fourier Transform Properties
2010-10-26T19:46:13Z
<p>Cdxskier: </p>
<hr />
<div>{| class="wikitable" border="1"<br />
|+ Fourier Transform Properties<br />
! Property (contributor) !! Expanation<br />
|-<br />
| Convolution ([[Ben Henry]]) || If <math>h(x)=\left(f*g\right)(x)</math>, becomes &thinsp; <math> \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).</math><br />
|-<br />
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || Given ''a'', which is non-zero and real, and <math> / h(x)=ƒ(ax), then&thinsp; <math>\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)</math>.&nbsp;&nbsp;&nbsp;&nbsp; If ''a''&nbsp;=&nbsp;−1, then the time-reversal property states: if <math> / h(x)=ƒ(−x), then&thinsp; <math>\hat{h}(\xi)=\hat{f}(-\xi)</math>.<br />
|}</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&diff=9888
Table of Fourier Transform Properties
2010-10-26T19:42:19Z
<p>Cdxskier: </p>
<hr />
<div>{| class="wikitable" border="1"<br />
|+ Fourier Transform Properties<br />
! Property (contributor) !! Expanation<br />
|-<br />
| Convolution ([[Ben Henry]]) || If <math>h(x)=\left(f*g\right)(x)</math>, becomes &thinsp; <math> \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).</math><br />
|-<br />
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || For a non-zero [[real number]] ''a'', if ''h''(''x'')&nbsp;=&nbsp;''ƒ''(''ax''), then&thinsp; <math>\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)</math>.&nbsp;&nbsp;&nbsp;&nbsp; The case ''a''&nbsp;=&nbsp;−1 leads to the ''time-reversal'' property, which states: if ''h''(''x'')&nbsp;=&nbsp;''ƒ''(−''x''), then&thinsp; <math>\hat{h}(\xi)=\hat{f}(-\xi)</math>.<br />
|}</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Table_of_Fourier_Transform_Properties&diff=9887
Table of Fourier Transform Properties
2010-10-26T19:42:06Z
<p>Cdxskier: Created page with ' 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=…'</p>
<hr />
<div><br />
Scaling<br />
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 <br />
<br />
{| class="wikitable" border="1"<br />
|+ Fourier Transform Properties<br />
! Property (contributor) !! Expanation<br />
|-<br />
| Convolution ([[Ben Henry]]) || If <math>h(x)=\left(f*g\right)(x)</math>, becomes &thinsp; <math> \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).</math><br />
|-<br />
| Scaling ([[Christopher Garrison Lau I|Chris Lau]]) || For a non-zero [[real number]] ''a'', if ''h''(''x'')&nbsp;=&nbsp;''ƒ''(''ax''), then&thinsp; <math>\hat{h}(\xi)=\frac{1}{|a|}\hat{f}\left(\frac{\xi}{a}\right)</math>.&nbsp;&nbsp;&nbsp;&nbsp; The case ''a''&nbsp;=&nbsp;−1 leads to the ''time-reversal'' property, which states: if ''h''(''x'')&nbsp;=&nbsp;''ƒ''(−''x''), then&thinsp; <math>\hat{h}(\xi)=\hat{f}(-\xi)</math>.<br />
|}</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=9886
Signals and Systems
2010-10-26T19:36:10Z
<p>Cdxskier: /* Fourier Transform Properties */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
===[[Table of Fourier Transform Properties]]===<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5: ([[HW 5|Chris Lau]])<br />
** Part 1 - Find <math> \mathcal{F}[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 Pick a property of the Fourier Transform & present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=9885
Signals and Systems
2010-10-26T19:35:24Z
<p>Cdxskier: /* Articles */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
===[[Fourier Transform Properties]]===<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5: ([[HW 5|Chris Lau]])<br />
** Part 1 - Find <math> \mathcal{F}[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 Pick a property of the Fourier Transform & present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Christopher_Garrison_Lau_I&diff=9884
Christopher Garrison Lau I
2010-10-26T19:33:12Z
<p>Cdxskier: /* Signals and Systems */</p>
<hr />
<div>[[Image:Subaru.jpg]]<br />
===Contact info=== <br />
Mask me<br />
<br />
===Signals and Systems===<br />
[[Installing Octave on Mac]]<br />
<br />
[[HW 3]]<br />
<br />
[[HW 4]]<br />
<br />
[[HW 5]]<br />
<br />
===Linear Network Analysis===<br />
[[Fourier Series: Explained!]]<br />
<br />
===Engineering Electronics===<br />
[[Ideal vs. Nonideal Op Amps]]<br />
<br />
===Electro-Mechanical Energy Conversion===<br />
<br />
[[An Application of Electromechanical Energy Conversion: Hybrid Electric Vehicles]]<br />
<br />
In draft: [[An Ideal Transformer Example]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_5&diff=9883
HW 5
2010-10-26T19:32:55Z
<p>Cdxskier: </p>
<hr />
<div>[[File:HW5.jpg | 900px]]<br />
<br />
<br />
===Author===<br />
<br />
[[Christopher Garrison Lau I]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=9882
Signals and Systems
2010-10-26T19:32:16Z
<p>Cdxskier: /* Homework Assignments */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5: ([[HW 5|Chris Lau]])<br />
** Part 1 - Find <math> \mathcal{F}[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 Pick a property of the Fourier Transform & present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_5&diff=9881
HW 5
2010-10-26T16:22:55Z
<p>Cdxskier: </p>
<hr />
<div>[[File:HW5.jpg | 900px]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_5&diff=9880
HW 5
2010-10-26T16:20:50Z
<p>Cdxskier: Created page with 'Image:HW5.jpg'</p>
<hr />
<div>[[Image:HW5.jpg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=File:HW5.jpg&diff=9879
File:HW5.jpg
2010-10-26T16:19:45Z
<p>Cdxskier: </p>
<hr />
<div></div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=9878
Signals and Systems
2010-10-26T16:12:25Z
<p>Cdxskier: /* Homework Assignments */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5: [[HW 5|Chris Lau]]<br />
** Part 1 - Find <math> \mathcal{F}[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 Pick a property of the Fourier Transform & present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=9877
Signals and Systems
2010-10-25T23:35:49Z
<p>Cdxskier: /* Homework Assignments */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5:<br />
** Part 1 - Find <math> \mathcal{F}[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 Pick a property of the Fourier Transform & present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=9876
Signals and Systems
2010-10-25T23:34:10Z
<p>Cdxskier: /* Homework Assignments */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5:<br />
** Part 1 - Find <math> \ F[e^{- \sigma t} x(t)u(t)] </math> and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.<br />
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]<br />
<br />
* HW #6 Pick a property of the Fourier Transform & present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=File:20101006KeyDSCN3161.jpg&diff=9875
File:20101006KeyDSCN3161.jpg
2010-10-25T23:31:01Z
<p>Cdxskier: </p>
<hr />
<div></div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=9874
Signals and Systems
2010-10-25T23:28:03Z
<p>Cdxskier: </p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills/HW3|Chris Wills]])([[Hw3|Victor Shepherd)]]<br />
<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
* HW #5 - Find <math> \ F[e^{- \sigma t} x(t)u(t)] </math><br />
* HW #6 Pick a property of the Fourier Transform & present it on the Wiki. Make a table with all your properties. Interpret your property. ([[HW 6|Ben Henry]])<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor|Victor Shepherd]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Christopher_Garrison_Lau_I&diff=9846
Christopher Garrison Lau I
2010-10-15T14:42:44Z
<p>Cdxskier: /* Signals and Systems */</p>
<hr />
<div>[[Image:Subaru.jpg]]<br />
===Contact info=== <br />
Mask me<br />
<br />
===Signals and Systems===<br />
[[Installing Octave on Mac]]<br />
<br />
[[HW 3]]<br />
<br />
[[HW 4]]<br />
<br />
===Linear Network Analysis===<br />
[[Fourier Series: Explained!]]<br />
<br />
===Engineering Electronics===<br />
[[Ideal vs. Nonideal Op Amps]]<br />
<br />
===Electro-Mechanical Energy Conversion===<br />
<br />
[[An Application of Electromechanical Energy Conversion: Hybrid Electric Vehicles]]<br />
<br />
In draft: [[An Ideal Transformer Example]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_4&diff=9845
HW 4
2010-10-15T14:42:05Z
<p>Cdxskier: /* Author */</p>
<hr />
<div>[[File:HW4.jpg | 900px]]<br />
<br />
===Author===<br />
<br />
[[Christopher Garrison Lau I]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_4&diff=9844
HW 4
2010-10-15T14:41:35Z
<p>Cdxskier: </p>
<hr />
<div>[[File:HW4.jpg | 900px]]<br />
<br />
===Author===<br />
<br />
[[Lau, Chris|Christopher Garrison Lau I]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_4&diff=9843
HW 4
2010-10-15T14:40:47Z
<p>Cdxskier: </p>
<hr />
<div>[[File:HW4.jpg | 900px]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=HW_4&diff=9842
HW 4
2010-10-15T14:39:47Z
<p>Cdxskier: Created page with ' File:HW4.jpg'</p>
<hr />
<div><br />
<br />
[[File:HW4.jpg]]</div>
Cdxskier
https://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=9841
Signals and Systems
2010-10-15T14:39:17Z
<p>Cdxskier: /* Homework Assignments */</p>
<hr />
<div>== Topics ==<br />
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]<br />
<br />
===Individual Subjects===<br />
*[[Linear Time Invariant System|Linear Time Invariant Systems]]<br />
**[[The Game|"The Game"]]<br />
*[[Orthogonal functions|Orthogonal Functions]]<br />
*[[Energy in a signal|Finding the Energy in a Signal]]<br />
**[[Rayleigh's Theorem]]<br />
*[[Fourier series|Fourier Series]]<br />
*[[Fourier transform|Fourier Transforms]]<br />
**[[Discrete Fourier transform]]<br />
*[[Sampling]]<br />
*[[FIR Filter Example]]<br />
*[[Relationship between e, sin and cos]]<br />
<br />
== Some Useful Links to Suppliment or Substitute for a Textbook ==<br />
===Books on Signal Processing===<br />
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]<br />
===Fourier Series===<br />
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]<br />
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]<br />
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]<br />
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]<br />
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]<br />
<br />
===Dirac Delta Function and Convolution===<br />
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]<br />
<br />
===Course Pages===<br />
[[2005-2006 Assignments]]<br />
<br />
[[2006-2007 Assignments]]<br />
<br />
[[2008-2009 Assignments]]<br />
<br />
[[2009-2010 Assignments]]<br />
<br />
[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
==Articles==<br />
<br />
===Octave Tutorials===<br />
[[Installing Octave on a Mac]] (Chris Lau)<br />
<br />
[[Octave and Scilab on a Mac]] (Ben Henry)<br />
<br />
[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)<br />
<br />
[[A u(t) function example]]<br />
<br />
==Homework Assignments==<br />
Please put your name next to the assignment, linking it to your submission<br />
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])<br />
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])<br />
* HW #3 - Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math> ([[HW 3|Chris Lau]])<br />
* HW #4 - Given a linear time-invariant system where <math>\ u(t) </math> produces an output <math>\ w(t) </math>, find the output due to any function <math>\ x(t) </math> ([[HW 4|Chris Lau]])<br />
<br />
==People Involved with this Wiki==<br />
<br />
<br />
===2010-2011 Contributors===<br />
[[Ben Henry|Henry, Ben]]<br />
<br />
[[Christopher Garrison Lau I]]<br />
<br />
[[user:chris.wills|Chris Wills]]<br />
<br />
[[Jodi S. Hodge]]<br />
<br />
[[Luke Chilson]]<br />
<br />
[[Shepherd,Victor]]<br />
<br />
===2009-2010 Contributors===<br />
[[Nick Christman]]<br />
<br />
[[Joshua Sarris]]<br />
<br />
[[Kevin Starkey]]<br />
<br />
[[Max Woesner]]<br />
<br />
[[Jodi Hodge]]<br />
<br />
[[Corneliu Turturica]]<br />
<br />
===2008-2009 Contributors===<br />
[[User:eric.clay|Eric Clay]]<br />
<br />
[[User:tsung-lin.yang|Chuck Yang]]<br />
<br />
[[User:elton.zebron|Elton Zebron]]<br />
<br />
[[User:Luke.chilson|Luke Chilson]]<br />
<br />
[[User:Brandon.price|Brandon Price]]<br />
<br />
[[User:Fonggr|Greg Fong]]<br />
<br />
===2007-2008 contributors===<br />
<br />
[[User:baldwin.britton|Baldwin Britton]]<br />
<br />
[[User:Harrde|Denver Harris]]<br />
<br />
[[User:Pridma|Mark Priddy]]<br />
<br />
[[User:ChrisRas|Chris Rasmussen]]<br />
<br />
[[User:RothMi|Michael Roth]]<br />
<br />
[[User:Rothsa|Sally Roth]]<br />
<br />
===2006-2007 contributors===<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]<br />
<br />
===2005-2006 contributors===<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
[[User:Frohro|Instructor: Rob Frohne]]<br />
<br />
===2004-2005 contributors===<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]</div>
Cdxskier