Class Wiki - User contributions [en]

Power Electronics

2012-06-05T19:21:22Z

Victor.shepherd:

[[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr460index.htm Class Notes]]

==Links==

[http://www.engr.colostate.edu/ECE562/course_info.html Collins' Course in Power Electronics, (a great resource with a lot of stuff)]
*[http://www.st.com/internet/com/TECHNICAL_RESOURCES/TECHNICAL_LITERATURE/APPLICATION_NOTE/CD00253868.pdf A Grid Tie Inverter Design]
====Conventers====
*SEPIC Converters
**[http://www.edn.com/article/521396-Understand_and_reduce_dc_dc_switching_converter_ground_noise.php?cid=EDNToday_20120410 Reduce Ground Noise in DC to DC Converters]
**[http://www.ti.com/lit/an/snva168d/snva168d.pdf Design Guide for SEPIC Converters]
**[http://www.eetimes.com/design/power-management-design/4370598/Benefits-of-a-coupled-inductor-SEPIC-converter?pageNumber=0&Ecosystem=power-management-design Coupled Inductor Improves Efficiency and Control in SEPIC Converter]
**[http://www.ti.com/lit/an/slyt309/slyt309.pdf Design Guide for Coupled Inductor SEPIC Converter]
**[http://www.wseas.us/e-library/conferences/2006cscc/papers/534-953.pdf Detailed Analysis of SEPIC Converters (Coupled and Uncoupled)]
**[http://www.how2power.com/newsletters/0911/articles/H2PToday_National_Wong&Man111809.pdf Current Mode Control using SEPIC Converter and Linear Current Regulator (80% Efficiency)]
*Cuk Converters
**[http://ace.ucv.ro/sintes11/Volume2/5%20ELECTRONICS/E12%20-%20NICULESCU%20Elena%202.pdf Detailed Analysis of Coupled Inductor Cuk Iverters]

====Transformer Design====
*[http://www.ti.com/lit/ml/slup127/slup127.pdf Better Tips on Transformer Design than the Book]
*[http://www.ti.com/lit/ml/slup197/slup197.pdf Eddy Current Loss in Transformers]

====Reliability====
[http://www.pvmips.org/publications/017.pdf Grid Tie Inverter Reliability] (Electrolytics and IGBTs have poor reliability.)

===Feedback Analysis of Switched Mode Power Supplies===
*[http://eprints.utm.my/1594/1/paper61.pdf Buck DC to DC Converter Design Very Similar to Mohan's Example in Chapter 4]
*[http://www.repositorio.ufma.br:8080/jspui/bitstream/1/212/1/IPEC_2010_State%20Space%20Decoupling%20Approach%20for%20Feedback%20Controller%20Design%20of%20Switching%20Converters.pdf State Space Approach to DC to DC Converter Controller Design, a 2010 paper you can understand!]
*[http://www.venable.biz/tp-03.pdf A Paper on Optimum Controller Design (K Factor Approach Used in Chapter 4)]
*[http://www.wu.ac.at/inst/or/geyer/mfcir/node5.html State Space Approach to Estimate the K Factor]
====LTSpice Tutorials====
*[http://www.simonbramble.co.uk/lt_spice/ltspice_lt_spice.htm Nice Tutorials]

====How to Use LTSpice with the supplied PSpice Models====
*[[http://denethor.wlu.ca/ltspice/#models A page showing how to import models]]
*[[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.)

===Class Project 2011===
*[http://mtjungle.com/pe/ 120 VAC LED Light Project]

===Class Project 2012===
*[Bicycle USB Electronic Charger]

==Additional Resources==
*I thought this might be a helpful resource [http://www.ti.com/lit/an/slva057/slva057.pdf Buck SMPS Converter Page] ~Matthew

==Class Contribution 2012==
*[[Matthew Blaire]]

*[[Christopher Garrison Lau I]]

*[[Trent Fleming]]

*[[Power Electronics:HW #4 Key]]

==KiCAD Tutorials==
*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)
**[http://www.youtube.com/watch?v=rkQ0nVX1q1k Tutorial 1]
**[http://www.youtube.com/watch?v=8HNMihqa844&feature=plcp&context=C46c7c99VDvjVQa1PpcFOo1yAmios_qLe59l30SDJc8OLz1rz8GQs%3D Tutorial 2]

*I enjoyed the Tutorials 1 and 2 that Chris put on the page it is very good at specifying the basics. (Matthew Blaire 4/10/12)
**I also Have found a helpful tutorial on creating components [http://www.youtube.com/watch?v=xOHGv8pQDSg&feature=relmfu Add Component Tutorial]
**All of the relating tutorials to this one are pretty decent as well, but most of the material is covered in the tutorials that Chris posted

*KiCAD step by step tutorial (Posted by Trent Fleming 4/15/12)
**[http://www.kicadlib.org/Fichiers/KiCad_Tutorial.pdf Step by Step tutorial]

*Video on how to install KiCad onto Windows and how to use KiCad (Posted by Trent Fleming 4/17/12)
**[http://www.youtube.com/watch?v=xRXEc7pB0o0 Video]

*A FAQ page on many different parts of of KiCAD. From creating parts to schematic to PCB layout. (Cody Lorenz. Posted millions of years after the class ended. Actually 4/22/2012)
**[http://en.wikibooks.org/wiki/Kicad/FAQ FAQ]

==Homework #11==

===Matthew Blaire===

*I researched the ability to cross platforms and found that the only way to do this is to copy the net list of the schematic. You can do this by opening the files in the viewer and copying the created net list to another spice program.

*While the net list is not perfect and still requires some modifying, for the most part between spice programs the net list is compatible.

*I checked this not only with the programs and a couple hours of online research, but also through my Dad, who is an electrical engineer and has worked extensively with both programs.

Hw15

2010-12-16T20:54:30Z

Victor.shepherd:

==Do Practice Exam II==

[[image:P1010214.JPG ]]

[[image:P1010215.JPG ]]

Hw13

2010-12-16T20:53:39Z

Victor.shepherd:

HW #13 - Derive the following realtions:
**a) <math>DFT(x(k-l))\!</math>
**b) <math> DFT(e^{j2 \pi lk/N}x(k)\!</math>
**c) <math>\sum\limits_{k=0}^{N-1} x(k)y(k)^{*}=c\sum\limits_{k=0}^{N-1} X(n)Y(n)^{*}</math>

[[image:P1010216.JPG ]]

File:P1010216.JPG

2010-12-16T20:53:08Z

Victor.shepherd:

File:P1010215.JPG

2010-12-16T20:52:43Z

Victor.shepherd:

File:P1010214.JPG

2010-12-16T20:51:56Z

Victor.shepherd:

Hw14

2010-12-16T20:50:54Z

Victor.shepherd:

===Come up with a use for an adaptive FIR filter and make an Octave script to demonstrate it===

An adaptive FIR filter has many uses in real life. One of them is for noise cancelling in an airplane or helicopter where there is a lot of noise coming from the rotors or turbines and the pilot and copilot need to communicate with each other. This filter will be used for the headphones they will use. The code used in class is available in the Signals & Systems list.

[[image:P1010213.JPG ]]

File:P1010213.JPG

2010-12-16T20:47:30Z

Victor.shepherd: Block Diagram

Block Diagram

Hw12

2010-12-16T01:58:36Z

Victor.shepherd:

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) =

\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.

Hw12

2010-12-16T01:58:25Z

Victor.shepherd:

===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) =

\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.

Hw12

2010-12-16T01:57:57Z

Victor.shepherd: Created page with '===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) = \displaystyle\sum…'

Hw13

2010-12-16T01:56:58Z

Victor.shepherd:

Hw13

2010-12-16T01:56:23Z

Victor.shepherd: Created page with '===* HW #13 - Derive the following realtions: **a) <math>DFT(x(k-l))\!</math> **b) <math> DFT(e^{j2 \pi lk/N}x(k)\!</math> **c) <math>\sum\limits_{k=0}^{N-1} x(k)y…'

===* HW #13 - Derive the following realtions:
**a) <math>DFT(x(k-l))\!</math>
**b) <math> DFT(e^{j2 \pi lk/N}x(k)\!</math>
**c) <math>\sum\limits_{k=0}^{N-1} x(k)y(k)^{*}=c\sum\limits_{k=0}^{N-1} X(n)Y(n)^{*}</math>===

Hw9

2010-12-16T01:49:47Z

Victor.shepherd:

===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===

A decimating filter is useful when we have too much samples or signals and we need to get rid of some due to the limitations in hardware. We need to get rid of the high frequencies . By inserting zero-valued samples in between the original samples to increase the sampling rate. The number of multiply & adds needed is <math>2m+1</math> for every T seconds.

Hw10

2010-12-16T01:37:47Z

Victor.shepherd:

===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?===

Hw8

2010-12-16T01:37:06Z

Victor.shepherd: /* Make a page about interpolating FIR filters. Take care to note how many multiply/add operations. */

===Make a page about interpolating FIR filters. Take care to note how many multiply/add operations.===

An interpolting filter is when you create "in-between" samples from the original sample resulting as if you had sampled the signal at a higher rate. Interpolation only works with integers.

The are under the rth impulse function of the interpolated signal is

<math> y(t)= \sum_{r=-\infty}^\infty y(r)\delta (t- \left(\frac{\left(rt\right) }{2} \right)) </math>

For every T seconds, the number of add/multiply operations is

<math>(2M+1)(1/2)\!</math>

Hw11

2010-12-16T01:33:59Z

Victor.shepherd:

=== Is our method the same as Mark Fowler's?===

I think our method looks pretty similar to Mark Fowler.

Hw14

2010-12-16T01:32:48Z

Victor.shepherd: /* Come up with a use for an adaptiveFIR filter and make an Octave script to demonstrate it */

Hw14

2010-12-16T01:24:18Z

Victor.shepherd: Created page with '===Come up with a use for an adaptiveFIR filter and make an Octave script to demonstrate it==='

===Come up with a use for an adaptiveFIR filter and make an Octave script to demonstrate it===

Hw15

2010-12-16T01:23:06Z

Victor.shepherd: Created page with '==Do Practice Exam II=='

==Do Practice Exam II==

Signals and Systems

2010-12-16T01:22:26Z

Victor.shepherd: /* Homework Assignments */

== Topics ==
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]

===Individual Subjects===
*[[Linear Time Invariant System|Linear Time Invariant Systems]]
**[[The Game|"The Game"]]
*[[Orthogonal functions|Orthogonal Functions]]
*[[Energy in a signal|Finding the Energy in a Signal]]
**[[Rayleigh's Theorem]]
*[[Fourier series|Fourier Series]]
*[[Fourier transform|Fourier Transforms]]
**[[Discrete Fourier transform]]
*[[Sampling]]
*[[FIR Filter Example]]
*[[Relationship between e, sin and cos]]

== Some Useful Links to Suppliment or Substitute for a Textbook ==
===Books on Signal Processing===
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]
===Fourier Series===
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]

===Dirac Delta Function and Convolution===
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]

===Multi-rate Filtering===

[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]

[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]

===FIR Filters===

[http://www.dspguru.com/dsp/faqs/fir This is a very easy-to-understand summary of FIR basics, properties, design, and implementation]

[http://www.dspguru.com/dsp/faqs/multirate/decimation Another easy-to-understand article about decimation]

[http://www.dspguru.com/dsp/faqs/multirate/interpolation Another easy-to-understand article about interpolation]

===Course Pages===
[[2005-2006 Assignments]]

[[2006-2007 Assignments]]

[[2008-2009 Assignments]]

[[2009-2010 Assignments]]

[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]

==Articles==

===Octave Tutorials===
[[Installing Octave on a Mac]] (Chris Lau)

[[Octave and Scilab on a Mac]] (Ben Henry)

[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)

[[A u(t) function example]]

[[FIR Filter Example Code for Octave]]

[[Leakage Example Octave Script]]

[[Interpolation using the DFT Example Script]]

[[Tuner Upper Removal Demonstration]]

[[Airplane Noise Removal Demonstration]]

===[[Table of Fourier Transform Properties]]===

==Homework Assignments==
Please put your name next to the assignment, linking it to your submission
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])[[Shepherd,Victor|(Victor Shepherd)]]
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])
* 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)]]

* 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]])
* HW #5: ([[HW 5|Chris Lau]])
** 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.
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]

* 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]])
* HW #7 - Finish the practice tests
* 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]])
* 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)]]
* 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)]]
* HW #11 - Is our method the same as Mark Fowler's? See
[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)]]
* 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) =

\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]])
* HW #13 - Derive the following realtions:
**a) <math>DFT(x(k-l))\!</math>
**b) <math> DFT(e^{j2 \pi lk/N}x(k)\!</math>
**c) <math>\sum\limits_{k=0}^{N-1} x(k)y(k)^{*}=c\sum\limits_{k=0}^{N-1} X(n)Y(n)^{*}</math> ([[Hw13|Victor Shepherd)]]

* HW #14 - Come up with a use for an adaptiveFIR filter and make an Octave script to demonstrate it. ([[Jodi S. Hodge]])([[Hw14|Victor Shepherd)]]
* HW #15 - Do Practice Exam II ([[Hw15|Victor Shepherd)]]

==People Involved with this Wiki==

===2010-2011 Contributors===
[[Ben Henry|Ben Henry]]

[[Christopher Garrison Lau I]]

[[user:chris.wills|Chris Wills]]

[[Jodi S. Hodge]]

[[Luke Chilson]]

[[Shepherd,Victor|Victor Shepherd]]

===2009-2010 Contributors===
[[Nick Christman]]

[[Joshua Sarris]]

[[Kevin Starkey]]

[[Max Woesner]]

[[Jodi Hodge]]

[[Corneliu Turturica]]

===2008-2009 Contributors===
[[User:eric.clay|Eric Clay]]

[[User:tsung-lin.yang|Chuck Yang]]

[[User:elton.zebron|Elton Zebron]]

[[User:Luke.chilson|Luke Chilson]]

[[User:Brandon.price|Brandon Price]]

[[User:Fonggr|Greg Fong]]

===2007-2008 contributors===

[[User:baldwin.britton|Baldwin Britton]]

[[User:Harrde|Denver Harris]]

[[User:Pridma|Mark Priddy]]

[[User:ChrisRas|Chris Rasmussen]]

[[User:RothMi|Michael Roth]]

[[User:Rothsa|Sally Roth]]

===2006-2007 contributors===

[[User:Smitry|Ryan J Smith]]

[[User:Nathan|Nathan Ferch]]

[[User:Andrew|Andrew Lopez]]

[[User:Sherna|Nathan Sherman]]

[[User:Adkich|Chris Adkins]]

===2005-2006 contributors===

[[User:GabrielaV|Gabriela Valdivia]]

[[User:SDiver|Raymond Betz]]

[[User:chrijen|Jenni Christensen]]

[[User:wonoje|Jeffrey Wonoprabowo]]

[[User:wilspa|Paul Wilson]]

[[User:Frohro|Instructor: Rob Frohne]]

===2004-2005 contributors===

[[User:Barnsa|Sam Barnes]]

[[User:Santsh|Shawn Santana]]

[[User:Goeari|Aric Goe]]

[[User:Caswto|Todd Caswell]]

[[User:Andeda|David Anderson]]

[[User:Guenan|Anthony Guenterberg]]

Shepherd,Victor

2010-12-16T01:21:18Z

Victor.shepherd: /* ENGR 455 Signals and Systems */

=ENGR 356 Electronics=
*[[Golden Rules]]
*[[Electronics]]
*[[Reading from Chapter 4]]
*[[Reading from Chapter 7]]

=ENGR 455 Signals and Systems=
*[[Octave]]
*[[Hw3]]
*[[Table of Fourier Transform Properties|Hw6]]
*[[Hw8]]
*[[Hw9]]
*[[Hw10]]
*[[Hw11]]
*[[Hw12]]
*[[Hw13]]
*[[Hw14]]
*[[Hw15]]

Signals and Systems

2010-12-16T00:04:18Z

Victor.shepherd: /* Homework Assignments */

== Topics ==
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]

===Individual Subjects===
*[[Linear Time Invariant System|Linear Time Invariant Systems]]
**[[The Game|"The Game"]]
*[[Orthogonal functions|Orthogonal Functions]]
*[[Energy in a signal|Finding the Energy in a Signal]]
**[[Rayleigh's Theorem]]
*[[Fourier series|Fourier Series]]
*[[Fourier transform|Fourier Transforms]]
**[[Discrete Fourier transform]]
*[[Sampling]]
*[[FIR Filter Example]]
*[[Relationship between e, sin and cos]]

== Some Useful Links to Suppliment or Substitute for a Textbook ==
===Books on Signal Processing===
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]
===Fourier Series===
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]

===Dirac Delta Function and Convolution===
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]

===Multi-rate Filtering===

[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]

[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]

===FIR Filters===

[http://www.dspguru.com/dsp/faqs/fir This is a very easy-to-understand summary of FIR basics, properties, design, and implementation]

[http://www.dspguru.com/dsp/faqs/multirate/decimation Another easy-to-understand article about decimation]

[http://www.dspguru.com/dsp/faqs/multirate/interpolation Another easy-to-understand article about interpolation]

===Course Pages===
[[2005-2006 Assignments]]

[[2006-2007 Assignments]]

[[2008-2009 Assignments]]

[[2009-2010 Assignments]]

[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]

==Articles==

===Octave Tutorials===
[[Installing Octave on a Mac]] (Chris Lau)

[[Octave and Scilab on a Mac]] (Ben Henry)

[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)

[[A u(t) function example]]

[[FIR Filter Example Code for Octave]]

[[Leakage Example Octave Script]]

[[Interpolation using the DFT Example Script]]

[[Tuner Upper Removal Demonstration]]

[[Airplane Noise Removal Demonstration]]

===[[Table of Fourier Transform Properties]]===

==Homework Assignments==
Please put your name next to the assignment, linking it to your submission
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])[[Shepherd,Victor|(Victor Shepherd)]]
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])
* 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)]]

* 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]])
* HW #5: ([[HW 5|Chris Lau]])
** 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.
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]

* 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]])
* HW #7 - Finish the practice tests
* 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]])
* 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)]]
* 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)]]
* HW #11 - Is our method the same as Mark Fowler's? See
[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)]]
* 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) =

\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]])
* HW #13 - Derive the following realtions:
**a) <math>DFT(x(k-l))\!</math>
**b) <math> DFT(e^{j2 \pi lk/N}x(k)\!</math>
**c) <math>\sum\limits_{k=0}^{N-1} x(k)y(k)^{*}=c\sum\limits_{k=0}^{N-1} X(n)Y(n)^{*}</math>

* HW #14 - Come up with a use for an adaptiveFIR filter and make an Octave script to demonstrate it. ([[Jodi S. Hodge]])
* HW #15 - Do Practice Exam II

==People Involved with this Wiki==

===2010-2011 Contributors===
[[Ben Henry|Ben Henry]]

[[Christopher Garrison Lau I]]

[[user:chris.wills|Chris Wills]]

[[Jodi S. Hodge]]

[[Luke Chilson]]

[[Shepherd,Victor|Victor Shepherd]]

===2009-2010 Contributors===
[[Nick Christman]]

[[Joshua Sarris]]

[[Kevin Starkey]]

[[Max Woesner]]

[[Jodi Hodge]]

[[Corneliu Turturica]]

===2008-2009 Contributors===
[[User:eric.clay|Eric Clay]]

[[User:tsung-lin.yang|Chuck Yang]]

[[User:elton.zebron|Elton Zebron]]

[[User:Luke.chilson|Luke Chilson]]

[[User:Brandon.price|Brandon Price]]

[[User:Fonggr|Greg Fong]]

===2007-2008 contributors===

[[User:baldwin.britton|Baldwin Britton]]

[[User:Harrde|Denver Harris]]

[[User:Pridma|Mark Priddy]]

[[User:ChrisRas|Chris Rasmussen]]

[[User:RothMi|Michael Roth]]

[[User:Rothsa|Sally Roth]]

===2006-2007 contributors===

[[User:Smitry|Ryan J Smith]]

[[User:Nathan|Nathan Ferch]]

[[User:Andrew|Andrew Lopez]]

[[User:Sherna|Nathan Sherman]]

[[User:Adkich|Chris Adkins]]

===2005-2006 contributors===

[[User:GabrielaV|Gabriela Valdivia]]

[[User:SDiver|Raymond Betz]]

[[User:chrijen|Jenni Christensen]]

[[User:wonoje|Jeffrey Wonoprabowo]]

[[User:wilspa|Paul Wilson]]

[[User:Frohro|Instructor: Rob Frohne]]

===2004-2005 contributors===

[[User:Barnsa|Sam Barnes]]

[[User:Santsh|Shawn Santana]]

[[User:Goeari|Aric Goe]]

[[User:Caswto|Todd Caswell]]

[[User:Andeda|David Anderson]]

[[User:Guenan|Anthony Guenterberg]]

Hw8

2010-12-02T06:09:10Z

Victor.shepherd:

===Make a page about interpolating FIR filters. Take care to note how many multiply/add operations.===

The are under the rth impulse function of the interpolated signal is

<math> y(t)= \sum_{r=-\infty}^\infty y(r)\delta (t- \left(\frac{\left(rt\right) }{2} \right)) </math>

For every T seconds, the number of add/multiply operations is

<math>(2M+1)(1/2)\!</math>

Hw8

2010-12-02T06:06:27Z

Victor.shepherd:

=Make a page about interpolating FIR filters. Take care to note how many multiply/add operations.

Using the class notes on November 1

The are under the rth impulse function of the interpolated signal is

<math> y(t)= \sum_{r=-\infty}^\infty y(r)\delta (t- \left(\frac{\left(rt\right) }{2} \right)) </math>

For every T seconds, the number of add/multiply operations is

<math>(2M+1)(1/2)\!</math>

Hw8

2010-12-02T05:54:12Z

Victor.shepherd:

<math> \sum_{m=-M}^m a_{m}x[(r-m)T/2]=y(r) </math>

The number of add/multiply operations is half the limits of the sumation above. Half results from only needing to perform calculations on half the data.

<math>(2M+1)(1/2)\!</math>

Substitute

<math>r/2=n =m/2\!</math>

in y(r) to get the result of the interpolating filter

<math> y(t)= \sum_{r=-\infty}^\infty y(r)\delta (t-rT/2) </math>

Shepherd,Victor

2010-12-02T05:51:27Z

Victor.shepherd: /* ENGR 455 Signals and Systems */

Signals and Systems

2010-12-02T05:49:11Z

Victor.shepherd: /* Homework Assignments */

== Topics ==
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]

===Individual Subjects===
*[[Linear Time Invariant System|Linear Time Invariant Systems]]
**[[The Game|"The Game"]]
*[[Orthogonal functions|Orthogonal Functions]]
*[[Energy in a signal|Finding the Energy in a Signal]]
**[[Rayleigh's Theorem]]
*[[Fourier series|Fourier Series]]
*[[Fourier transform|Fourier Transforms]]
**[[Discrete Fourier transform]]
*[[Sampling]]
*[[FIR Filter Example]]
*[[Relationship between e, sin and cos]]

== Some Useful Links to Suppliment or Substitute for a Textbook ==
===Books on Signal Processing===
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]
===Fourier Series===
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]

===Dirac Delta Function and Convolution===
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]

===Multi-rate Filtering===

[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]

[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]

===FIR Filters===

[http://www.dspguru.com/dsp/faqs/fir This is a very easy-to-understand summary of FIR basics, properties, design, and implementation]

[http://www.dspguru.com/dsp/faqs/multirate/decimation Another easy-to-understand article about decimation]

[http://www.dspguru.com/dsp/faqs/multirate/interpolation Another easy-to-understand article about interpolation]

===Course Pages===
[[2005-2006 Assignments]]

[[2006-2007 Assignments]]

[[2008-2009 Assignments]]

[[2009-2010 Assignments]]

[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]

==Articles==

===Octave Tutorials===
[[Installing Octave on a Mac]] (Chris Lau)

[[Octave and Scilab on a Mac]] (Ben Henry)

[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)

[[A u(t) function example]]

[[FIR Filter Example Code for Octave]]

[[Leakage Example Octave Script]]

[[Interpolation using the DFT Example Script]]

[[Tuner Upper Removal Demonstration]]

[[Airplane Noise Removal Demonstration]]

===[[Table of Fourier Transform Properties]]===

==Homework Assignments==
Please put your name next to the assignment, linking it to your submission
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])
* 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)]]

* 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]])
* HW #5: ([[HW 5|Chris Lau]])
** 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.
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]

* 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]])
* HW #7 - Finish the practice tests
* 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]])
* 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)]]
* 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)]]
* HW #11 - Is our method the same as Mark Flower's? See
[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)]]
* 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) =

\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]])
* HW #13 - Derive the following realtions:
**a) <math>DFT(x(k-l))\!</math>
**b) <math> DFT(e^{j2 \pi lk/N}x(k)\!</math>
**c) <math>\sum\limits_{k=0}^{N-1} x(k)y(k)^{*}=c\sum\limits_{k=0}^{N-1} X(n)Y(n)^{*}</math>

* HW #14 - Come up with a use for an adaptiveFIR filter and make an Octave script to demonstrate it. ([[Jodi S. Hodge]])
* HW #15 - Do Practice Exam II

==People Involved with this Wiki==

===2010-2011 Contributors===
[[Ben Henry|Ben Henry]]

[[Christopher Garrison Lau I]]

[[user:chris.wills|Chris Wills]]

[[Jodi S. Hodge]]

[[Luke Chilson]]

[[Shepherd,Victor|Victor Shepherd]]

===2009-2010 Contributors===
[[Nick Christman]]

[[Joshua Sarris]]

[[Kevin Starkey]]

[[Max Woesner]]

[[Jodi Hodge]]

[[Corneliu Turturica]]

===2008-2009 Contributors===
[[User:eric.clay|Eric Clay]]

[[User:tsung-lin.yang|Chuck Yang]]

[[User:elton.zebron|Elton Zebron]]

[[User:Luke.chilson|Luke Chilson]]

[[User:Brandon.price|Brandon Price]]

[[User:Fonggr|Greg Fong]]

===2007-2008 contributors===

[[User:baldwin.britton|Baldwin Britton]]

[[User:Harrde|Denver Harris]]

[[User:Pridma|Mark Priddy]]

[[User:ChrisRas|Chris Rasmussen]]

[[User:RothMi|Michael Roth]]

[[User:Rothsa|Sally Roth]]

===2006-2007 contributors===

[[User:Smitry|Ryan J Smith]]

[[User:Nathan|Nathan Ferch]]

[[User:Andrew|Andrew Lopez]]

[[User:Sherna|Nathan Sherman]]

[[User:Adkich|Chris Adkins]]

===2005-2006 contributors===

[[User:GabrielaV|Gabriela Valdivia]]

[[User:SDiver|Raymond Betz]]

[[User:chrijen|Jenni Christensen]]

[[User:wonoje|Jeffrey Wonoprabowo]]

[[User:wilspa|Paul Wilson]]

[[User:Frohro|Instructor: Rob Frohne]]

===2004-2005 contributors===

[[User:Barnsa|Sam Barnes]]

[[User:Santsh|Shawn Santana]]

[[User:Goeari|Aric Goe]]

[[User:Caswto|Todd Caswell]]

[[User:Andeda|David Anderson]]

[[User:Guenan|Anthony Guenterberg]]

Signals and Systems

2010-12-02T05:48:34Z

Victor.shepherd: /* Homework Assignments */

== Topics ==
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]

===Individual Subjects===
*[[Linear Time Invariant System|Linear Time Invariant Systems]]
**[[The Game|"The Game"]]
*[[Orthogonal functions|Orthogonal Functions]]
*[[Energy in a signal|Finding the Energy in a Signal]]
**[[Rayleigh's Theorem]]
*[[Fourier series|Fourier Series]]
*[[Fourier transform|Fourier Transforms]]
**[[Discrete Fourier transform]]
*[[Sampling]]
*[[FIR Filter Example]]
*[[Relationship between e, sin and cos]]

== Some Useful Links to Suppliment or Substitute for a Textbook ==
===Books on Signal Processing===
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]
===Fourier Series===
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]

===Dirac Delta Function and Convolution===
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]

===Multi-rate Filtering===

[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]

[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]

===FIR Filters===

[http://www.dspguru.com/dsp/faqs/fir This is a very easy-to-understand summary of FIR basics, properties, design, and implementation]

[http://www.dspguru.com/dsp/faqs/multirate/decimation Another easy-to-understand article about decimation]

[http://www.dspguru.com/dsp/faqs/multirate/interpolation Another easy-to-understand article about interpolation]

===Course Pages===
[[2005-2006 Assignments]]

[[2006-2007 Assignments]]

[[2008-2009 Assignments]]

[[2009-2010 Assignments]]

[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]

==Articles==

===Octave Tutorials===
[[Installing Octave on a Mac]] (Chris Lau)

[[Octave and Scilab on a Mac]] (Ben Henry)

[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)

[[A u(t) function example]]

[[FIR Filter Example Code for Octave]]

[[Leakage Example Octave Script]]

[[Interpolation using the DFT Example Script]]

[[Tuner Upper Removal Demonstration]]

[[Airplane Noise Removal Demonstration]]

===[[Table of Fourier Transform Properties]]===

==Homework Assignments==
Please put your name next to the assignment, linking it to your submission
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])
* 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)]]

* 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]])
* HW #5: ([[HW 5|Chris Lau]])
** 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.
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]

* 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]])([[Hw6|Victor Shepherd)]]([[Table of Fourier Transform Properties|Victor Shepherd]])
* HW #7 - Finish the practice tests
* 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]])
* 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)]]
* 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)]]
* HW #11 - Is our method the same as Mark Flower's? See
[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)]]
* 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) =

\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]])
* HW #13 - Derive the following realtions:
**a) <math>DFT(x(k-l))\!</math>
**b) <math> DFT(e^{j2 \pi lk/N}x(k)\!</math>
**c) <math>\sum\limits_{k=0}^{N-1} x(k)y(k)^{*}=c\sum\limits_{k=0}^{N-1} X(n)Y(n)^{*}</math>

* HW #14 - Come up with a use for an adaptiveFIR filter and make an Octave script to demonstrate it. ([[Jodi S. Hodge]])
* HW #15 - Do Practice Exam II

==People Involved with this Wiki==

===2010-2011 Contributors===
[[Ben Henry|Ben Henry]]

[[Christopher Garrison Lau I]]

[[user:chris.wills|Chris Wills]]

[[Jodi S. Hodge]]

[[Luke Chilson]]

[[Shepherd,Victor|Victor Shepherd]]

===2009-2010 Contributors===
[[Nick Christman]]

[[Joshua Sarris]]

[[Kevin Starkey]]

[[Max Woesner]]

[[Jodi Hodge]]

[[Corneliu Turturica]]

===2008-2009 Contributors===
[[User:eric.clay|Eric Clay]]

[[User:tsung-lin.yang|Chuck Yang]]

[[User:elton.zebron|Elton Zebron]]

[[User:Luke.chilson|Luke Chilson]]

[[User:Brandon.price|Brandon Price]]

[[User:Fonggr|Greg Fong]]

===2007-2008 contributors===

[[User:baldwin.britton|Baldwin Britton]]

[[User:Harrde|Denver Harris]]

[[User:Pridma|Mark Priddy]]

[[User:ChrisRas|Chris Rasmussen]]

[[User:RothMi|Michael Roth]]

[[User:Rothsa|Sally Roth]]

===2006-2007 contributors===

[[User:Smitry|Ryan J Smith]]

[[User:Nathan|Nathan Ferch]]

[[User:Andrew|Andrew Lopez]]

[[User:Sherna|Nathan Sherman]]

[[User:Adkich|Chris Adkins]]

===2005-2006 contributors===

[[User:GabrielaV|Gabriela Valdivia]]

[[User:SDiver|Raymond Betz]]

[[User:chrijen|Jenni Christensen]]

[[User:wonoje|Jeffrey Wonoprabowo]]

[[User:wilspa|Paul Wilson]]

[[User:Frohro|Instructor: Rob Frohne]]

===2004-2005 contributors===

[[User:Barnsa|Sam Barnes]]

[[User:Santsh|Shawn Santana]]

[[User:Goeari|Aric Goe]]

[[User:Caswto|Todd Caswell]]

[[User:Andeda|David Anderson]]

[[User:Guenan|Anthony Guenterberg]]

Table of Fourier Transform Properties

2010-12-02T05:45:56Z

Victor.shepherd:

{| class="wikitable" border="1"
|+ Fourier Transform Properties
! Property (contributor) !! Expanation
|-
| Convolution ([[Ben Henry]]) || If <math>h(x)=\left(f*g\right)(x)</math>, becomes   <math> \hat{h}(\xi)=\hat{f}(\xi)\cdot \hat{g}(\xi).</math>
|-
| 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>.
|-
| Linearity ([[Shepherd,Victor|Victor Shepherd]]) || <math>\mathcal{F}\{ax(t) + by(t)\} = a{F}\{x(t)\} + b{F}\{y(t)\}</math>
|}

Signals and Systems

2010-11-18T07:54:07Z

Victor.shepherd: /* Homework Assignments */

== Topics ==
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]

===Individual Subjects===
*[[Linear Time Invariant System|Linear Time Invariant Systems]]
**[[The Game|"The Game"]]
*[[Orthogonal functions|Orthogonal Functions]]
*[[Energy in a signal|Finding the Energy in a Signal]]
**[[Rayleigh's Theorem]]
*[[Fourier series|Fourier Series]]
*[[Fourier transform|Fourier Transforms]]
**[[Discrete Fourier transform]]
*[[Sampling]]
*[[FIR Filter Example]]
*[[Relationship between e, sin and cos]]

== Some Useful Links to Suppliment or Substitute for a Textbook ==
===Books on Signal Processing===
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]
===Fourier Series===
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]

===Dirac Delta Function and Convolution===
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]

===Multi-rate Filtering===

[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]

[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]

===FIR Filters===

[http://www.dspguru.com/dsp/faqs/fir This is a very easy-to-understand summary of FIR basics, properties, design, and implementation]

[http://www.dspguru.com/dsp/faqs/multirate/decimation Another easy-to-understand article about decimation]

[http://www.dspguru.com/dsp/faqs/multirate/interpolation Another easy-to-understand article about interpolation]

===Course Pages===
[[2005-2006 Assignments]]

[[2006-2007 Assignments]]

[[2008-2009 Assignments]]

[[2009-2010 Assignments]]

[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]

==Articles==

===Octave Tutorials===
[[Installing Octave on a Mac]] (Chris Lau)

[[Octave and Scilab on a Mac]] (Ben Henry)

[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)

[[A u(t) function example]]

[[FIR Filter Example Code for Octave]]

[[Leakage Example Octave Script]]

[[Interpolation using the DFT Example Script]]

===[[Table of Fourier Transform Properties]]===

==Homework Assignments==
Please put your name next to the assignment, linking it to your submission
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])
* 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)]]

* 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]])
* HW #5: ([[HW 5|Chris Lau]])
** 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.
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]

* 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]])([[Hw6|Victor Shepherd)]]
* HW #7 - Finish the practice tests
* 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]])
* 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)]]
* 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)]]
* HW #11 - Is our method the same as Mark Flower's? See
[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)]]
* 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) =

\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.

==People Involved with this Wiki==

===2010-2011 Contributors===
[[Ben Henry|Ben Henry]]

[[Christopher Garrison Lau I]]

[[user:chris.wills|Chris Wills]]

[[Jodi S. Hodge]]

[[Luke Chilson]]

[[Shepherd,Victor|Victor Shepherd]]

===2009-2010 Contributors===
[[Nick Christman]]

[[Joshua Sarris]]

[[Kevin Starkey]]

[[Max Woesner]]

[[Jodi Hodge]]

[[Corneliu Turturica]]

===2008-2009 Contributors===
[[User:eric.clay|Eric Clay]]

[[User:tsung-lin.yang|Chuck Yang]]

[[User:elton.zebron|Elton Zebron]]

[[User:Luke.chilson|Luke Chilson]]

[[User:Brandon.price|Brandon Price]]

[[User:Fonggr|Greg Fong]]

===2007-2008 contributors===

[[User:baldwin.britton|Baldwin Britton]]

[[User:Harrde|Denver Harris]]

[[User:Pridma|Mark Priddy]]

[[User:ChrisRas|Chris Rasmussen]]

[[User:RothMi|Michael Roth]]

[[User:Rothsa|Sally Roth]]

===2006-2007 contributors===

[[User:Smitry|Ryan J Smith]]

[[User:Nathan|Nathan Ferch]]

[[User:Andrew|Andrew Lopez]]

[[User:Sherna|Nathan Sherman]]

[[User:Adkich|Chris Adkins]]

===2005-2006 contributors===

[[User:GabrielaV|Gabriela Valdivia]]

[[User:SDiver|Raymond Betz]]

[[User:chrijen|Jenni Christensen]]

[[User:wonoje|Jeffrey Wonoprabowo]]

[[User:wilspa|Paul Wilson]]

[[User:Frohro|Instructor: Rob Frohne]]

===2004-2005 contributors===

[[User:Barnsa|Sam Barnes]]

[[User:Santsh|Shawn Santana]]

[[User:Goeari|Aric Goe]]

[[User:Caswto|Todd Caswell]]

[[User:Andeda|David Anderson]]

[[User:Guenan|Anthony Guenterberg]]

Shepherd,Victor

2010-11-18T07:52:02Z

Victor.shepherd: /* ENGR 455 Signals and Systems */

=ENGR 356 Electronics=
*[[Golden Rules]]
*[[Electronics]]
*[[Reading from Chapter 4]]
*[[Reading from Chapter 7]]

=ENGR 455 Signals and Systems=
*[[Octave]]
*[[Hw3]]
*[[Hw6]]
*[[Hw8]]
*[[Hw9]]
*[[Hw10]]
*[[Hw11]]
*[[Hw12]]
*[[Hw13]]

Hw11

2010-11-18T07:51:45Z

Victor.shepherd: Created page with '11'

Hw10

2010-11-18T07:51:37Z

Victor.shepherd: Created page with '10'

Hw9

2010-11-18T07:51:29Z

Victor.shepherd: Created page with '9'

Hw8

2010-11-18T07:51:19Z

Victor.shepherd: Created page with '8'

Hw6

2010-11-18T07:51:06Z

Victor.shepherd: Created page with '6'

Signals and Systems

2010-11-18T07:50:46Z

Victor.shepherd: /* Homework Assignments */

== Topics ==
[[Fourier series - by Ray Betz|Overview of Signals and Systems]]

===Individual Subjects===
*[[Linear Time Invariant System|Linear Time Invariant Systems]]
**[[The Game|"The Game"]]
*[[Orthogonal functions|Orthogonal Functions]]
*[[Energy in a signal|Finding the Energy in a Signal]]
**[[Rayleigh's Theorem]]
*[[Fourier series|Fourier Series]]
*[[Fourier transform|Fourier Transforms]]
**[[Discrete Fourier transform]]
*[[Sampling]]
*[[FIR Filter Example]]
*[[Relationship between e, sin and cos]]

== Some Useful Links to Suppliment or Substitute for a Textbook ==
===Books on Signal Processing===
*[https://ccrma.stanford.edu/~jos/sasp/sasp.html Spectral Audio Signal Processing, by Julius O. Smith III]
===Fourier Series===
*[http://www.intmath.com/Fourier-series/Fourier-intro.php Interactive Mathematics (like a textbook with some examples)]
*[http://mathworld.wolfram.com/FourierSeries.html Mathworld]
*[http://en.wikipedia.org/wiki/Fourier_series Wikipedia]
*[http://web.mit.edu/2.14/www/Handouts/FreqDom.pdf MIT handout on Fourier Series, Fourier Transform, and Laplace Transform]
*[http://www.maths.mq.edu.au/~bon/Fourier%20Theory.pdf Fourier Theory B..M..N.. Clarke]

===Dirac Delta Function and Convolution===
*[http://web.mit.edu/2.14/www/Handouts/Convolution.pdf MIT handout on Dirac Delta Function and Convolution]

===Multi-rate Filtering===

[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]

[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]

===FIR Filters===

[http://www.dspguru.com/dsp/faqs/fir This is a very easy-to-understand summary of FIR basics, properties, design, and implementation]

[http://www.dspguru.com/dsp/faqs/multirate/decimation Another easy-to-understand article about decimation]

[http://www.dspguru.com/dsp/faqs/multirate/interpolation Another easy-to-understand article about interpolation]

===Course Pages===
[[2005-2006 Assignments]]

[[2006-2007 Assignments]]

[[2008-2009 Assignments]]

[[2009-2010 Assignments]]

[http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm Class notes for Signals & Systems]

==Articles==

===Octave Tutorials===
[[Installing Octave on a Mac]] (Chris Lau)

[[Octave and Scilab on a Mac]] (Ben Henry)

[[ASN2 - Octave Tutorial]] (Jodi S. Hodge)

[[A u(t) function example]]

[[FIR Filter Example Code for Octave]]

[[Leakage Example Octave Script]]

[[Interpolation using the DFT Example Script]]

===[[Table of Fourier Transform Properties]]===

==Homework Assignments==
Please put your name next to the assignment, linking it to your submission
* HW #1 - Make a personal page on this wiki ([[Christopher Garrison Lau I|Chris Lau]])([[Jodi S. Hodge]])([[user:chris.wills|Chris Wills]])
* HW #2 - Write a tutorial about installing and/or using Octave ([[Installing Octave on a Mac|Chris Lau]])([[Jodi S. Hodge]])([[Octave|Victor Shepherd]])
* 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)]]

* 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]])
* HW #5: ([[HW 5|Chris Lau]])
** 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.
** Part 2 - [[Image:20101006KeyDSCN3161.jpg|thumb|300px|center]]

* 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]])
* HW #7 - Finish the practice tests
* 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]])
* 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]])
* 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]])
* HW #11 - Is our method the same as Mark Flower's? See
[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]])
* 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) =

\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.

==People Involved with this Wiki==

===2010-2011 Contributors===
[[Ben Henry|Ben Henry]]

[[Christopher Garrison Lau I]]

[[user:chris.wills|Chris Wills]]

[[Jodi S. Hodge]]

[[Luke Chilson]]

[[Shepherd,Victor|Victor Shepherd]]

===2009-2010 Contributors===
[[Nick Christman]]

[[Joshua Sarris]]

[[Kevin Starkey]]

[[Max Woesner]]

[[Jodi Hodge]]

[[Corneliu Turturica]]

===2008-2009 Contributors===
[[User:eric.clay|Eric Clay]]

[[User:tsung-lin.yang|Chuck Yang]]

[[User:elton.zebron|Elton Zebron]]

[[User:Luke.chilson|Luke Chilson]]

[[User:Brandon.price|Brandon Price]]

[[User:Fonggr|Greg Fong]]

===2007-2008 contributors===

[[User:baldwin.britton|Baldwin Britton]]

[[User:Harrde|Denver Harris]]

[[User:Pridma|Mark Priddy]]

[[User:ChrisRas|Chris Rasmussen]]

[[User:RothMi|Michael Roth]]

[[User:Rothsa|Sally Roth]]

===2006-2007 contributors===

[[User:Smitry|Ryan J Smith]]

[[User:Nathan|Nathan Ferch]]

[[User:Andrew|Andrew Lopez]]

[[User:Sherna|Nathan Sherman]]

[[User:Adkich|Chris Adkins]]

===2005-2006 contributors===

[[User:GabrielaV|Gabriela Valdivia]]

[[User:SDiver|Raymond Betz]]

[[User:chrijen|Jenni Christensen]]

[[User:wonoje|Jeffrey Wonoprabowo]]

[[User:wilspa|Paul Wilson]]

[[User:Frohro|Instructor: Rob Frohne]]

===2004-2005 contributors===

[[User:Barnsa|Sam Barnes]]

[[User:Santsh|Shawn Santana]]

[[User:Goeari|Aric Goe]]

[[User:Caswto|Todd Caswell]]

[[User:Andeda|David Anderson]]

[[User:Guenan|Anthony Guenterberg]]

Shepherd,Victor

2010-11-18T07:48:52Z

Victor.shepherd: /* ENGR 455 Signals and Systems */

=ENGR 356 Electronics=
*[[Golden Rules]]
*[[Electronics]]
*[[Reading from Chapter 4]]
*[[Reading from Chapter 7]]

=ENGR 455 Signals and Systems=
*[[Octave]]
*[[Hw3]]
*[[Hw6]]
*[[Hw7]]
*[[Hw8]]
*[[Hw9]]
*[[Hw10]]
*[[Hw11]]
*[[Hw12]]
*[[Hw13]]

Signals and Systems

2010-10-16T00:50:32Z

Victor.shepherd: /* 2010-2011 Contributors */

Signals and Systems

2010-10-16T00:49:35Z

Victor.shepherd: /* Homework Assignments */

Signals and Systems

2010-10-16T00:48:09Z

Victor.shepherd: /* Homework Assignments */

Signals and Systems

2010-10-16T00:47:43Z

Victor.shepherd: /* Homework Assignments */

Hw3

2010-10-16T00:43:31Z

Victor.shepherd:

Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math>

You can either type this code straight into octave or matlab, or you can save it as a [name_of_file].m and loading it to the software.

octave:1> t= -5:.01:5;
octave:2> f=t;
octave:3> [ff,tt]=meshgrid(f,t);
octave:4> r=exp(j*2*pi.*ff.*tt);
octave:5> delta=trapz(r)*.01;
octave:6> one1=.01*trapz(delta);
octave:7> plot(t,delta);

This is what the graph looks like.

[[image:Gnuplot.png]]

Hw3

2010-10-16T00:43:04Z

Victor.shepherd:

Show graphically that <math> \int_{-\infty}^{\infty} e^{j2\pi f(t-u)}\, df = \delta (t-u)</math>

You can either type this code straight into octave or matlab, or you can save it as a [name_of_file].m and loading it to the software.

octave:1> t= -5:.01:5;
octave:2> f=t;
octave:3> [ff,tt]=meshgrid(f,t);
octave:4> r=exp(j*2*pi.*ff.*tt);
octave:5> delta=trapz(r)*.01;
octave:6> one1=.001*trapz(delta);
octave:7> plot(t,delta);

This is what the graph looks like.

[[image:Gnuplot.png]]

File:Gnuplot.png

2010-10-16T00:38:14Z

Victor.shepherd:

Hw3

2010-10-16T00:37:28Z

Victor.shepherd: Created page with 'Show graphically int You can either type this code straight into octave or matlab, or you can save it as a [name_of_file].m and loading it to the software. octave:1> t= -5:.01…'

Show graphically int

You can either type this code straight into octave or matlab, or you can save it as a [name_of_file].m and loading it to the software.

octave:1> t= -5:.01:5;
octave:2> f=t;
octave:3> [ff,tt]=meshgrid(f,t);
octave:4> r=exp(j*2*pi.*ff.*tt);
octave:5> delta=trapz(r)*.01;
octave:6> one1=.001*trapz(delta);
octave:7> plot(t,delta);

Shepherd,Victor

2010-10-16T00:32:58Z

Victor.shepherd: /* ENGR 355 Signals and Systems */

=ENGR 356 Electronics=
*[[Golden Rules]]
*[[Electronics]]
*[[Reading from Chapter 4]]
*[[Reading from Chapter 7]]

=ENGR 455 Signals and Systems=
*[[Octave]]
*[[Hw3]]

Octave

2010-10-01T05:25:09Z

Victor.shepherd:

Octave is an powerful open source tool used as an alternative to Matlab since it is free and customizable. This tool is used for numerical computations, manupulations of graphs, matrices and some other features.

Octave comes in two forms, a command line engine and a GUI frontend. In order to install Octave in Ubuntu run the following command:

sudo apt-get install octave octave-gtk

To run it, go to the terminal and type

octave

Alternatively, go to Applications and under education there should be an icon that says octave-gtk

Octave

2010-10-01T05:20:07Z

Victor.shepherd: