Signals and Systems

Topics

Overview of Signals and Systems

Individual Subjects

• Linear Time Invariant Systems
  • "The Game"
• Orthogonal Functions
• Finding the Energy in a Signal
  • Rayleigh's Theorem
• Fourier Series
• 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

• Spectral Audio Signal Processing, by Julius O. Smith III

Fourier Series

• Interactive Mathematics (like a textbook with some examples)
• Mathworld
• Wikipedia
• MIT handout on Fourier Series, Fourier Transform, and Laplace Transform
• Fourier Theory B..M..N.. Clarke

Dirac Delta Function and Convolution

• MIT handout on Dirac Delta Function and Convolution

Multi-rate Filtering

Multirate Filters Introduction

Slides from a Presentation on Polyphase Decimation and Interpolation by Mark Fowler

Course Pages

2005-2006 Assignments

2006-2007 Assignments

2008-2009 Assignments

2009-2010 Assignments

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

Homework Assignments

Please put your name next to the assignment, linking it to your submission

• HW #1 - Make a personal page on this wiki (Chris Lau)(Jodi S. Hodge)(Chris Wills)
• HW #2 - Write a tutorial about installing and/or using Octave (Chris Lau)(Jodi S. Hodge)(Victor Shepherd)
• HW #3 - Show graphically that $\underset{-\mathrm{\infty }}{\overset{\mathrm{\infty }}{\int }}{e}^{j2\pi f(t-u)}df=\delta (t-u)$ (Chris Lau)(Jodi S. Hodge)(Chris Wills)(Victor Shepherd)

• HW #4 - Given a linear time-invariant system where $u(t)$ produces an output $w(t)$, find the output due to any function $x(t)$ (Chris Lau)
• HW #5: (Chris Lau)
  • Part 1 - Find ${ℱ}[e^{-\sigma t}x(t)u(t)]$ and relate it to the Laplace Transform. Derive the Inverse Laplace Transform of this from the inverse Fourier Transform.
  • Part 2 -

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• HW #6 - Pick a property of the Fourier Transform & present it on the Wiki. Make a table with all your properties. Interpret your property. (Ben Henry)(Chris Lau)
• HW #7 - Finish the practice tests
• HW #8 - Make a page about interpolating FIR filters. Note how many multiply/add operations.
• 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)
• HW #10 -
• HW #11 -

People Involved with this Wiki

2010-2011 Contributors

Henry, Ben

Christopher Garrison Lau I

Chris Wills

Jodi S. Hodge

Luke Chilson

Victor Shepherd

2009-2010 Contributors

Nick Christman

Joshua Sarris

Kevin Starkey

Max Woesner

Jodi Hodge

Corneliu Turturica

2008-2009 Contributors

Eric Clay

Chuck Yang

Elton Zebron

Luke Chilson

Brandon Price

Greg Fong

2007-2008 contributors

Baldwin Britton

Denver Harris

Mark Priddy

Chris Rasmussen

Michael Roth

Sally Roth

2006-2007 contributors

Ryan J Smith

Nathan Ferch

Andrew Lopez

Nathan Sherman

Chris Adkins

2005-2006 contributors

Gabriela Valdivia

Raymond Betz

Jenni Christensen

Jeffrey Wonoprabowo

Paul Wilson

Instructor: Rob Frohne

2004-2005 contributors

Sam Barnes

Shawn Santana

Aric Goe

Todd Caswell

David Anderson

Anthony Guenterberg