ECE 438: Digital Signal Processing with Applications

Professor Boutin, Fall 2011

Course Information

• Instructor: Prof. Mimi
  • Office: MSEE 342
  • Office hours are listed here.
• Teaching Assistant: Rui Zhao
  • Email: zhao148@purdue.edu
  • Office: MSEE 190
  • Office Hours: M 10:30am-11:30am, W 10:00am-11:00am, R 1:30pm-2:30pm
• Teaching Assistant: Trey Shenk
  • Email: trey.shenk at gmail dot com
  • Office: MSEE 190
  • Office Hours: F 11:40am - 1:30pm
• Schedule
• Course Syllabus
• Important Dates:
  • Test 1, Friday October 7, 2010.
  • Test 2, Friday December 2, 2010.
  • Final, TBA

Getting ready for the Exams

• Past Exams From Spring 2009 (Note: slightly different ordering of the material)
  • midterm1
  • midterm2 Note: in question one, x[n] should be $ 3^n $ for negative n's.
  • midterm3
  • final

• Past Exams From Fall 2009
  • midterm1
  • midterm2
  • final

• Practice Problems
  • Practice Question 1 (on DFT computation)
  • Practice Question 2 (on z-transform computation)
  • Practice Question 3 (on inverse z-transform computation)
  • Practice Question 4 (frequency domain view of sampling)
  • Practice Question 5 (filter design)

Lab Wiki

Here.

Resources

• A beginner’s guide to LaTeX (Chapter 1). By Krithika Chandrasekar.
• NEW! A beginner’s guide to LaTeX (Chapter 2). By Krithika Chandrasekar.
• Rhea's Collective Table of Formulas. Add your formulas now!
• Cheat Sheet for Rhea Math
• zpgui3.m A MATLAB GUI showing the effect of poles and zeros during filter design.

Lecture Blog

Lecture 1, 2, 3 ,4 ,5 ,6 ,7 ,8 ,9 ,10 ,11 ,12 ,13 ,14 ,15 ,16 ,17 ,18 ,19 ,20 ,21 ,22 ,23 ,24 ,25 ,26 ,27 ,28 ,29 ,30 ,31 ,32 ,33 ,34 ,35 ,36 ,37 ,38 ,39 ,40 ,41 ,42 ,43 ,44.

Collectively Solved Practice Problems

• Learn how to use Rhea
  • Practice writing equations on Rhea

• Basic material and review
  • What is the norm of a complex exponential?

• Summation exercises
  • Compute this sum
  • Compute this other sum
  • ... and this other sum
  • When is this summation formula valid?

• CTFT exercises
  • Obtain the Fourier transform in terms of f of a step function (from FT in terms of omega)
  • Compute the Fourier transform of a rect and a sinc
  • What is the Fourier transform of a complex exponential?

• DTFT exercise
  • What is the Fourier transform of this DT cosine?
  • What is the Fourier transform of this DT rect function?

• Sampling and Nyquist Rate
  • Playing an A 440 with MATLAB
  • What kind of signals are band limited?

• Z-transform and inverse z-transform
  • Prove the scaling property of the z-transform
  • compute the z-transform of this function

• DFT
  • Compute this DFT
  • Compute this other DFT
  • What is the effect of zero padding on the DFT?

• Spectral Analysis of continuous-space (2D) signals
  • Obtain the continuous-space Fourier transform of a complex exponential
  • Obtain the continuous-space Fourier transform of a 2D rect
  • Obtain the continuous-space Fourier transform of a 2D sinc

• Spectral Analysis of discrete-space (2D) signals
  • Obtain the discrete-space Fourier transform of a rectangle
  • Compute the discrete-space Fourier transform of this function
  • Compute the discrete-space Fourier transform of this cosine

Homework

• HW1 due Wednesday August 31, 2011. Solution
• HW2 due Wednesday September 6, 2011. Example Solution
• HW3 due Wednesday September 28, 2011 (extended to Sept 30). Solution
• HW4 due Wednesday October 5, 2011. Solution
• HW5 due Wednesday October 19, 2011. Solution
• HW6 due Wednesday October 26, 2011. Solution
• HW7 due Wednesday November 9, 2011.
• HW8 due Wednesday November 30, 2011. Solution

Your turn! A bonus point opportunity

Students in ECE438 Fall 2011 have the opportunity to earn up to a 3% bonus by contributing a Rhea page on a subject related to digital signal processing. To pick a subject, simply write your name next to it. Your page will be graded based on content as well as interactions with other people (page views, comments/questions on the page, etc.). The number of links to other courses and subjects will also be taken into account: the more the merrier! Please do not simply copy the lecture notes and do not plagiarize. Read Rhea's copyright policy before proceeding.

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