Revision as of 05:09, 3 September 2014

ECE 438: Digital Signal Processing with Applications

Professor Boutin, Fall 2014

Course Information

• Instructor: Prof. Mimi
  • Office: MSEE 342
  • Office hours are listed here.
• Teaching Assistant: Trey Shenk
  • Email: shenkt at purdue dot you know what
• Teaching Assistant: Ikbeom Jang
  • Email: jang69 at purdue dot you know what
• Course Outline (Approximate schedule with detailed reference list)
• Course Syllabus
• Important Dates:
  • Test 1: Friday October 10, 2014
  • Test 2: Friday December 5, 2014
  • Final, TBA

Labs

Here

Resources

• Rhea's Collective Table of Formulas. Add your formulas now!
  • CTFT
  • DTFT
  • z-transform
• Cheat Sheet for Rhea Math
• zpgui3.m A MATLAB GUI showing the effect of poles and zeros during filter design.
• Graph of Magnitude of DTFT of a window function

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, final exam .

Homework

• HW1 ,
• HW2,
• HW3
• HW4
• HW5,
• HW6,
• HW7,
• HW8,
• HW9,
• HW10,
• HW11,

Slectures

Post a link to your slecture page below the relevant topic. If you want to reserve a particular topic, write your name/nickname below the topic. Please no more than 4 students per topic. To build your slecture page, you should use the following templates.

• Template for text slecture
• Template for video slecture

• Topic 1: Fourier transform as a function of frequency $ \omega $ versus Fourier transform as a function of frequency $ f $ (in hertz). (Make sure to give some examples, including some signal whose FT cannot be computed directly because the intergral diverges, as well as some signal whose FT involves some Dirac delta(s). For that signal whose FT involves some Dirac delta(s), compute the FT two different ways: 1) by starting from the ECE301 FT pair and making a change of variable, and 2) by direct computation. Observe that the expressions for the FT are different. Then point out that one can transform one expression into the other using the scaling property of the Dirac delta.)
  • Text slecture by Xiaozhe
  • link to slecture page
  • link to slecture page
• Topic 2: Definition of the "rep" and "comb" operators. (Note that there are two ways to define each of these operators: using multiplication/convolution with an impulse train, or using a summation formula without impulse-train. You should include both representations and explain how to go from one to the other.)
  • link to slecture page
  • link to slecture page
• Topic 3: Fourier transform of "rep" and "comb". (Make sure to carefully explain how to compute the Fourier transform of an impulse-train. You do not need to prove the multiplication/convolution property of the CTFT, but state it clearly whenever you need to use it.)
  • Video slecture by Ben
  • link to slecture page
  • link to slecture page
• Topic 4: Discrete-time Fourier transform (DTFT): definition, periodicity property, example (computation of DTFT of a complex exponential)
  • link to slecture page
  • link to slecture page
  • link to slecture page
• Topic 5: Discrete-time Fourier transform (DTFT) of a sampled cosine. Case 1) sampling rate above Nyquist rate, Case 2) sampling rate below Nyquist rate
  • link to slecture page
  • link to slecture page
  • link to slecture page
• Topic 6: Nyquist Theorem, with proof and example
  • link to slecture page
  • link to slecture page
  • link to slecture page
• Topic 7: Frequency domain view of the relationship between a signal and a sampling of that signal
  • link to slecture page
  • link to slecture page
  • link to slecture page
• Topic 8: Frequency domain view of downsampling
  • link to slecture page
  • link to slecture page
  • link to slecture page
• Topic 9: Frequency domain view of upsampling
  • link to slecture page
  • link to slecture page
  • link to slecture page

A bonus point opportunity

Students in ECE438 Fall 2014 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.

Back to ECE438