Revision as of 05:27, 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 template. (Coming soon.)

• 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.)
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• Topic 2: Definition of the "rep" and "comb" operators
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• Topic 3: Fourier transform of "rep" and "comb"
  • Video slecture by Ben
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• Topic 4: Discrete-time Fourier transform (DTFT): definition, periodicity property, example (computation of DTFT of a complex exponential)
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• 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
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• Topic 6: Z-transform: definition, example (computation of a z-transform using geometric series)
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• Topic 7: How to compute an inverse z-transform using power series expansion (give at least one example)
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• Topic 8: Nyquist Theorem, with proof and example
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• Topic 9 Frequency domain view of the relationship between a signal and a sampling of that signal
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• Topic 10: Frequency domain view of downsampling
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• Topic 11: Frequency domain view of upsampling
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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.

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