ECE438 Course Outline (Fall 2010, Prof. Boutin)

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Note: PM refers to the official course book, Digital Signal Processing, 3rd edition, J.G. Proakis and D.G. Manolakis. Prentice Hall, 1996.

Pre-requisite Material (Will not be covered explicitly.)

• Complex Numbers
  • Review of complex numbers from Prof. Pollak's supplementary notes
  • Prof. Allebach's lecture notes on complex variables

• Basic Signals and Signal Properties
  • PM pp. 7-21
  • Prof. Allebach's lecture notes on Signal Types
  • Prof. Allebach's lecture notes on Signal Characteristics
  • Prof. Allebach's lecture notes on Signal Transformations
  • Prof. Allebach's lecture notes on Special Signals
  • Prof. Allebach's handout on signal types
  • Prof. Pollak's notes on signals

• Fourier Series
  • PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,
  • Prof. Pollak's supplementary notes on Fourier series

Part I (week 1-6): Spectral Analysis of 1D signals

• Week 1: CT and DT Fourier Transform
  • References
    • PM pp. 253-259, 264-314.
    • Prof. Allebach's lecture notes on Fourier analysis
    • Prof. Pollak's notes on frequency analysis
  • Lab
    • Lab on discrete and continuous signals

• Week 2: Z-transform
  • References
    • PM pp. 151-197,
    • Chapter 10 of "Signals and Systems" By Oppenheim, Willsky, and Nawab (the ECE301 book).
    • Prof. Pollak's notes on z-transform
    • Prof. Allebach's lecture notes on Derivation,
    • Prof. Allebach's lecture notes on Properties and Pairs,
    • Prof. Allebach's lecture notes on Z-transform and Difference Equations pp. 33-45,
    • Prof. Allebach's lecture notes on Inverse Z-transform
    • Prof. Bouman's handout on partial fractial expansion for inverse z-transform
  • Lab
    • Lab on frequency analysis

• Week 3-4: Sampling
  • References
    • PM pp. 23-33, 738-748, 782-790,
    • Prof. Pollak's notes on sampling
    • Prof. Allebach's lecture notes on sampling analysis
    • Prof. Allebach's lecture notes on relation between CTFT and DTFT
    • Prof. Allebach's lecture notes on sampling rate conversion
  • Lab
    • Lab on sampling and reconstruction

• Week 5-6: DFT and FFT
  • References
    • PM pp. 393-425, 448-475
    • Prof. Allebach's lecture notes on Derivation p. 24
    • Prof. Allebach's lecture notes on Properties and Pairs,
    • Prof. Allebach's lecture notes on FFT,
    • Prof. Pollak's notes on FFT
    • Prof. Bouman's handout on DFT, FFT (and quantization)
  • Labs
    • First lab on DFT and FFT
    • Second lab on DFT and FFT

Part 2 (week 7-14): DT Systems and Applications

• Week 7: DT System Properties and frequency response
  • References
    • PM 53-91, 300-321.
    • Prof. Pollak's notes on systems
    • Prof. Allebach's lecture notes on Systems Overview, p. 63
    • Prof. Allebach's lecture notes on System Properties
    • Prof. Allebach's lecture notes on Convolution, pp. 87-92, 97-110
    • Prof. Bouman's notes on frequency response: 1.2.3
    • Prof. Allebach's notes on system's response

• • Labs
    • Lab on on discrete-time systems

• Week 7-8: Filtering (Systems defined by Difference equations, Filter Design, DFT view of Filtering)
  • References
    • PM 326-349, 480-485, 654-701.
    • Prof. Bouman's lecture notes on Z-transforms and differerence equations
    • Prof. Bouman's lecture notes on digital Filter design: overview, part 1, part 2.
    • Prof. Allebach's lecture notes on Circular Convolution
  • Labs
    • First lab on digital filter design
    • Second lab on digital filter design

• Week 9: (This part will be skipped; the corresponding lab will be covered during dead week and counted as a bonus.)
  • References
    • Prof. Bouman's handout on DFT, FFT, and quantization
    • Chapter 13 of "Digital Signal Processing, Theory and Practice", by D. Sundararajan.
  • Labs
    • Laboratory on number representation and waveform quantization

• Week 10-11: Speech
  • References
    • Prof. Pollak's notes on speech processing
    • Speech processing course by Mike Brooks
  • Labs
    • First lab on speech processing
    • Second lab on speech processing

• Week 12: Spectral Analysis of 2D signals
  • Prof. Bouman's lecture notes on 2D FT

• Week 13-14: Image Processing
  • References
  • Labs
    • First lab on image processing
    • Second lab on image processing

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