ECE438 Course Outline (Fall 2015, 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 1-7): Spectral Analysis of 1D signals

• Week 1-2: CT and DT Fourier Transforms
  • References
    • PM pp. 253-259, 264-314.
    • Prof. Allebach's lecture notes on Fourier analysis
    • Prof. Pollak's notes on frequency analysis
    • Slectures on Fourier transform as a function of frequency ω versus Fourier transform as a function of frequency f (in hertz).
      • Text slecture by Dauren
      • Text slecture by Randall Cochran
    • Slectures on definition of the "rep" and "comb" operators.
      • Text slecture by Xiaozhe Fan
    • Slectures on Fourier transform of "rep" and "comb".
      • Video slecture by Ben Capano
      • Text slecture by Matt Miller
  • Labs
    • Lab 1 (on discrete and continuous signals)
    • Lab 2 (on discrete-time systems)

• 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
  • Labs
    • Lab 3 (on frequency analysis)
    • Lab 4 (on sampling and reconstruction)

• Week 5-6-7: 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
    • Lab 6a (First lab on DFT and FFT)
    • Lab 6b (Second lab on DFT and FFT)
    • Lab 8 (on number representation and waveform quantization)

Part 2 (week 8-14): DT Systems and Applications

• Week 8: 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

• Week (8): 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 5a (First lab on digital filter design)

• Week 9-(10): 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
  • Lab
    • Lab 5b (Second lab on digital filter design)

• Week (10)-11: Speech Processing
  • References
    • Prof. Pollak's notes on speech processing
    • Speech processing course by Mike Brooks
  • Labs
    • Lab 9a (First lab on speech processing)
    • Lab 9b (Second lab on speech processing)

• Week 12: Spectral Analysis of 2D signals
  • Prof. Bouman's lecture notes on 2D FT
  • Lab
    • Lab 10a (First lab on image processing)

• Week 13-14: Image Processing
  • References
  • Labs
    • Second lab on image processing
    • TREY"S LAB

• Week 15: Review
  • Lab
    • Review

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