ECE438 Course Summary (Fall 2009)

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 explicitely.)

• 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, 331-345,
    • 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,
    • 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: 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 (4) on sampling and reconstruction

• Week 4-5: DFT and FFT
  • References
    • PM pp. 393-425, 448-475
    • First lab on DFT and FFT
    • Second lab on DFT and FFT
    • 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. Allebach's lecture notes on Circular Convolution
    • Prof. Pollak's notes on FFT
    • Prof. Bouman's handout on DFT, FFT, and quantization
  • Labs

Part 3 (week 7-12): DT Systems

• Week 7: DT System Properties and frequency response
  • References
    • PM pp. 43-91
    • Lab on discrete-time systems
    • 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
  • Labs

• Filtering
  • References
    • First lab on digital filter design
    • Second lab on digital filter design
  • Labs

• 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

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

• Image Processing
  • First lab on image processing
  • Second lab on image processing

Part 3 (week 13-14): Encoding

• Quantization
  • Laboratory on number representation and waveform quantization
• Prof. Bouman's handout on DFT, FFT, and quantization

• Encoding