ECE 732: Advanced Signal Processing


Background in undergraduate level signal processing, probability and statistics,
e.g., ECE 431 and 331

Homework Problems


Robert Nowak
Phone: 608 265 3914
3627 Engineering Hall
Office Hours: after lecture, Tuesday and Thursday, 12:15-1:15pm

Teaching Assistant:

Kei Hao
Office Hours: Tuesday and Thursday, 2-3pm, B630 Engineering Hall


Fall 2003
Tuesday, Thursday 11:00 AM - 12:15 PM
3032 Engineering Hall

Discussion Sessions:

The TA will hold a weekly discussion session to review homework problems/solutions,
discuss projects, and review topics covered in the lectures.
Time: Thursdays 5:30-7pm
Place: 3355 Engineering Hall

Course Notes: available for purchase at Bob's Copy Shop
Textbook: none

Grading and Evaluation:

Two Midterms: 40% (20% each)
Exam 1: handed-out at class Oct 21, due Oct 23
Exam 2: handed-out at class Dec 9, due Dec 11
Three Projects: 45% (15% each)
Homework & Course Participation: 15%

Keeping up with the course and participating in lectures (asking questions)
is very important to successful learning. Keep your homework solutions organized
in a folder or binder. I will ask you to turn in your solutions from time to time
to see how you are keeping up with the coursework.

Course Outline:

1. Minimum Mean Square Error Estimation and Filtering
- mean square error
- orthogonality principle
- Wiener filtering
- adaptive filtering and the Least Mean Square algorithm

2. Spectral Estimation: The Basics
- Periodogram
- Non-parametric Spectrum Estimation
- Parametric Methods
- Minimum Variance and Eigenanalysis Methods

3. Time Meets Frequency
- Time-frequency Analysis
- Windowed Fourier Transform
- Wavelet Transforms
- Instantaneous Frequency
- Quadratic Time-Frequency Distributions

4. Wavelet and Multiresolution Signal Analysis
- Signal Spaces
- Signal Bases and Frames
- Wavelet Transforms

5. Filter Banks and the Discrete Wavelet Transform
- Discrete Wavelet Transform
- Analysis and Synthesis Filter Banks
- Regularity and Vanishing moments
- Approximation Theory

6. Wavelet-Based Signal and Image Processing
- Image Compression and Coding
- Denoising

Course Notes

Reference Textbooks (not required, on reserve at Wendt Library):
Oppenheim and Schafer, Discrete Time Signal Processing, Prentice-Hall, 1989.
Haykin, Adaptive Filter Theory, Prentice Hall, 1986.
Solo and Kong, Adaptive Signal Processing Algorithms, Prentice Hall, 1995.
Mallat, A Wavelet Tour of Signal Processing, 2nd edition, Academic Press, 1999
Burrus, Gopinath, and Guo, Introduction to Wavelets and Wavelet Transforms: A Primer, Prentice Hall, New Jersey, 1998
Kay, Modern Spectral Estimation : Theory and Application, Prentice Hall, 1988
Proakis and Manolakis, Digital Signal Processing, 3rd edition, Prentice Hall, 1996
Flandrin, Time-Frequency / Time-Scale Analysis, Academic Press, 1999

Useful Websites

Rice Wavelet Toolbox for Matlab Computational Mathematics Laboratory

Rice University