ELEG867 (Fall of 1999): Wavelets and Filterbanks

Instructor

Office

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Office Hours:

Grading Policy:

1. Homework: 20%
   
2. Midterm: 30%
   
3. Final: 50%
   

Prerequisties

Textbook:

References:

1. P. P. Vaidyanathan, Multirate Systems and Filter Banks , Prentice-Hall, 1993.
   
2. S. Qian and D. Chen, Joint Time-Frequency Analysis , Prentice-Hall, 1996.
   
3. G. Strang and T. Nguyen, Wavelets and Filter Banks , Wellesley-Cambridge Press, 1996.
   
4. A. N. Akansu and R. A. Haddad, Multiresolution Signal Decomposition ,, Academic Press, 1992.
   
5. N. J. Fliege, Multirate Digital Signal Processing , John Wiley, 1994.
   
6. I. Daubechies, Ten Lectures on Wavelets , SIAM, 1992.
   
7. C. Chui, An Introduction to Wavelets , Academic Press, 1992.
   
8. Y. Meyer, Wavelets: Algorithms and Applications , SIAM, 1993.
   

Course Description:

Wavelets and filterbanks is a relatively new area in signal and image processing and attracts tremendous attentions recently in both applications and theory. In this course, both fundamentals and some research frontiers in wavelets and filterbanks will be studied. Some of the most important applications will be also studied. These applications include wavelet denoising, subband coding and embedded zero-tree wavelet image coding, layered multicast for packet video, and transmultiplexers in communications.

Contents:

1. Continuous Wavelet Transforms
   
2. Joint Time-Frequency Analysis
   
3. Multiresolution Analysis and Wavelet Series Transforms
   
4. Discrete Wavelet Transforms and Wavelet Packets
   
5. M Channel Multirate Filterbanks: Basics
   
6. Paraunitary M Channel Multirate Filterbanks
   
7. Cosine Modulated Multirate Filterbanks
   
8. Multiwavelets
   
9. Applications of Wavelets and Filterbanks