ELEG867 (Fall of 1996): Wavelets and Filterbanks
Course:
ELEG-867-011 --- "Wavelets and Filterbanks"
Time:
MW 4:10-5:25pm
Room:
CLB 104
Office Hours:
MW 5:30-7:00pm
Textbook:
G. Strang and T. Nguyen,
Wavelets and Filter Banks , Wellesley-Cambridge Press, 1996.
References:
- P. P. Vaidyanathan, Multirate Systems and Filter Banks ,
Prentice-Hall, 1993.
- Vetterli and J. Kovacevic, Wavelets and
Subband Coding , Prentice-Hall, 1995.
- A. N. Akansu and R. A. Haddad, Multiresolution Signal
Decomposition ,, Academic Press, 1992.
- N. J. Fliege, Multirate Digital Signal Processing ,
John Wiley, 1994.
- S. Qian and D. Chen, Joint Time-Frequency Analysis ,
Prentice-Hall, 1996.
- I. Daubechies, Ten Lectures on Wavelets , SIAM, 1992.
- C. Chui, An Introduction to Wavelets , Academic Press, 1992.
- 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:
- Continuous Wavelet Transforms
- Multiresolution Analysis and Wavelet Series Transforms
- Discrete Wavelet Transforms and Wavelet Packets
- M Channel Multirate Filterbanks: Basics
- Paraunitary M Channel Multirate Filterbanks
- Cosine Modulated Multirate Filterbanks
- Multiwavelets
- Applications of Wavelets and Filterbanks