ELEG832 (Spring of 2008): Wavelets and Filterbanks


Instructor

Dr. Xiang-Gen Xia

Office

311 Evans Hall

Email/Phone

xxia@ee.udel.edu, (302)831-8038

Time:

TR 3:30-4:45pm

Room:

Gore Hall 308

Office Hours:

TR 5:00-6:00pm

Grading Policy:

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

Prerequisties

Digital Signal Processing

Textbook (Mainly Follow My Own Notes):

S. Mallet, A Wavelet Tour of Signal Processing, 2nd Ed., Academic Press, New York, 1999.

References:

  1. P. P. Vaidyanathan, Multirate Systems and Filter Banks , Prentice-Hall, 1993.
  2. M. Vetterli and J. Kovacevic, Wavelets and Subband Coding , Prentice-Hall, 1995.
  3. S. Qian and D. Chen, Joint Time-Frequency Analysis , Prentice-Hall, 1996.
  4. G. Strang and T. Nguyen, Wavelets and Filter Banks , Wellesley-Cambridge Press, 1996.
  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