San Francisco State University

Math 500.2

New Class: Introduction to Wavelets and Applications

Spring 1998, Tu Th 5:35--6:50pm

Instructor: Dr. Shidong Li

The theory of wavelets is a relatively new and fast developing subject in mathematics. It is a tool for function/signal analysis through a basis formed by translations and dilations of a localized wave function. Although some of the topics have only been recently formalized, wavelets have deep roots in physics and engineering. It plays an extremely useful role in applications such as acoustic and seismic signal processing, signal/image compression and time-frequency analysis of sophisticated signals. This class will provide an introduction to the theory of wavelets and demonstrate how modern mathematics is integrated with engineering and physics applications. The class is designed to be accessible to higher level undergraduate students and graduate students who have had Math 325 (Linear Algebra) or with the consent of the instructor. Students who are interested in taking the class are strongly encouraged to talk to Dr. Shidong Li.

Starting with some review of linear algebra, the class will include the fundamentals of theories of wavelets, frames, Gabor frames, and their applications to engineering and physics, particularly to topics of signal processing. Computer projects will be the major component of the course requirement. These projects are designed for the understanding of the theory, applications to real life problems and design of your own wavelets/frames.

Reading Material and Software Tool:

An Introduction to Wavelets Through Linear Algebra, by Michael Frazier

Lecture Notes

Matlab Wavelet Toolbox (Software, limited use provided)

For more information about the new Wavelet Class or wavelet related subjects, please click on the following links or contact Dr. Shidong Li. Your comments are welcome.

Wavelet Class Syllabus (tentative)
Other Wavelet-related Sites

If you have comments or suggestions, email Dr. Shidong Li at shidong@sfsu.edu