ECE8453—Introduction to Wavelets
Spring 2009
Course Information
ECE8453—Introduction to Wavelets Section: 01 Credits: 3
Meeting time: 1:00pm–2:15pm Monday, Wednesday Meeting location: Rm. 250 Simrall Web page: http://www.ece.msstate.edu/~fowler/Classes/ECE8453 Email list: ece8453@ece.msstate.edu, archives
Instructor
Dr. James E. Fowler, Electrical & Computer Engineering
Office: 225 Simrall Email: Phone: 325-3640 Office Hours: 9:00am–1:00pm, 2:30pm–4:00pm Monday, Wednesday
Class Objectives
This course will explore the ideas behind, and the properties of, wavelets. The focus will be on the use of wavelets as analytical tools for signal processing, numerical analysis, and mathematical modeling. The material will be presented in a manner accessible to engineers by emphasizing wavelets as practical methods of solving problems. Substantial time will be devoted to surveying application of wavelets in various domains. Mathematics of moderate complexity will be introduced only as means necessary to practical ends; however, a prior background in Fourier series and transforms, linear algebra, and matrix theory is essential.
Topics
- Wavelets and wavelet-expansion systems
- The discrete wavelet transform
- Multiresolution formulation of wavelet systems
- Filter banks and the discrete wavelet transform
- Time-frequency tilings
- Biorthogonal wavelets
- Wavelet packets
- Wavelet-based applications
Textbook
Burrus, C. S., R. A. Gopinath, and H. Guo. Wavelets and Wavelet Transforms, Prentice-Hall, 1998. ISBN: 0-13-489600-9
Textbook errata
Prerequisite
ECE3443—Signals and Systems or equivalent, or permission of instructor
Resources
- MATLAB resources for those learning how to use MATLAB
- Additional references on wavelets
