Fred Fontaine

Chair of Electrical Engineering

ECE415 Wavelets & Multiresolution Imaging

This course is co-taught by Prof. Fontaine of the EE Department and Prof. Agrawal of the Math Department.  The course, intended to introduce topics of current research interest and emphasize the symbiotic relationship between mathematics and electrical engineering, was developed with funding from the National Science Foundation.

This course is currently running (Spring 2019). The primary text is:

S. Mallat, A Tour of Wavelet Signal Processing: The Sparse Edition, Academic Press, 3rd. ed.

Significant additional reference materials are used.  The emphasis is on the modern concepts of sparse representation of signals and applications, especially for multidimensional signals.  The theory of frames and sampling lattices, as well as "conventional" wavelet theory, are presented. Students use MATLAB, including the Wavelet Toolbox, extensively.

A significant portion of the course involves technical readings, and each student gives a presentation on a selected article from a peer reviewed journal.