Purdue University
School of Electrical and Computer Engineering

ECE648 Wavelet, Time-Frequency, and Multirate Signal Processing

Spring 2007
Prof. Ilya Pollak

Required textbook: S.G. Mallat. "A Wavelet Tour of Signal Processing." 2nd Edition. Academic Press, 1999. ISBN 0-12-466606-X

Other strongly recommended books:

G. Strang, T. Nguyen. "Wavelets and Filter Banks". Wellesley-Cambridge Press, 1997. ISBN 0-9614088-7-1

I. Daubechies. "Ten Lectures on Wavelets". Philadelphia: Society for Industrial and Applied Mathematics, 1992. ISBN 0-89871-274-2

M. Vetterli, J. Kovacevic. "Wavelets and Subband Coding." Prentice Hall, 1995. ISBN 0-13-097080-8

Notes for Lectures 1, 2, and 3.
Slides on best local cosine bases.
Slides on best rectangular tilings and best block bases for compression (slides 4 through 24 only).

Problem Set 1.

Problem Set 2.

Problem Set 3.

Tentative topic list:

Review of Fourier analysis and sampling; time-frequency analysis and methods; multiscale edge detection; wavelet bases and filter banks; local cosine bases; local cosine packets and wavelet packets; approximation, estimation, and compression; geometry-motivated bases and overcomplete representations (e.g., bandelets, curvelets); sparse approximation and compressed sensing; multiscale statistical models.