Accession Number : ADA337887

Title :   Tools for Time-Frequency Analysis

Descriptive Note : Final rept. 1 Apr 95-30 Sep 97

Corporate Author : PRINCETON UNIV NJ PROGRAM IN APPLIED AND COMPUTATIONAL MATHEMATICS

Personal Author(s) : Daubechies, Ingrid

PDF Url : ADA337887

Report Date : DEC 1997

Pagination or Media Count : 5

Abstract : Together with students and postdocs, the PI has worked on the mathematical aspects and applications of various tools in time frequency or time scale analysis. they have brought a deeper understanding to the geometry of redundant representations (frames), and shown the usefulness of frames for multiple description transmission, designed to withstand partial loss of information if some of the channels fail. They have also worked on subdivision schemes for non-uniform data, which can be used to provide efficient data compression for irregularly spaced data which are a superposition of fairly smooth signals with transients. Finally, they have obtained results on several reallocation schemes, aimed at extracting different components from complex signals, without too much pollution from the analyzing tool.

Descriptors :   *FOURIER TRANSFORMATION, *DATA COMPRESSION, *WAVELET TRANSFORMS, ALGORITHMS, SIGNAL PROCESSING, IMAGE PROCESSING, TIME SERIES ANALYSIS, TIME DOMAIN.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE