Accession Number : ADA312353

Title :   The Gamma Transform: A Local Time-Frequency Analysis Method.

Descriptive Note : Technical rept. 1 Oct-31 Oct 95,

Corporate Author : COLORADO UNIV AT BOULDER

Personal Author(s) : Ueng, Neng-Tsann ; Scharf, Louis L.

PDF Url : ADA312353

Report Date : 29 JUL 1996

Pagination or Media Count : 8

Abstract : In this paper we introduce the gamma transform, a local time-frequency analysis method which applies to causal signals. The gamma transform resolves the identity, has good time-frequency resolution, and adapts resolution windows according to the time delay. The discretized version of the gamma transform produces gamma frame and, in fact, a tight gamma frame for L2(O,T) provided the frequency sampling interval w0 is less than or equal to 2pi/T. We demonstrate the gamma frame decomposition and reconstruction with several numerical experiments using tight gamma frames and dual gamma frames. Finally, we give the four varieties of the gamma transform corresponding roughly to the four Fourier transforms.

Descriptors :   *SIGNAL PROCESSING, TIME INTERVALS, TIME DEPENDENCE, PARAMETERS, RESOLUTION, TRANSFORMATIONS(MATHEMATICS), NUMERICAL METHODS AND PROCEDURES, TIME DOMAIN, FREQUENCY DOMAIN, TIME LAG THEORY.

Subject Categories : Radiofrequency Wave Propagation

Distribution Statement : APPROVED FOR PUBLIC RELEASE