Accession Number : ADA311768

Title :   Frequency-Damping Resolution of the Unit Disc: A Wavelet Idea.

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

Corporate Author : COLORADO UNIV AT BOULDER DEPT OF ELECTRICAL AND COMPUTER ENGINEERING

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

PDF Url : ADA311768

Report Date : 29 JUL 1996

Pagination or Media Count : 9

Abstract : In this paper we introduce the numerical Laplace transform, a local time frequency analysis method which applies to causal signals. The numerical Laplace transform resolves the identity, has good time-frequency resolution, and adapts resolution windows according to the time delay. The numerical Laplace transform is equivalent to a wavelet transform in the frequency domain. The discretized version of the numerical Laplace transform is invertible. The kernel vectors of the transform are frame vectors that are nearly tight over a fairly wide range of parameters. We demonstrate this with several numerical experiments. The numerical Laplace transform resolves a causal signal onto the s-plane. With a suitable mapping, the signal is resolved into the frequency damping unit disc.

Descriptors :   *SIGNAL PROCESSING, *LAPLACE TRANSFORMATION, TIME INTERVALS, PARAMETERS, NUMERICAL ANALYSIS, DISKS, FREQUENCY DOMAIN.

Subject Categories : Cybernetics

Distribution Statement : APPROVED FOR PUBLIC RELEASE