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