Accession Number : ADA311108

Title :   Characterization of Transients.

Descriptive Note : Final rept. 1 Jan 93-31 Dec 95,

Corporate Author : NEW YORK UNIV NY

Personal Author(s) : Mallat, Stephane

PDF Url : ADA311108

Report Date : 31 DEC 1995

Pagination or Media Count : 10

Abstract : We introduced a signal representations to defect and analyze transients. A new algorithm called matching pursuit was developed to decompense any signal as a sum of waveforms that are chosen adaptively from a redundant dictionary of patterns, in order to best match the signal structures. This algorithm was applied to dictionary of dilated Gabor functions in order to characterize oscillatory transients of various sizes and frequencies. The asymptotic properties of this algorithm have been analyzed and we proved the existence of an attractor. This led to a general noise removal procedure which has been applied to audio signals. A fast matching pursuit algorithm was also designed and implemented in a software that is freely available on the internet. The matching pursuit algorithm has been extended in two dimensions for image processing. The image dictionary is composed of translated, dilated, and rotated wavelets. Applications to texture discrimination have been studied. To isolate patterns whose support may intersect, we have introduced a high resolution pursuit algorithm which was used to decompose high resolution radar signals.

Descriptors :   *IMAGE PROCESSING, *PATTERN RECOGNITION, *RADAR SIGNALS, COMPUTER PROGRAMS, ALGORITHMS, TRANSIENTS, HIGH RESOLUTION, ASYMPTOTIC SERIES, DISCRIMINATION, TEXTURE.

Subject Categories : Cybernetics
      Active & Passive Radar Detection & Equipment

Distribution Statement : APPROVED FOR PUBLIC RELEASE