A NEW FAMILY OF WAVELETS - THE POISSON WAVELET TRANSFORM

Citation
Ka. Kosanovich et al., A NEW FAMILY OF WAVELETS - THE POISSON WAVELET TRANSFORM, Computers & chemical engineering, 21(6), 1997, pp. 601-620
Citations number
17
Categorie Soggetti
Computer Application, Chemistry & Engineering","Engineering, Chemical","Computer Science Interdisciplinary Applications
ISSN journal
00981354
Volume
21
Issue
6
Year of publication
1997
Pages
601 - 620
Database
ISI
SICI code
0098-1354(1997)21:6<601:ANFOW->2.0.ZU;2-U
Abstract
A new family of wavelets derived from the Poisson distribution is intr oduced. The associated wavelet transform is closely related to the Poi sson transform. The Poisson wavelet transform is characterized by the usual translation and scaling parameters and an additional discrete or dering index. In this paper, the Poisson transform is reviewed, the pr operties of the Poisson wavelet transform are developed, and two examp les are provided to illustrate the utility of this transform for analy zing time delayed signals that are exponentially damped and;for parame ter identification. (C) 1997 Elsevier Science Ltd.