WAVELET SYNTHESIS BY ALTERNATING PROJECTIONS

Authors
PESQUET JC COMBETTES PL
Citation
Jc. Pesquet et Pl. Combettes, WAVELET SYNTHESIS BY ALTERNATING PROJECTIONS, IEEE transactions on signal processing, 44(3), 1996, pp. 728-732
Citations number
28
Categorie Soggetti
Engineering, Eletrical & Electronic
Journal title
IEEE transactions on signal processing → ACNP
ISSN journal
1053587X
Volume
44
Issue
3
Year of publication
1996
Pages
728 - 732
Database
ISI
SICI code
1053-587X(1996)44:3<728:WSBAP>2.0.ZU;2-R
Abstract
The coefficients of the quadrature mirror filters involved in orthonor mal wavelet or wavelet packets signal decompositions are often chosen in an ad hoc manner. In order to adapt such a decomposition to the sig nal being analyzed, it may be pertinent to maximize an energy concentr ation criterion, which leads to a constrained optimization problem, In this correspondence, a simple geometric interpretation of this proble m is given, and an alternating projection method is proposed to solve it.