DocumentCode
779721
Title
Wavelet synthesis by alternating projections
Author
Pesquet, J.C. ; Combettes, P.L.
Author_Institution
Univ. de Paris-Sud, Orsay, France
Volume
44
Issue
3
fYear
1996
fDate
3/1/1996 12:00:00 AM
Firstpage
728
Lastpage
732
Abstract
The coefficients of the quadrature mirror filters involved in orthonormal wavelet or wavelet packets signal decompositions are often chosen in an ad hoc manner. In order to adapt such a decomposition to the signal being analyzed, it may be pertinent to maximize an energy concentration criterion, which leads to a constrained optimization problem. A simple geometric interpretation of this problem is given, and an alternating projection method is proposed to solve it
Keywords
iterative methods; optimisation; quadrature mirror filters; signal processing; wavelet transforms; alternating projections; constrained optimization problem; energy concentration criterion; geometric interpretation; orthonormal wavelet; quadrature mirror filters; wavelet packets signal decompositions; Constraint optimization; Data mining; Filter bank; Information analysis; Mirrors; Signal analysis; Signal resolution; Signal synthesis; Wavelet analysis; Wavelet packets;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.489050
Filename
489050
Link To Document