Title :
Wavelet synthesis by alternating projections
Author :
Pesquet, J.C. ; Combettes, P.L.
Author_Institution :
Univ. de Paris-Sud, Orsay, France
fDate :
3/1/1996 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
