Wavelet synthesis by alternating projections

Wavelet synthesis by alternating projections

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, whi...

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Veröffentlicht in:IEEE transactions on signal processing 1996-03, Vol.44 (3), p.728-732
Hauptverfasser: Pesquet, J.-C., Combettes, P.L.
Format: Artikel
Sprache:eng
Schlagworte:
Constraint optimization
Data mining
Filter bank
Information analysis
Mirrors
Signal analysis
Signal resolution
Signal synthesis
Wavelet analysis
Wavelet packets
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Zusammenfassung: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.
ISSN:1053-587X
1941-0476
DOI:10.1109/78.489050