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Titre du document / Document title

The design of approximate Hilbert transform pairs of wavelet bases

Auteur(s) / Author(s)

SELESNICK Ivan W. (1) ;

Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)

(1) Electrical and Computer Engineering, Polytechnic University, Brooklyn, NY 11201, ETATS-UNIS

Résumé / Abstract

Several authors have demonstrated that significant improvements can be obtained in wavelet-based signal processing by utilizing a pair of wavelet transforms where the wavelets form a Hilbert transform pair. This paper describes design procedures, based on spectral factorization, for the design of pairs of dyadic wavelet bases where the two wavelets form an approximate Hilbert transform pair. Both orthogonal and biorthogonal FIR solutions are presented, as well as IIR solutions. In each case, the solution depends on an allpass filter having a flat delay response. The design procedure allows for an arbitrary number of vanishing wavelet moments to be specified. A Matlab program for the procedure is given, and examples are also given to illustrate the results.

Revue / Journal Title

IEEE transactions on signal processing    ISSN  1053-587X   CODEN ITPRED 

Source / Source

2002, vol. 50, no5, pp. 1144-1152 (25 ref.)

Langue / Language

Anglais

Editeur / Publisher

Institute of Electrical and Electronics Engineers, New York, NY, ETATS-UNIS  (1991) (Revue)

Mots-clés anglais / English Keywords

Spectral method

;

System design

;

All pass filter

;

Infinite impulse response filter

;

Finite impulse response filter

;

Filter bank

;

Approximation

;

Factorization

;

Wavelet base

;

Hilbert transformation

;

Wavelet transformation

;

Signal processing

;

Mots-clés français / French Keywords

Méthode spectrale

;

Conception système

;

Filtre passe tout

;

Filtre réponse impulsion infinie

;

Filtre réponse impulsion finie

;

Banc filtre

;

Approximation

;

Factorisation

;

Base ondelette

;

Transformation Hilbert

;

Transformation ondelette

;

Traitement signal

;

Mots-clés espagnols / Spanish Keywords

Método espectral

;

Concepción sistema

;

Filtro de todo paso

;

Filtro respuesta impulsión inacabada

;

Filtro respuesta impulsión acabada

;

Banco filtro

;

Aproximación

;

Factorización

;

Base ondíta

;

Transformación Hilbert

;

Transformación ondita

;

Procesamiento señal

;

Localisation / Location

INIST-CNRS, Cote INIST : 222 E3, 35400010794197.0140

Nº notice refdoc (ud4) : 13603356



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