Wavelet packets with uniform time-frequency localization

Lars F. Villemoes

doi:10.1016/S1631-073X(02)02570-0

Wavelet packets with uniform time-frequency localization
[Paquets d'ondelettes avec localisation temps-fréquentielle uniforme]

Lars F. Villemoes ¹

¹ Coding Technologies, Döbelnsgatan 64, 11352 Stockholm, Sweden

Comptes Rendus. Mathématique, Volume 335 (2002) no. 10, pp. 793-796.

Résumé
Abstract

Nous construisons des paquets d'ondelettes de base uniformément bien localisés en temps et en fréquences. Les bases orthonormées correspondantes de paquets d'ondelettes sons parametrisées par des partitions dyadiques obeissants une condition de variation locale.

We construct basic wavelet packets with uniformly bounded localization in both time and frequency. The corresponding orthonormal bases of wavelet packets are parametrized by dyadic segmentations obeying a local variation condition.

Reçu le : 2002-09-23
Accepté le : 2002-10-01
Publié le : 2002-10-20

DOI : 10.1016/S1631-073X(02)02570-0

Affiliations des auteurs :

Lars F. Villemoes ¹

¹ Coding Technologies, Döbelnsgatan 64, 11352 Stockholm, Sweden

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     title = {Wavelet packets with uniform time-frequency localization},
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Lars F. Villemoes. Wavelet packets with uniform time-frequency localization. Comptes Rendus. Mathématique, Volume 335 (2002) no. 10, pp. 793-796. doi : 10.1016/S1631-073X(02)02570-0. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02570-0/

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