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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.
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.
Villemoes, Lars F. 1
@article{CRMATH_2002__335_10_793_0,
author = {Villemoes, Lars F.},
title = {Wavelet packets with uniform time-frequency localization},
journal = {Comptes Rendus. Math\'ematique},
pages = {793--796},
publisher = {Elsevier},
volume = {335},
number = {10},
year = {2002},
doi = {10.1016/S1631-073X(02)02570-0},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1016/S1631-073X(02)02570-0/}
}
TY - JOUR AU - Villemoes, Lars F. TI - Wavelet packets with uniform time-frequency localization JO - Comptes Rendus. Mathématique PY - 2002 SP - 793 EP - 796 VL - 335 IS - 10 PB - Elsevier UR - http://geodesic.mathdoc.fr/articles/10.1016/S1631-073X(02)02570-0/ DO - 10.1016/S1631-073X(02)02570-0 LA - en ID - CRMATH_2002__335_10_793_0 ER -
%0 Journal Article %A Villemoes, Lars F. %T Wavelet packets with uniform time-frequency localization %J Comptes Rendus. Mathématique %D 2002 %P 793-796 %V 335 %N 10 %I Elsevier %U http://geodesic.mathdoc.fr/articles/10.1016/S1631-073X(02)02570-0/ %R 10.1016/S1631-073X(02)02570-0 %G en %F CRMATH_2002__335_10_793_0
Villemoes, Lars F. Wavelet packets with uniform time-frequency localization. Comptes Rendus. Mathématique, Tome 335 (2002) no. 10, pp. 793-796. doi: 10.1016/S1631-073X(02)02570-0
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