Wavelet packet transform of stationary signals: asymptotic behavior of the spectral densities.

Loïc Hervé

Revista Matemática Iberoamericana (1996)

  • Volume: 12, Issue: 3, page 653-667
  • ISSN: 0213-2230

Abstract

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We consider quadrature mirror filters, and the associated wavelet packet transform. Let X = {Xn}n∈Z be a stationary signal which has a continuous spectral density f. We prove that the 2n signals obtained from X by n iterations of the transform converge to white noises when n → +∞. If f is holderian, the convergence rate is exponential.

How to cite

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Hervé, Loïc. "Transformée en paquets d'ondelettes des signaux stationnaires: comportement asymptotique des densités spectrales.." Revista Matemática Iberoamericana 12.3 (1996): 653-667. <http://eudml.org/doc/39523>.

@article{Hervé1996,
author = {Hervé, Loïc},
journal = {Revista Matemática Iberoamericana},
keywords = {Funcional cuadrático; Transformación inversa; Tratamiento de señales; Análisis espectral; Desigualdad de Hölder; Ondículas; Ruido blanco; quadrature mirror filters; wavelet packet transform; stationary signal; white noise},
language = {fre},
number = {3},
pages = {653-667},
title = {Transformée en paquets d'ondelettes des signaux stationnaires: comportement asymptotique des densités spectrales.},
url = {http://eudml.org/doc/39523},
volume = {12},
year = {1996},
}

TY - JOUR
AU - Hervé, Loïc
TI - Transformée en paquets d'ondelettes des signaux stationnaires: comportement asymptotique des densités spectrales.
JO - Revista Matemática Iberoamericana
PY - 1996
VL - 12
IS - 3
SP - 653
EP - 667
LA - fre
KW - Funcional cuadrático; Transformación inversa; Tratamiento de señales; Análisis espectral; Desigualdad de Hölder; Ondículas; Ruido blanco; quadrature mirror filters; wavelet packet transform; stationary signal; white noise
UR - http://eudml.org/doc/39523
ER -

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