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Resumen de Transformée en paquets d'ondelettes des signaux stationnaires: comportment asymptotique des densités spectrales

L. Hervé

  • We consider quadrature mirror filters, and the associated wavelet packet transform. Let X = {Xn}nÎZ 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 ? +8. If f is holderian, the convergence rate is exponential.


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