- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:42
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
12
1996
3
Transformée en paquets d'ondelettes des signaux stationnaires: comportement asymptotique des densités spectrales
Loïc
Hervé
Université de Rennes I, RENNES CEDEX, FRANCE
We consider quadrature mirror fi lters, and the associated wavelet packet transform. Let $X = \{X_n \} _{n \in \mathbb Z}$ be a stationary signal which has a continuous spectral density, $f$. We prove that the $2^ n$ signals, obtained from $X$ by $n$ iterations of the transform, " converge" to white noises when $n \rightarrow + \infty$. If $f$ is holderian, the convergence rate is exponential.
General
653
667
10.4171/RMI/210
http://www.ems-ph.org/doi/10.4171/RMI/210