Wavelet packet transform of stationary signals: Asymptotic behavior of spectral densities

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作者
Herve, L
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O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider quadrature mirror filters, and the associated wavelet packet transform. Let X = {X(n)}(n is an element of 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 --> +infinity. If f is holderian, the convergence rate is exponential.
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页码:653 / 667
页数:15
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