منابع مشابه
Mean Size of Wavelet Packets
We study the mean size of wavelet packets in Lp. An exact formula for the mean size is given in terms of the p-norm joint spectral radius. This will be a corollary of an asymptotic formula for the Lp-norms on the subdivision trees. Then the stability and Schauder basis property of wavelet packets in Lp, and the instability of biorthogonal wavelet packets in L2 are analyzed. AMS Subject Classifi...
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This article obtains the nonseparable version of wavelet packets on ~a and generalizes the "'unstability" result of nonorthogonal wavelet packets in Cohen-Daubechies to higher dimensional cases. 1 . I n t r o d u c t i o n The wavelet packets introduced by R. Coifman, Y. Meyer, and M. V. Wickerhauser played an important role in the applications of wavelet analysis as shown, for example, in [CMW...
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We show that asymptotic estimates for the growth in L(R)-norm of a certain subsequence of the basic wavelet packets associated with a finite filter can be obtained in terms of the spectral radius of a subdivision operator associated with the filter. We obtain lower bounds for this growth for p 2 using finite dimensional methods. We apply the method to get estimates for the wavelet packets assoc...
متن کاملInterpolatory Wavelet Packets
Sherman D. Riemenschneider Zuowei Shen Department of Mathematics Department of Mathematics West Virginia University National University of Singapore Morgantown, WV 26506 Singapore 119260 [email protected] Abstract: In this note, we present a construction of interpolatory wavelet packets. Interpolatory wavelet packets provide a ner decomposition of the 2jth dilate cardinal interpolation spa...
متن کاملDiffusion wavelet packets
Diffusion wavelets can be constructed on manifolds, graphs and allow an efficient multiscale representation of powers of the diffusion operator that generates them. In many applications it is necessary to have time–frequency bases that are more versatile than wavelets, for example for the analysis, denoising and compression of a signal. In the Euclidean setting, wavelet packets have been very s...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2002
ISSN: 1063-5203
DOI: 10.1016/s1063-5203(02)00005-2