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Mean size of wavelet packets

✍ Scribed by Morten Nielsen; Ding-Xuan Zhou

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
155 KB
Volume
13
Category
Article
ISSN
1063-5203

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✦ Synopsis

We study the mean size of wavelet packets in L p . 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 L p norms on the subdivision trees. Then the stability and Schauder basis property of wavelet packets in L p , and the instability of biorthogonal wavelet packets in L 2 are analyzed.

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