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Highly Nonstationary Wavelet Packets

✍ Scribed by Morten Nielsen

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 199 KB
Volume: 12
Category: Article
ISSN: 1063-5203
DOI: 10.1006/acha.2001.0372

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✦ Synopsis

We introduce a new class of basic wavelet packets, called highly nonstationary wavelet packets, that generalize the class of nonstationary wavelet packets. We define the periodic Shannon wavelet packets and show how to obtain perturbations of this system using periodic highly nonstationary wavelet packets. Such perturbations provide examples of periodic wavelet packets that do form a Schauder basis for L p [0, 1) for 1 < p < ∞. We also consider the representation of the differentiation operator in such periodic wavelet packets.  2002 Elsevier Science (USA)

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