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Some Methods for Constructing Nonseparable, Orthonormal, Compactly Supported Wavelet Bases

✍ Scribed by Antoine Ayache

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 133 KB
Volume: 10
Category: Article
ISSN: 1063-5203
DOI: 10.1006/acha.2000.0325

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✦ Synopsis

We first show that by combining monodimensional filter banks one can obtain nonseparable filter banks. We then give necessary conditions for these filter banks to generate orthonormal and regular wavelets. Finally, we establish that some of these filter banks lead to arbitrarily smooth, nonseparable, orthonormal, compactly supported wavelet bases.