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

Ayache, Antoine (2001), Some Methods for Constructing Nonseparable, Orthonormal, Compactly Supported Wavelet Bases, Applied and Computational Harmonic Analysis, 10, 1, p. 99-111. http://dx.doi.org/10.1006/acha.2000.0325

Type
Article accepté pour publication ou publié
Date
2001
Journal name
Applied and Computational Harmonic Analysis
Volume
10
Number
1
Publisher
Elsevier
Pages
99-111
Publication identifier
Metadata
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Author(s)
Ayache, Antoine
Abstract (EN)
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.
Subjects / Keywords
wavelet bases; orthonormal and regular wavelets; filter banks