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
Construction of Compactly SupportedM-Band Wavelets
β Scribed by Ning Bi; Xinrong Dai; Qiyu Sun
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 115 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1063-5203
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β¦ Synopsis
In this paper, we consider the asymptotic regularity of Daubechies scaling functions and construct examples of M-band scaling functions which are both orthonormal and cardinal for M Β’ 3.
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