Construction of multivariate compactly supported orthonormal wavelets
โ Scribed by Ming-Jun Lai
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 289 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1019-7168
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๐ SIMILAR VOLUMES
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
This paper is devoted to the study and construction of compactly supported tight frames of multivariate multi-wavelets. In particular, a necessary condition for their existence is derived to provide some useful guide for constructing such MRA tight frames, by reducing the factorization task of the a
Numerical optimization is used to construct new orthonormal compactly supported wavelets with a Sobolev regularity exponent as high as possible among those mother wavelets with a fixed support length and a fixed number of vanishing moments. The increased regularity is obtained by optimizing the loca