We prove that for every minimally supported scaling function Ο there exists a compactly supported dual scaling function Ο and thus that Ο generates a biorthogonal basis of compactly supported wavelets (with compactly supported dual wavelets).
On the parametrization of the coefficients of dilation equations for compactly supported wavelets
β Scribed by J. Schneid; S. Pittner
- Publisher
- Springer Vienna
- Year
- 1993
- Tongue
- English
- Weight
- 288 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0010-485X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study the harmonic analysis of the quadrature mirror filters coming from multiresolution wavelet analysis of compactly supported wavelets. It is known that those of these wavelets that come from third order polynomials are parameterized by the circle, and we compute that the corresponding filters
We construct compactly supported wavelet bases satisfying homogeneous boundary conditions on the interval [0, 1]. The maximum features of multiresolution analysis on the line are retained, including polynomial approximation and tree algorithms. The case of H 1 0 ([0, 1]) is detailed and numerical va
In this paper, a technique for the concrete construction of compactly supported 2 Ε½ n . biorthogonal wavelet bases of L R is given. This technique does not depend on the dimension n, and it gives rise to non-separable multidimensional wavelet bases. Of special interest is the study of the stability