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
On the Existence of Compactly Supported Dual Wavelets
✍ Scribed by P.G. Lemarié-Rieusset
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 92 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1063-5203
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✦ Synopsis
We prove that for every minimally supported scaling function ϕ there exists a compactly supported dual scaling function φ and thus that ϕ generates a biorthogonal basis of compactly supported wavelets (with compactly supported dual wavelets).
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