Biorthogonal wavelets in Hm(ℝ)
✍ Scribed by F. Bastin; C. Boigelot
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 1998
- Tongue
- English
- Weight
- 767 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1069-5869
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Several families of biorthogonal wavelet bases are constructed with various properties. In particular, for a given filter, F,,(t), of finite length 2n + 1, a parametric family of dual filters, F;;(E), of length 2N + 1 is constructed. The parametric nature of the dual filters makes it possible to des
In this paper, we will discuss the construction of biorthogonal wavelets that possess the largest possible regularities and required vanishing moments. For the sake of applications, we also give a general Daubechies' iteration method of constructing biorthogonal wavelets by using biorthogonal spline
For every integer M > 2 we introduce a new family of biorthogonal MRAs with dilation factor M, generated by symmetric scaling functions with small support. This construction generalizes Burt-Adelson biorthogonal 2-band wavelets. For M ∈ {3, 4} we are able to find simple explicit expressions for two