On Strömberg′s Spline-Wavelets
✍ Scribed by Ming-Jun Lai
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 284 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1063-5203
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✦ Synopsis
We provide a simple representation of Strömberg's wavelets which was studied in [J. Strömberg, in "Conference on Harmonic Analysis in Honor of A. Zymund" (W. Beckner, Ed.), Wadeworth International Group, Belmont, CA, 1983]. This representation enables us to compute those wavelets efficiently. We point out the multiresolution approximation associated with this wavelet and the connection with Chui-Wang's cardinal spline wavelet. A generalization of Strömberg's wavelet is also given. (C) 1994 Academic Press, Inc.
📜 SIMILAR VOLUMES
Wavelets are constructed comprising spline functions with multiple knots. These wavelets have certain derivatives vanishing at the integers, in an analogous manner to the \(B\)-splines of Schoenberg and Sharma related to cardinal Hermite interpolation. 1994 Academic Press, Inc.
The \(m\) th order cardinal \(B\)-spline-wavelet (or simply, \(B\)-wavelet) \(\psi_{m}\) is known to generate orthogonal decompositions of any function in \(L^{2}(-\infty, \infty)\). Since \(\psi_{m}\) is usually .considered as a bandpass filter, a wavelet series \(g=\sum c, \psi_{m}(\cdots)\) may b
This paper is concerned with the construction of biorthogonal multiresolution analyses on [0, 1] such that the corresponding wavelets realize any desired order of moment conditions throughout the interval. Our starting point is the family of biorthogonal pairs consisting of cardinal B-splines and co