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Dual generators for weighted irregular wavelet frames and reconstruction error
- Source :
-
Applied & Computational Harmonic Analysis . May2007, Vol. 22 Issue 3, p356-367. 12p. - Publication Year :
- 2007
-
Abstract
- Abstract: Dual frames are very useful tools to reconstruct a function and have been explored in many different aspects. In this paper, we give the conditions under which a class of special weighted irregular wavelet frames could have a dual generator with a very explicit form. We also prove that when the irregular translations are changed in some admissible range, the reconstruction formula has a very small perturbation. An example is given to show the use of our main results. [Copyright &y& Elsevier]
- Subjects :
- *WAVELETS (Mathematics)
*PERTURBATION theory
*APPROXIMATION theory
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 10635203
- Volume :
- 22
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Applied & Computational Harmonic Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 24609728
- Full Text :
- https://doi.org/10.1016/j.acha.2006.10.001