| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4605412 | Applied and Computational Harmonic Analysis | 2009 | 18 Pages |
Abstract
Wavelet frames with matrix dilation are studied. We found a necessary condition and a sufficient condition under which a given pair of refinable functions generates dual wavelet systems with a given number of vanishing moments. Explicit methods for construction of compactly supported dual and tight frames with vanishing moments are suggested. Examples of tight frames with symmetric/antisymmetric wavelet functions found by means of this method are presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
