A wavelet filter enhancement scheme with a fast integral B-wavelet transform and pyramidal multi-B-wavelet algorithm
Nelson, James D B (2005) A wavelet filter enhancement scheme with a fast integral B-wavelet transform and pyramidal multi-B-wavelet algorithm. Applied and Computational Harmonic Analysis, 18, (3), 234-251.
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Description/Abstract
A construction paradigm is proposed to refine a class of wavelet bases such that the filter characteristics are enhanced. In particular, it is shown that the entire Mth order B-wavelet family belong to this class. Exploiting some recent work, a fast integral wavelet transform is found for the refined B-wavelet family. Moreover, this refined basis can be placed into the setting of a multiresolution analysis that has a multiplicity greater than one. Accordingly, a fast, discrete, pyramidal algorithm is realised.
| Item Type: | Article |
|---|---|
| Additional Information: | Note: Elsevier published my old email address. My new email address is jn@ecs.soton.ac.uk |
| Related URLs: | |
| Keywords: | Multiwavelet; Wavelet modification; Fast continuous wavelet transform; Lifting scheme; Filter characteristic |
| Divisions: | Faculty of Physical Sciences and Engineering > Electronics and Computer Science |
| Item ID: | 260848 |
| Date Deposited: | 11 May 2005 |
| Last Modified: | 01 Mar 2012 11:09 |
| Contributors: | Nelson, James D B (Author) |
| Date: | May 2005 |
| Additional Information: | Note: Elsevier published my old email address. My new email address is jn@ecs.soton.ac.uk |
| Status: | Published |
| Publisher: | Elsevier |
| Further Information: | Google Scholar |
| ISI Citation Count: | 2 |
| URI: | http://eprints.soton.ac.uk/id/eprint/260848 |
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