A wavelet filter enhancement scheme with a fast integral B-wavelet transform and pyramidal multi-B-wavelet algorithm
A wavelet filter enhancement scheme with a fast integral B-wavelet transform and pyramidal multi-B-wavelet algorithm
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.
Multiwavelet, Wavelet modification, Fast continuous wavelet transform, Lifting scheme, Filter characteristic
234-251
Nelson, James D B
c3aaed5d-59c0-4e24-817d-ecd0a2e5dc96
May 2005
Nelson, James D B
c3aaed5d-59c0-4e24-817d-ecd0a2e5dc96
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), .
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.
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Published date: May 2005
Additional Information:
Note: Elsevier published my old email address. My new email address is jn@ecs.soton.ac.uk
Keywords:
Multiwavelet, Wavelet modification, Fast continuous wavelet transform, Lifting scheme, Filter characteristic
Organisations:
Electronics & Computer Science
Identifiers
Local EPrints ID: 260848
URI: http://eprints.soton.ac.uk/id/eprint/260848
ISSN: 1063-5203
PURE UUID: ef8151f4-9b18-4c9d-a252-c85ef2e68796
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Date deposited: 11 May 2005
Last modified: 08 Jan 2022 02:44
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Author:
James D B Nelson
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