Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9500310 | Applied and Computational Harmonic Analysis | 2005 | 18 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
James D.B. Nelson,