A wavelet filter enhancement scheme with a fast integral B-wavelet transform and pyramidal multi-B-wavelet algorithm |
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| Authors: | James D.B. Nelson |
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| Affiliation: | Image, Speech, and Intelligent Systems, Southampton University, Southampton, SO17 1BJ, UK |
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| 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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| Keywords: | Multiwavelet Wavelet modification Fast continuous wavelet transform Lifting scheme Filter characteristic |
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