A note on reassignment for wavelets
Hans Martin Reimann
TL;DR
This paper investigates the reassignment method for wavelet transforms, highlighting improved results when using wavelets that are extremal for the affine group's uncertainty relation.
Contribution
It demonstrates that choosing wavelets extremal for the affine group's uncertainty relation enhances the reassignment method's effectiveness.
Findings
Improved localization in wavelet reassignment
Optimal wavelet choice based on uncertainty principles
Enhanced analysis of signals using extremal wavelets
Abstract
The reassignment method for the wavelet transform is investigated. Particularly good results are obtained if the wavelet is an extremal for the uncertainty relation of the affine group.
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Taxonomy
TopicsImage and Signal Denoising Methods · Mathematical Analysis and Transform Methods · Sparse and Compressive Sensing Techniques