A quantitative method for choosing optimal Daubechies wavelets

Eric Stachura, Andrew Hunter
Published 2018-07-31
DOI 10.28919/aia/3682

Abstract

We develop a new method for calculating specific values of Daubechies wavelets in one dimension. The novelty of this approach is its ability to calculate exact values of the Daubechies scaling functions and, by extension, wavelets, without calculating values of the scaling function at other unnecessary dyadic rationals. We then provide a new quantitative method for choosing the best wavelet for applications by giving a rigorous error analysis of the wavelet transform for functions of various smoothness.
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How to Cite this Article

Eric Stachura, Andrew Hunter, A quantitative method for choosing optimal Daubechies wavelets, Adv. Inequal. Appl., 2018 (2018), Article ID 12. https://doi.org/10.28919/aia/3682

Copyright © 2018 Eric Stachura, Andrew Hunter. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.