A quantitative method for choosing optimal Daubechies wavelets

Eric Stachura, Andrew Hunter

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.

Full Text: PDF

Published: 2018-07-31

How to Cite this Article:

Eric Stachura, Andrew Hunter, A quantitative method for choosing optimal Daubechies wavelets, Advances in Inequalities and Applications, Vol 2018 (2018), Article ID 12

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.

Advances in Inequalities and Applications

ISSN 2050-7461

Editorial Office: office@scik.org

Copyright ©2018 SCIK Publishing Corporation. All rights reserved.