Why Daubechies wavelets are so successful-Reference-Cited by-同舟云学术

Why Daubechies wavelets are so successful

Published:2022-11-11 Issue:6 Volume:43 Page:6933-6938
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Cortez Solymar Ayala¹,Bokati Laxman²,Velasco Aaron¹,Kreinovich Vladik³

Affiliation:

1. Department of Geological Sciences, University of Texas at El Paso, 500 W. University, El Paso, TX, USA

2. Computational Science Program, University of Texasat El Paso, 500 W. University, El Paso, TX, USA

3. Department of Computer Science, University of Texas at El Paso, 500 W. University, El Paso, TX, USA

Abstract

In many applications, including analysis of seismic signals, Daubechies wavelets perform much better than other families of wavelets. In this paper, we provide a possible theoretical explanation for the empirical success of Daubechies wavelets. Specifically, we show that these wavelets are optimal with respect to any optimality criterion that satisfies the natural properties of scale- and shift-invariance.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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