Why Daubechies wavelets are so successful

被引：1

作者：

Cortez, Solymar Ayala ^{[1
]}

Bokati, Laxman ^{[2
]}

Velasco, Aaron ^{[1
]}

Kreinovich, Vladik ^{[3
]}

机构：

[1] Univ Texas El Paso, Dept Geol Sci, 500 W Univ, El Paso, TX 79968 USA

[2] Univ Texas El Paso, Computat Sci Program, 500 W Univ, El Paso, TX 79968 USA

[3] Univ Texas El Paso, Dept Comp Sci, 500 W Univ, El Paso, TX 79968 USA

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2022年 / 43卷 / 06期

基金：

美国国家科学基金会;

关键词：

Daubechais wavelets; seismology; invariance;

D O I：

10.3233/JIFS-212021

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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.

引用

页码：6933 / 6938

页数：6

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