连续经验小波系统

IF 0.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Advances in Data Science and Adaptive Analysis Pub Date : 2020-11-17 DOI:10.1142/S2424922X20500060

J. Gilles

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引用次数: 2

摘要

最近提出的经验小波变换是基于一种特殊类型的滤波器。在本文中，我们的目的是提出一个构造连续情况下经验小波系统的一般框架。我们定义了一个合适的形式，然后研究了经验小波系统的一些一般性质。特别地，我们给出了重构公式存在的一些充分条件。在论文的第二部分，我们在一些经典母小波的基础上提出了经验小波系统的构造。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Continuous Empirical Wavelets Systems

The recently proposed empirical wavelet transform was based on a particular type of filter. In this paper, we aim to propose a general framework for the construction of empirical wavelet systems in the continuous case. We define a well-suited formalism and then investigate some general properties of empirical wavelet systems. In particular, we provide some sufficient conditions to the existence of a reconstruction formula. In the second part of the paper, we propose the construction of empirical wavelet systems based on some classic mother wavelets.

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来源期刊

Advances in Data Science and Adaptive Analysis MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

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