A formal study of the nonlinearity and consistency of the Empirical Mode Decomposition

被引：68

作者：

Tsakalozos, Nikolaos ^{[1
]}

Drakakis, Konstantinos ^{[1
]}

Rickard, Scott ^{[1
]}

机构：

[1] Univ Coll Dublin, UCD CASL, Dublin 4, Ireland

来源：

SIGNAL PROCESSING | 2012年 / 92卷 / 09期

基金：

爱尔兰科学基金会;

关键词：

Empirical Mode Decomposition (EMD); Intrinsic Mode Functions (IMFs); Envelope; Consistency; Nonlinearity; TIME-SERIES; NOISE; ENHANCEMENT; PERFORMANCE;

D O I：

10.1016/j.sigpro.2011.09.014

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

080906 [电磁信息功能材料与结构]; 082806 [农业信息与电气工程];

摘要：

Towards developing a rigorous mathematical theory for Empirical Mode Decomposition (EMD), we provide an overview of the algorithm and introduce a corresponding operator, attempting a preliminary study. We prove that the EMD is nonlinear, we identify the major reason of its nonlinearity, and we introduce the related concept of consistency, which we show the EMD does not satisfy either. (C) 2012 Published by Elsevier B.V.

引用

页码：1961 / 1969

页数：9

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