局部均值分解与经验模式分解的对比研究

程军圣;张亢;杨宇;于德介

振动与冲击 ›› 2009, Vol. 28 ›› Issue (5) : 13-16.

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振动与冲击 ›› 2009, Vol. 28 ›› Issue (5) : 13-16.
论文

局部均值分解与经验模式分解的对比研究

  • 程军圣,张亢,杨宇,于德介
作者信息 +

A comparison between the local mean decomposition and the empirical mode decomposition method

  • Cheng Junsheng,Zhangkang,Yang Yu,Yu Dejie
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摘要

摘要:介绍了一种新的非平稳信号分析方法——局部均值分解(Local mean decomposition,简称LMD)。
LMD方法可以自适应地将任何一个复杂信号分解为若干个具有一定物理意义的PF(Product function)分量之和,其中每个PF分量为一个包络信号和一个纯调频信号的乘积,从而获得原始信号完整的时频分布。本文首先介绍了LMD方法,然后将LMD方法对仿真信号进行了分析,取得了满意的效果,最后将其和经验模式分解EMD(Empirical mode decomposition)方法进行了对比,结果表明在端点效应、迭代次数等方面LMD方法要优于EMD方法。

Abstract

Abstract A new nonstationary signal analysis method,namely, the local mean decomposition (LMD) is introduced in this paper. By using LMD, any complicated signal can be decomposed into a set of product functions whose instantaneous frequencies own physical sense and each of which is a product of an envelope signal and a purely frequency modulated signal, thereby the complete time-frequency distribution of the original signal can be obtained. In this paper, firstly the LMD method is introduced, and then the simulated signal is analyzed by LMD and satisfied results have been obtained. At last, the LMD method is compared with EMD method and the results indicated that the LMD method is superior to the EMD method in some respects, as in boundary effect and iterative times.

关键词

局部均值分解 经验模式分解 非平稳信号 端点效应

Key words

Key word Local mean decomposition / Empirical mode decomposition / Nonstationary signals / Boundary effect

引用本文

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程军圣;张亢;杨宇;于德介. 局部均值分解与经验模式分解的对比研究 [J]. 振动与冲击, 2009, 28(5): 13-16
Cheng Junsheng;Zhangkang;Yang Yu;Yu Dejie. A comparison between the local mean decomposition and the empirical mode decomposition method [J]. Journal of Vibration and Shock, 2009, 28(5): 13-16

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