经验模式分解回顾与展望

J4 ›› 2014, Vol. 36 ›› Issue (01): 155-162.

经验模式分解回顾与展望

毛玉龙，范虹

（陕西师范大学计算机科学学院，陕西西安 710062）

收稿日期:2012-08-10 修回日期:2012-10-22 出版日期:2014-01-25 发布日期:2014-01-25
基金资助:
国家自然科学基金资助项目(51275380)；陕西省科学技术研究发展计划项目(2012K0636)；陕西师范大学中央高校基本科研业务费(GK201102006)

Review and prospects of empirical mode decomposition

MAO Yulong,FAN Hong

(School of Computer Science,Shaanxi Normal University,Xi’an 710062,China)

Received:2012-08-10 Revised:2012-10-22 Online:2014-01-25 Published:2014-01-25

摘要/Abstract

摘要：

经验模式分解EMD打破了Fourier变换、小波分解等传统数据分析方法需要预先设定基函数的局限，是一种完全由数据驱动的自适应非线性非平稳时变信号分解方法，可以将数据从高频到低频分解成具有物理意义的少数几个固有模态函数分量和一个余量。首先介绍了原始EMD方法的原理和算法；接着，总结归纳了EMD当前的研究现状，分析了EMD存在的端点效应、模态混叠、运行速度问题及其在二维情况下的问题并对国内外学者解决这些问题的方法进行了概述和比较；最后结合EMD研究存在的难题指出了EMD进一步研究与应用的发展方向。

关键词: 经验模式分解, 固有模态函数, HilbertHuang变换

Abstract:

Empirical Mode Decomposition (EMD) is a totally datadriven and selfadaptive decomposition algorithm that is used to analyze nonlinear, nonstationary and timevarying signal, it breaks out the limitation of needing of presetting basis function for traditional data analysis method like Fourier transformation and wavelet decomposition, and it can decompose a signal into a few intrinsic mode function components with physical meaning and a residue from highfrequency to lowfrequency. Firstly, the principle and algorithm of the original EMD method are introduced. Secondly, we present an overview of the current development of EMD and analyze EMD's existing end effects, mode mixing, running speed problems and the problems that appeared when the original data are twodimensional and compared researchers' solutions to these problems. Finally, combined with its problems, several directions of further research and application are pointed out.

Key words: empirical mode decomposition(EMD);intrinsic mode function (IMF);HilbertHuang transform

毛玉龙，范虹. 经验模式分解回顾与展望[J]. J4, 2014, 36(01): 155-162.

MAO Yulong,FAN Hong. Review and prospects of empirical mode decomposition [J]. J4, 2014, 36(01): 155-162.