一种新的EMD包络定义及拟合方法

包络拟合是经验模态分解（empirical mode decomposition,EMD）中非常关键的一步。针对经典EMD利用信号极值点的三次样条插值构成的包络经常会与信号相交从而破坏包络的定义,在分析包络与性质的基础上提出了一种新的EMD包络拟合方法。该方法可以根据经典EMD包络通过泰勒展开计算出具有相同一阶导的信号和包络的切点与原极值点的偏移量,然后用这些切点取代极值点并通过Hermite多项式插值得到新包络。数值实验结果表明该方法的正交性及能量保存度指标有明显的改善,其拟合的包络线更接近于理想包络线。...

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Bibliographic Details
Published in计算机应用研究 Vol. 33; no. 5; pp. 1457 - 1460
Main Author 莫家玲 何经伟 胡维平 胡晰远
Format Journal Article
LanguageChinese
Published 广西师范大学 广西多源信息挖掘与安全重点实验室,广西 桂林,541004%中国科学院自动化研究所,北京,100190 2016
Subjects
Hermite插值
包络拟合
模态混淆
经验模态分解
mode mixing
包络拟合
Hermite interpolation
经验模态分解
Hermite插值
模态混淆
envelope fitting
empirical mode decomposition(EMD)
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ISSN1001-3695
DOI10.3969/j.issn.1001-3695.2016.05.041

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Summary:包络拟合是经验模态分解（empirical mode decomposition,EMD）中非常关键的一步。针对经典EMD利用信号极值点的三次样条插值构成的包络经常会与信号相交从而破坏包络的定义,在分析包络与性质的基础上提出了一种新的EMD包络拟合方法。该方法可以根据经典EMD包络通过泰勒展开计算出具有相同一阶导的信号和包络的切点与原极值点的偏移量,然后用这些切点取代极值点并通过Hermite多项式插值得到新包络。数值实验结果表明该方法的正交性及能量保存度指标有明显的改善,其拟合的包络线更接近于理想包络线。
Bibliography:51-1196/TP
empirical mode decomposition（EMD）; envelope fitting; Hermite interpolation; mode mixing
This paper presented a new fitting method of EMD envelope. It calculated the offset of the original extreme points and tangential points with the same first derivative of the signal and envelope by Taylor series expansion based on the classical EMD envelope. Then it used the tangential points to replace the extreme points to get new envelopes by Hermite polynomial interpolation. Experimental results show that the index of orthogonality and energy conservation for the new method are greatly improved and the new envelopes are closer to the ideal envelopes.
Mo Jialing;He Jingwei;Hu Weiping;Hu Xiyuan（ 1. Guangxi Normal University, Guangxi Key Laboratory of Multi-source Information Mining ＆ Security, Guilin Guangxi 541004, China ; 2. Insti- tute of Automation, Chinese Academy of Sciences, Beijing 100190, China）
ISSN:1001-3695
DOI:10.3969/j.issn.1001-3695.2016.05.041