| 一种新的EMD包络定义及拟合方法 |
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| 引用本文： | 莫家玲,何经伟,胡维平,胡晰远. 一种新的EMD包络定义及拟合方法[J]. 计算机应用研究, 2016, 33(5) |
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| 作者姓名： | 莫家玲 何经伟 胡维平 胡晰远 |
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| 作者单位： | 广西师范大学 电子工程学院,广西师范大学 电子工程学院,广西师范大学 电子工程学院,中国科学院自动化研究所 |
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| 基金项目： | 国家自然科学基金资助项目(61062011, 61362003, 61201375), 广西多源信息挖掘与安全重点实验室主任基金项目，广西壮族自治区高等学校科学研究项目（KY2015YB034） |
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| 摘 要： | 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和信号相交从而破坏包络的定义，在分析包络的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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| 关 键 词： | 经验模态分解 包络拟合 Hermite插值 模态混淆 |
| 收稿时间： | 2015-01-26 |
| 修稿时间： | 2016-03-25 |
New Envelope Definition and Fitting Method for EMD |
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| Mo Jia-ling,He Jing-wei,Hu Wei-ping and Hu Xi-yuan. New Envelope Definition and Fitting Method for EMD[J]. Application Research of Computers, 2016, 33(5) |
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| Authors: | Mo Jia-ling He Jing-wei Hu Wei-ping Hu Xi-yuan |
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| Affiliation: | College of Electronic Engineering,Guangxi Normal University,Guangxi Key Lab of Multi-source Information Ming Security,Guilin Guangxi,College of Electronic Engineering,Guangxi Normal University,Guangxi Key Lab of Multi-source Information Ming Security,Guilin Guangxi,,Institute of Automation,Chinese Academy of Sciences |
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| Abstract: | This paper presents a new fitting method of EMD envelope. It could calculate 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. The tangential points were then used 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. |
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| Keywords: | empirical mode decomposition envelope fitting Hermite interpolation mode mixing |
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