改进的EEMD算法及其应用研究

郑近德 程军圣 杨宇

振动与冲击 ›› 2013, Vol. 32 ›› Issue (21) : 21-26.

PDF(2226 KB)
PDF(2226 KB)
振动与冲击 ›› 2013, Vol. 32 ›› Issue (21) : 21-26.
论文

改进的EEMD算法及其应用研究

  • 郑近德 程军圣 杨宇
作者信息 +

Research on Modified EEMD Algorithm and Its Applications

  • ZHENG Jin-de CHENG Jun-sheng YANG Yu
Author information +
文章历史 +

摘要

总体平均经验模态分解(Ensemble EMD,EEMD)虽然能够在一定程度上抑制模态混淆,但计算量较大,添加的白噪声不能被完全中和,不具有完备性。补充的EEMD(Complementary EEMD, CEEMD)成对地添加符号相反的白噪声到目标信号,大大减小了重构误差。论文结合CEEMD和基于排列熵的信号随机性检测,提出了改进的EEMD方法(Modified EEMD,MEEMD),MEEMD方法在检测出CEEMD分解的异常分量之后,直接进行EMD分解;MEEMD不仅能够抑制EMD分解过程中的模态混淆,而且减小了计算量,缩小了重构误差。通过分析仿真信号和实测信号,结果表明,MEEMD方法有很好的分解效果,对模态混淆有一定的抑制作用。

Abstract

Ensemble empirical mode decomposition (EEMD) can restrain the mode mixing of EMD in a certain extent, however, the trade-offs are increasing the calculation and losing the completeness for the white noise unneutralized completely. Complementary EEMD (CEEMD) adds the white noises in pairs, which can obtain the same results as the EEMD, but the white noises added are neutralized completely. Based on the research of CEEMD and permutation entropy for randomicity detecting, a modified EEMD (MEEMD) is present in this paper. MEEMD decomposes the data using the EMD after the abnormal components are separated using ensemble and average method, and not only can restrain the mode mixing effectively, but also can narrow the reconstruction error and decrease the computation amount. By analyzing the simulation and real signals, the results indicate that MEEMD is feasible and effective in restraining mode mixing of EMD.

关键词

EMD / 模式混淆 / CEEMD / 排列熵 / MEEMD

Key words

EMD / mode mixing / CEEMD / permutation entropy / MEEMD

引用本文

导出引用
郑近德 程军圣 杨宇. 改进的EEMD算法及其应用研究[J]. 振动与冲击, 2013, 32(21): 21-26
ZHENG Jin-de CHENG Jun-sheng YANG Yu. Research on Modified EEMD Algorithm and Its Applications[J]. Journal of Vibration and Shock, 2013, 32(21): 21-26

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