基于EEMD子带提取相关机械振动信号单通道盲源分离

孟 宗;蔡 龙

振动与冲击 ›› 2014, Vol. 33 ›› Issue (20) : 40-46.

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PDF(2054 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (20) : 40-46.
论文

基于EEMD子带提取相关机械振动信号单通道盲源分离

  • 孟 宗,蔡 龙
作者信息 +

Blind source separation of single-channel statistically correlated mechanical signals based on subband extraction of EEMD

  • MENG Zong,CAI Long
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摘要

针对传统独立分量分析难以解决机械故障诊断中存在的相关源信号盲分离、欠定盲分离等问题,在相关振源信号部分子带满足统计独立的假设前提下,提出基于总体经验模态分解子带提取相关机械源单通道盲源分离方法。该方法将单通道观测信号进行总体经验模态分解获得到子带观测信号,将单通道信号及子带观测信号组成新的多维信号,利用奇异值分解及贝叶斯准则估计源信号数目;据互信息标准与源信号数目选若干独立性较强的子带观测信号重构,实现信号升维;对重构的观测信号进行白化预处理及联合近似对角化,获得源信号估计。并仿真、实验验证该方法在机械故障诊断中的有效性。

Abstract

The traditional independent component analysis is too difficult to solve the problems of underdetermined blind source separation(BSS) and statistically correlated sources separation existed in mechanical fault diagnosis.Assuming some sub-components of correlated machine vibration sources are independent,a novel blind source separation method based on subband extraction of ensemble empirical mode decomposition(EEMD) is proposed to solve the problem of single-channel statistically correlated mechanical signals separation. Firstly in this method,the single-channel signal is decomposed into a series of subband observed signals by ensemble empirical mode decomposition,then the number of source signals is estimated by singular value decomposition and Bayesian information criterion.Secondly,the new observed signals are reconstructed by the subband observed signals with high independence according to the mutual information criterion and the number of sources,the dimension of the new observed signal is increased.Finally,The source signals are estimated through the reconstructed observed signals by using whitening process and joint approximate diagonalization.The simulation and experiment testify the validity of the proposed method.

关键词

盲源分离 / 相关机械源 / 总体经验模态分解 / 欠定

Key words

blind source separation / correlated mechanical sources / ensemble empirical mode decomposition / underdetermined

引用本文

导出引用
孟 宗;蔡 龙. 基于EEMD子带提取相关机械振动信号单通道盲源分离[J]. 振动与冲击, 2014, 33(20): 40-46
MENG Zong;CAI Long. Blind source separation of single-channel statistically correlated mechanical signals based on subband extraction of EEMD[J]. Journal of Vibration and Shock, 2014, 33(20): 40-46

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