Envelope sparse recovery algorithm of stay cable vibration signal

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (23) : 187-193.

Xu jingmei Ye qingwei Wang xiaodong Zhou yu

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Abstract

Empirical mode decomposition in a lot of fields has extensive application value,such as in fault diagnosis, signal de-noising and trend prediction and trend to eliminate.The key of empirical mode decomposition technique is to extract the envelope,which directly affects the result of the effect of decomposition.Currently used envelopment analysis in the signal processing with Envelopment analysis has Hilbert transform,generalized detection filtering,cubic spline interpolation and modeling of partial differential equations,etc.However,the disadvantages of these methods are the low accuracy the envelope and the end effect,etc,especially the effects of jitter end leads to large envelope extraction error.The paper regards the extreme points of the signal as sampling points of sparse signal on a transform domain,introduces sparse optimization algorithms to extract the envelope.First,study the smooth change characteristics of the envelope,to construct a variable frequency DCT sparse base;secondly solving extreme points of the signal and treating the extreme points of the signal as observations sparse optimization,then using orthogonal matching pursuit algorithm for sparse recovery to extract the signal envelope.Finally,the actual stay cable vibration signal algorithm testing and applications,through a comparative analysis with the cubic spline interpolation method,the results show that the proposed algorithm can not only improve the accuracy of extracting signal envelope but also can effectively inhibit the end effect.

Key words

Empirical Mode Decomposition / Hilbert transform / cubic spline interpolation / sparse recovery / end effect

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Xu jingmei Ye qingwei Wang xiaodong Zhou yu. Envelope sparse recovery algorithm of stay cable vibration signal[J]. Journal of Vibration and Shock, 2015, 34(23): 187-193

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