Method for determining the effective rank of SVD denoising

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Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (12) : 176-180.

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Method for determining the effective rank of SVD denoising

WANG Jian-guo，LI Jian，LIU Ying-yuan

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Abstract

A new effective method is presented to solve denoising based on difference spectrum unilateral maxima of singular value.In order to improve the signal-to-noise ratio of the rotating equipment fault signal. In order to improve the signal-to-noise ratio of the rotating equipment fault signal. Firstly, the phase space reconstruction Hankel matrix of the original vibration signal, and then the trajectory attractor matrix was decomposed by using Singular Value Decomposition. Finally，according to the difference spectrum unilateral maxima principle of singular value to determine the reconstruction order of singular value．Though numerical simulation and the practical application of the bearing failure data analysis. The results show that the method can effectively improve the signal-to-noise ratio of the signal, and create obvious advantage for late fault characteristic signal extraction.

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noise reduction　 singular value decomposition Hankel matrix unilateral maxima principle

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WANG Jian-guo;LI Jian;LIU Ying-yuan. Method for determining the effective rank of SVD denoising[J]. Journal of Vibration and Shock, 2014, 33(12): 176-180