Research on feature extraction methods based on Singular Value Decomposition

Duan Xiangyang;Wang Yongsheng;Su Yongsheng

Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (11) : 30-33.

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PDF(2041 KB)
Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (11) : 30-33.
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Research on feature extraction methods based on Singular Value Decomposition

  • Duan Xiangyang;Wang Yongsheng;Su Yongsheng

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Abstract

Abstract: Singular values reflect the energy distribution of wanted signal and noise, the characteristic signal which implicates in noise can be extracted by singular value decomposition (SVD). The feature extraction method in strong background noise based on SVD was presented. The research shows that the distribution of singular values tends to a line with the lowerrng of Signal Noise Ratio (SNR), so the characteristic signal is difficult to separate and extract. The distribution range of the singular values which reflect the energy of noise is extended by increasing the singular value decomposition order , so the energy of noise is dispersed, and the singular values which reflect the energy of wanted signal is well-marked, and so it is favourable to the extraction of the characteristic signal. The feasibility of the method are validated by simulation testing and fault analysis example.

Key words

decomposition (SVD) / numerical simulate / feature extraction / fault diagnosis

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Duan Xiangyang;Wang Yongsheng;Su Yongsheng. Research on feature extraction methods based on Singular Value Decomposition[J]. Journal of Vibration and Shock, 2009, 28(11): 30-33
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