The optimization of Morlet wavelet scale based on energy spectrum of singular value

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (15) : 133-139.

Geng Yubin , Zhao Xuezhi

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Abstract

Acccording to the fact that the scale has a tremendous impact on the result of Morlet wavelet transform, a method based on energy spectrum of singular value is proposed to optimize Morlet wavelet scale and extract fault feature. Firstly, Shannon entropy is used to optimize the central frequency and bandwidth parameter of the Morlet wavelet. According to the situation that there is no clear minimum value in the calculation result of Shannon entropy, Morlet wavelet decomposition results with different parameters are compared to obtain the optimal wavelet parameter. Then, the effective scale ranges are chosen to do Morlet wavelet transform according to the relationship between practical frequency and wavelet scale parameter. Finally, the wavelet coefficients at each scale are decomposed into singular values and the energy spectrum of singular value is calculated. The optimal scale is obtained by choosing the maximum in energy spectrum, and then the fault feature can be extracted. The experimental results and analysis results of rolling bearing signals show that the proposed method overcomes the disadvantages of previous methods and has good effect in fault feature extraction when signal-to-noise ratio(SNR) is low.

Key words

Morlet wavelet / Shannon entropy / Energy spectrum of singular value / Feature extraction.

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Geng Yubin,Zhao Xuezhi. The optimization of Morlet wavelet scale based on energy spectrum of singular value[J]. Journal of Vibration and Shock, 2015, 34(15): 133-139

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