Research on a Hybrid Time-frequency Method based on the optimal Morlet wavelet and Auto terms Window

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Journal of Vibration and Shock ›› 2010, Vol. 29 ›› Issue (9) : 5-8,27.

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Research on a Hybrid Time-frequency Method based on the optimal Morlet wavelet and Auto terms Window

Liu Wenyi;Tang Baoping; Chen Renxiang

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Abstract

A new hybrid time-frequency method was put forward in this paper based on the optimal Morlet wavelet and auto terms window. The Morlet wavelet, for its shape was similar to the mechanical shock signals, was improved by adding two parameters which decided the shape of the mother wavelet. The added parameters and the appropriate scale parameter for the continuous wavelet transformation were designed by the Cross Validation method and the Minimum Shannon Entropy method. Then, the useful components of the signal analyzed can be obtained by the improved Morlet wavelet de-noising method. Finally, the auto terms window based on the Smoothed Pseudo Wigner-Ville distribution (SPWVD) spectrum was used as a window function to remove the cross terms in Wigner-Ville distribution (WVD). The simulation and fault diagnosis experimental results show that the proposed method has a good de-nosing performance and is effective in removing the cross terms and fault feature extraction.

Key words

Hybrid time-frequency method / Wavelet de-noising / auto term windows / Morlet wavelet / Wigner-Ville distribution

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Liu Wenyi;Tang Baoping;Chen Renxiang. Research on a Hybrid Time-frequency Method based on the optimal Morlet wavelet and Auto terms Window[J]. Journal of Vibration and Shock, 2010, 29(9): 5-8,27