基于最优Morlet小波和自项窗的混合时频分析方法研究

刘文艺;汤宝平;陈仁祥

振动与冲击 ›› 2010, Vol. 29 ›› Issue (9) : 5-8,27.

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PDF(1330 KB)
振动与冲击 ›› 2010, Vol. 29 ›› Issue (9) : 5-8,27.
论文

基于最优Morlet小波和自项窗的混合时频分析方法研究

  • 刘文艺;汤宝平;陈仁祥
作者信息 +

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

  • Liu Wenyi;Tang Baoping; Chen Renxiang
Author information +
文章历史 +

摘要

提出了一种基于最优Morlet小波和自项窗的混合时频分析方法。对和机械冲击信号波形相似度较高的Morlet小波进行改进,采用交叉验证法和Shannon熵方法设计了改进Morlet小波参数和小波变换尺度,对信号进行连续小波变换(CWT)以实现滤波消噪;然后,设计了自适应自项窗函数,对Wigner-Ville分布(WVD)交叉项进行移除,消除WVD交叉项的干扰。仿真和实验验证了本文提出的方法可以有效地对含噪信号进行滤波消噪,并可以有效地去除WVD中干扰项的影响,提高时频分析的分辨率和能量聚集性。

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.

关键词

小波消噪 / Morlet小波 / 自项窗 / 混合时频分析 / Wigner-Ville分布(WVD)

Key words

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

引用本文

导出引用
刘文艺;汤宝平;陈仁祥. 基于最优Morlet小波和自项窗的混合时频分析方法研究[J]. 振动与冲击, 2010, 29(9): 5-8,27
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

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