J4 ›› 2008, Vol. 19 ›› Issue (7): 0-761.

• 科学基金 •    

小波基TVAR建模时频分析及在故障诊断中的应用

王胜春1;韩捷2;李剑峰3;李志农2   

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2008-03-10 发布日期:2008-03-10

Adaptive TVAR Time-frequency Analysis Based on Wavelet and Its Application in Fault Diagnosis

Wang Shengchun1;Han Jie2;Li Jianfeng3;Li Zhinong2   

  • Received:1900-01-01 Revised:1900-01-01 Online:2008-03-10 Published:2008-03-10

摘要:

研究了非平稳信号的时变自回归建模方法,提出了应用小波基函数将非平稳时变参数的辨识转化为线性时不变问题的辨识,在此基础上,应用带遗忘因子的递归最小二乘算法进行参数估计,实现了信号的自适应时频分析。通过仿真算例将该法与短时傅里叶变换、Wigner分布的结果相比较,验证了该方法时频分辨率高的优越性。最后,将该方法应用于轴承的故障诊断,结果表明,该方法用于故障诊断的特征提取是有效的。

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关键词: 时变自回归模型;小波基;参数估计; 时频分析; 故障诊断

Abstract:

Time-varying autoregressive (TVAR) modeling method of non-stationary signal was studied. In the proposed method, time-varying parametric identification of non-stationary signal can be translated into a linear time-invariant problem by introducing a set of wavelet basis functions. Then, the parameters were estimated using recursive least square algorithm with a forgetting factor and the adaptive time-frequency analysis was achieved. The simulation results show that the proposed approach is superior to the short time Fourier transform and Wigner distribution. At last, the proposed method is applied to the fault diagnosis of bearing,and experimental result shows the proposed method is effective in feature extraction.

Key words: time-varying autoregressive model, wavelet base, parameter estimation, time-frequency distribution, fault diagnosis

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