一种应用自项抑制魏格纳分布交叉项的方法  

A Method to Suppress the Cross terms in Wigner-Ville Distribution Using Auto Terms

作　　者：刘文艺[1] 汤宝平[1] 陈仁祥 蒋永华[1] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400030

出　　处：《中国机械工程》2009年第21期2613-2616,共4页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(50875272;50735008);霍英东教育基金会11届青年教师基金资助项目(111057);教育部留学回国人员启动基金资助项目(教外司留(2008)-5)

摘　　要：在分析Wigner-Ville分布(WVD)自项和交叉项关系的基础上,提出了一种采用平滑伪魏格纳分布(SPWVD)谱抑制交叉项的方法。该方法首先计算信号的SPWVD,进而求取SPWVD谱,然后用SPWVD谱代替信号的自项,作为窗函数对信号的WVD进行处理。这里SPWVD谱不仅起到有效移除WVD交叉项的作用,还可以增强自项,起到自身定位的作用。最后通过实验和故障诊断实例验证了该方法的有效性。Based on the relationship among the auto terms and the cross terms of WVD, a new method for time--frequency representation（TFR） of a signal was proposed, which used the SPWVD spectrum as the auto terms to suppress the cross terms. Firstly, the SPWVD of the signals to be analyzed was calculated. Secondly, the SPWVD spectrum was selected to replace the auto terms. Lastly, the SPWVD spectrum was used as a window function to remove the cross terms in WVD. The proposed method can remove the cross terms efficiently, and reserve most advantages of WVD at the same time. The simulation and experimental results show that the proposed method is a validity tool for TFR of multi--component non--stationary signals.

关 键 词：Wigner-Ville分布(WVD) 交叉项 自项 平滑伪魏格纳分布(SPWVD) 

分 类 号：TN911.7[电子电信—通信与信息系统]