基于均生函数周期叠加外推法的EMD端点问题的研究  

End effect treatment for EMD based on the period superposition extrapolation of mean generating function

作　　者：李钊[1] 周晓军[1] 徐云[1] 

机构地区：[1]浙江大学机械工程学系,杭州310027

出　　处：《振动与冲击》2013年第15期138-143,共6页Journal of Vibration and Shock

摘　　要：HHT过程存在端点效应问题,针对端点效应的产生机理,并在研究现有端点效应处理方法的基础上,提出一种基于均生函数周期叠加外推法的端点延拓方法。通过构造信号序列的均生函数延拓矩阵,从中提取优势周期,将各周期叠加并作外延,来对信号端点外的数据进行预测。该方法克服了现有各种极值延拓方法仅参考两端点附近的有限个极值点的缺陷,并且相比其它数据预测延拓方法精度更高、算法简便且计算时间大大缩短。仿真和实例信号证明,该方法能够有效抑制端点效应。The end effect exists in HHT. According to the generation mechanism and the results in existing literatures, a method based on MGF period superposition extrapolation was proposed for dealing with the end effect. Through the construction of MGF matrix about the signal as well as the extraction, superposition and extension of advantage cycles the data were forecasted beyond the ends of the signal. The method can overcome the defect that only finite extremes near the ends are taken in use in the existing extreme extension methods. Compared with other prediction methods, it is more accurate and easy, and can save more time consuming in calculation. Simulations and real signals processing verify that the method can effectively inhibit the end effect.

关 键 词：EMD 端点效应 均生函数 HHT 

分 类 号：TH124[机械工程—机械设计及理论]