基于均生函数周期叠加外推法的EMD端点问题的研究

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，提出了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。

Research in the end issue of EMD based on mean generating functionperiod superposition extrapolation

The end effect exists in HHT. According to the generation mechanism and through the research in the existing method of the end effect, a method based on Mean Generating Function (MGF) period superposition extrapolation is proposed for the end effect. Through the construction of the MGF matrix about the signal, extract the advantage cycle, superposition and extension, then it can be used to forecast the data beyond the ends of the signal. This method can overcome the defect that only finite extremes near the ends are used in the existing extreme extension methods. What’s more, compared with other prediction methods, it is more accurate and easy, and can save more time of calculation. It is verified from the simulation and real signal that this method can effectively inhibit the end effect.