A new method for mitigation of end effect in empirical mode decomposition

Empirical mode decomposition(EMD) is a time-frequency analysis method for non-stationary and nonlinear signal. In the iteration process of EMD, at least one data point outside each end is required to build the spline. However, the extending data points which are not chosen properly will cause vibration and distortion phenomenon in EMD. In order to mitigate that end effect, a novel extrema points extending method is proposed: End mirror extending is used in high frequency, while least square polynomial extending is used in low frequency. Numerical result proves that the proposed method can mitigate the end effect in EMD effectively with minor decomposition error.

[1]  Mingxia He,et al.  A simple boundary process technique for empirical mode decomposition , 2004, IGARSS 2004. 2004 IEEE International Geoscience and Remote Sensing Symposium.

[2]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[3]  Yu Peng,et al.  Similarity searching based boundary effect processing method for empirical mode decomposition , 2007 .

[4]  Wei Wang,et al.  Boundary-processing-technique in EMD method and Hilbert transform , 2001 .

[5]  Zhao Zhidong,et al.  A New Method for Processing End Effect In Empirical Mode Decomposition , 2007, 2007 International Conference on Communications, Circuits and Systems.

[6]  Huang Da-ji,et al.  Mirror extending and circular spline function for empirical mode decomposition method , 2001 .