Restriction of the end effect of EMD by utilizing slope and cubic spline based methods

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (14) : 70-76.

LIANG Liming1,2，WANG Maozhi1,2，XU Wenxi1,2，TAN Mengting1,2，ZHANG Mingyue1,2，WANG Shangkun1,2

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Abstract

The end effect will influence the results of empirical mode decomposition (EMD) during the processing of intrinsic mode function (IMF) extraction. In this paper, a new end condition method combined with the idea of improved slope based method (ISBM) and cubic spline based method (CSBM) is proposed. The novelty of this new method lies in that the slope ratio is defined as the tendency of the signal, further to set the coordinates of the extended points combined with the tendency of the signal and its envelope, which can overcome the deficiency of CSBM when setting the values of the extended points. Four different analog signals, two signals from engineering applications, and three performance criteria, i.e., orthogonal index, mean square error and energy error, are selected to evaluate the new method compared with ISBM and CSBM. Experimental results indicate that, overall, the performance of the proposed method is better than that of CSBM and ISBM.
Key words: empirical mode decomposition; the end effect; slope; cubic spline; extension

Key words

empirical mode decomposition / the end effect / slope / cubic spline / extension

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LIANG Liming1,2，WANG Maozhi1,2，XU Wenxi1,2，TAN Mengting1,2，ZHANG Mingyue1,2，WANG Shangkun1,2. Restriction of the end effect of EMD by utilizing slope and cubic spline based methods[J]. Journal of Vibration and Shock, 2022, 41(14): 70-76

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