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

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (15) : 138-143.

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

LI Zhao , ZHOU Xiao-jun , XU Yun

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Abstract

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.

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EMD / end effect / Mean Generating Function / HHT

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LI Zhao;ZHOU Xiao-jun;XU Yun. Research in the end issue of EMD based on mean generating functionperiod superposition extrapolation[J]. Journal of Vibration and Shock, 2013, 32(15): 138-143