Processing Method for  Hilbert-Huang Transform End Effects Self-Adaptive Endpoint-Phase Sinusoidal Extension

Abstract

Abstract: For the Hilbert-Huang Transform(HHT) endpoint effect problem, a self-adaptive method of endpoint-phase sinusoidal extension was presented. This method adaptively adds sinusoidal extension function of phase, amplitude and frequency to improve decomposition precision according to the data trend near the end. Then the object function to represent empirical mode decomposition(EMD) performance was introduced to satisfy the pertinence precision between intrinsic mode function(IMF) and original signal and low iterations of EMD. The boundary extension parameter decomposition is an adaptive process with better practicability. The simulation and example of hydraulic system show that this approach can not only solve HHT end effect, but also improve EMD decomposition precision with less filtration and reduce Hilbert spectrum end effect. Finally, it can extract the fault characteristics of gear pump vibration signal and get a good application effect.

Key words: empirical mode decomposition (EMD), end effects, endpoint extension, fault diagnosis

CLC Number:

TP 274
TH 17

LI Fang-Xi, CHEN Gui-Ming, LIU Xi-Liang, ZHANG Qian, LI Sheng-Chao. Processing Method for Hilbert-Huang Transform End Effects Self-Adaptive Endpoint-Phase Sinusoidal Extension[J]. Journal of Shanghai Jiaotong University, 2013, 47(04): 594-601.

References

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Processing Method for Hilbert-Huang Transform End Effects Self-Adaptive Endpoint-Phase Sinusoidal Extension

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