New Process Method for End Effects

of HILBERT-HUANG Transform

HU Aijun  AN Liansuo  TANG Guiji

(Department of Mechanical Engineering, North China Electric Power University, Baoding 071003)

Abstract: The HILBERT-HUANG transform consists of two steps: empirical mode decomposition (EMD) and HILBERT transform. The end effects produce both in the decomposition process of EMD and HILBERT transforms applied to the intrinsic mode functions (IMFs). A novel wave characteristic matching extending method is proposed to overcome the end effects of EMD and HILBERT transform. Therefore, the decomposition precision is improved, the accurate instantaneous frequencies and instantaneous amplitudes could be obtained. The extending data derived from the original signal by the simple algorithm, only once extending needed in HILBERT-HUANG transform processing. The simulation and fault test analysis demonstrate the effectiveness of the method.

Key words: HILBERT-HUANG transform Characteristic matching End effects Empirical mode decomposition Fault diagnosis

CLC No: TN911

国家自然科学基金资助项目(50677017). Received 20070313, received in revised form 20070909

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