A Maximal Correlation Waveform Extension Method for End Effects Reduction of Empirical Mode Decomposition

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (2) : 62-66.

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A Maximal Correlation Waveform Extension Method for End Effects Reduction of Empirical Mode Decomposition

GAO Qiang 1，DUAN Chendong 1，ZHAO Yanqing 1，Song Weizhi 1

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Abstract

Empirical mode decomposition (EMD) is an adaptive time-frequency analysis method, which is widely used in non-stationary and non-linear signal analyzing. However, end effects reduce the precision of empirical mode decomposition greatly. In this paper, a new method, maximal correlation waveform extension (MCWE), is proposed to decrease the end effects of empirical mode decomposition. In MCWE an end waveform including some data is shifted to the other end of the signal waveform to seek the most similar waveform whose correlation coefficient with the former is maximal, then the outboard waveform of the found one is regarded as the estimation of the outboard waveform of this end. A simulation signal and a practical vibration signal of an air compressor from a petroleum refinery are applied to test the performance of MCWE. The results show that the proposed new method can reduce end effects of empirical mode decomposition and improve its precision significantly, especially for period signals and cyclostationary signals. Moreover, the MCWE can be applied to diminish end effects of other signal processing methods, such as digital filtering and wavelet analysis, therefore it is universal and useful for engineering applications.

Key words

empirical mode decomposition / end effects / time-frequency analysis / signal processing

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GAO Qiang;DUAN Chendong;ZHAO Yanqing;Song Weizhi . A Maximal Correlation Waveform Extension Method for End Effects Reduction of Empirical Mode Decomposition[J]. Journal of Vibration and Shock, 2013, 32(2): 62-66