A novel approach for end effect processing of empirical mode decomposition

被引:0
作者
机构
[1] School of Software Engineering, Chongqing University, Chongqing
[2] State Key Laboratory of Mechanical Transmission of Chongqing University, Chongqing
关键词
Empirical mode decomposition; End effect; Partial differential equation; Signal process;
D O I
10.4156/jcit.vol7.issue19.3
中图分类号
学科分类号
摘要
The end effect appears as a troublesome problem in application of empirical mode decomposition (EMD) to decompose the complex signal into the sum of limited number of IMFS. A novel end effect processing method is proposed to solve this problem. By studying on physical property of the heat conductivity equation, end effect processing method based on PDE is proposed. The extrapolation of the signal through PDE at both endpoints to form the primary expansion signal, then the primary signal is further expanded through expansion, and EMD is performed on the resulting signal to obtain reduced end effects. With the proposed method, the end effect can be controlled in both ends of the signal and the middle component can be correctly decomposed. Experiments on simulative and real signals verify that the proposed method can enormously decrease the end effect of EMD.
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页码:21 / 29
页数:8
相关论文
共 16 条
  • [1] Lin D.-C., Guo Z.-L., An F.-P., Zeng F.-L., Elimination of end effects in empirical mode decomposition by mirror image coupled with support vector regression, Mechanical Systems and Signal Processing, 31, pp. 13-28, (2012)
  • [2] Chang H.-J., Pai M.-C., Jia Goo Y., Hsu S.-C., A Reinterpretation of Empirical Mode Decomposition using Spectral Analysis Signal Reconstruction Method: Applications for Price Discovery of Futures and Spot Prices on WTI, JCIT: Journal of Convergence Information Technology, 6, 3, pp. 132-145, (2011)
  • [3] Qi K., He Z., Zi Y., Cosine window-based boundary processing method for EMD and its application in rubbing fault diagnosis, Mechanical Systems and Signal Processing, 21, 7, pp. 2750-2760, (2007)
  • [4] Hong-Bin T., Yun-Xin W., Zhi-Qi L., Fault Diagnosis of Hydraulic Pump Bearing Based on EMD and Envelope Spectrum, JDCTA, 5, 12, pp. 28-34, (2011)
  • [5] Huang N.E., Shen Z., Long S.R., Wu M.L., Shih H.H., Zheng Q., Yen N.C., Tung C.C., Liu H.H., The empirical mode decomposition and Hilbert spectrum for nonlinear and non-stationary time series analysis, pp. 903-995, (1998)
  • [6] Cheng J., Yu D., Yang Y., Application of support vector regression machines to the processing of end effects of Hilbert-Huang transform, Mechanical Systems and Signal Processing, 21, 3, pp. 1197-1211, (2007)
  • [7] Wu F., Qu L., An improved method for restraining the end effect in empirical mode decomposition and its applications to the fault diagnosis of large rotating machinery, Journal of Sound and Vibration, 314, 3, pp. 586-602, (2008)
  • [8] Li L., Ting Z., Lun Y., Edge Effect Processing Technique in EMD Algorithm, Computer Engineering, 35, 23, pp. 265-268, (2009)
  • [9] Rilling G., Flandrin P., Goncalyes P., On empirical mode decomposition and its algorithms, pp. 8-11, (2003)
  • [10] Feng K., Zhang X., Li X., A Novel Method of Medical Image Fusion Based on Bidimensional Empirical Mode Decomposition, JCIT: Journal of Convergence Information Technology, 6, 12, pp. 84-91, (2011)