A New Method of Processing the Boundary Problem in the Empirical Mode Decomposition(EMD)

DU Xiu-li; HE Li-zhi

Journal of Beijing University of Technology > 2009 > 35(5): 626-632.

DU Xiu-li, HE Li-zhi. A New Method of Processing the Boundary Problem in the Empirical Mode Decomposition(EMD)[J]. Journal of Beijing University of Technology, 2009, 35(5): 626-632.

Citation:

DU Xiu-li, HE Li-zhi. A New Method of Processing the Boundary Problem in the Empirical Mode Decomposition(EMD)[J]. Journal of Beijing University of Technology, 2009, 35(5): 626-632.

Citation:

DU Xiu-li, HE Li-zhi. A New Method of Processing the Boundary Problem in the Empirical Mode Decomposition(EMD)[J]. Journal of Beijing University of Technology, 2009, 35(5): 626-632.

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A New Method of Processing the Boundary Problem in the Empirical Mode Decomposition(EMD)

DU Xiu-li¹,
HE Li-zhi²

1. The Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China;
2. MaisonWorleyParsons(Beijing) E&T Co. Ltd, Beijing 100016, China

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Received Date: June 27, 2007
Available Online: December 06, 2022

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Based on deeply studying and analyzing Hilbert-Huang transform(HHT), a so-called semiperiodical -semi-symmetrical method is presented in this paper to deal with the boundary problem resulting in error during the process of the empirical mode decomposition(EMD).It is proved that this method is very valid and has high precision by many experiments of signal simulations and comparison between the results from this method and those from the EMD method.

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[2]	HUANG N E, LONG S R, et al.A new view of nonlinear water waves:the Hilbert spectrum[J].Annual Review of Fluid Mechanics, 1999, 31:417-457.
[3]	张郁山, 梁建文, 胡聿贤.应用自回归模型处理EMD中的边界问题[J].自然科学进展, 2003, 13(10):1054-1059. ZHANG Yu-shan, LIANG Jian-wen, HU Yu-xian.Application of AR model to boundary problem in EMD[J].Progress in Natural Science, 2003, 13(10):1054-1059.(in Chinese)
[4]	HUANG N E.Computer implicated empirical mode decomposition method, apparatus, and article of manufacture:U.S., 5 983 162[P].1999-11-09.
[5]	HUANG N E, et al.A new spectral representation of earthquake data:Hilbert spectral analysis of station TCU 129, ChiChi, Taiwan, 21, September 1999[J].Bull Soc Seism Am, 2001, 91(5):1310-1338.
[6]	邓拥军, 王伟, 钱成春, 等.EMD方法及Hilbert变换中的边界问题的处理[J].科学通报, 2001, 46(3):257-263. DENG Yong-jun, WANG Wei, QIAN Cheng-chun, et al.Management of boundary problem in EMD and HHT[J].Chinese Science Bulletin, 2001, 46(3):257-263.(in Chinese)
[7]	杜爱明, 王彬, 杨润海.Hilbert-Huang变换中的一种端点处理方法[J].地震研究, 2007, 30(1):54-58. DU Ai-ming, WANG Bin, YANG Run-hai.A boundary-processing method in Hilbert-Huang transform[J].Journal of Seismological Research, 2007, 30(1):54-58.(in Chinese)
[8]	HUANG D J, ZHAO J P, SU J L.On the end extending in the Hilbert-Huang transform[J].Coastal Oceanography of Asian Seas, 1999, 1:81-92.

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