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MIRROR EXTENDING AND CIRCULAR SPLINE FUNCTION FOR EMPIRICAL MODE DECOMPOSITION METHOD
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ZHAO Jin-ping, HUANG Da-ji. MIRROR EXTENDING AND CIRCULAR SPLINE FUNCTION FOR EMPIRICAL MODE DECOMPOSITION METHOD[J]. Journal of Zhejiang University Science A, 2001, 2(3): 247-252.
@article{title="MIRROR EXTENDING AND CIRCULAR SPLINE FUNCTION FOR EMPIRICAL MODE DECOMPOSITION METHOD",
author="ZHAO Jin-ping, HUANG Da-ji",
journal="Journal of Zhejiang University Science A",
volume="2",
number="3",
pages="247-252",
year="2001",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2001.0247"
}
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%T MIRROR EXTENDING AND CIRCULAR SPLINE FUNCTION FOR EMPIRICAL MODE DECOMPOSITION METHOD
%A ZHAO Jin-ping
%A HUANG Da-ji
%J Journal of Zhejiang University SCIENCE A
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%N 3
%P 247-252
%@ 1869-1951
%D 2001
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2001.0247
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T1 - MIRROR EXTENDING AND CIRCULAR SPLINE FUNCTION FOR EMPIRICAL MODE DECOMPOSITION METHOD
A1 - ZHAO Jin-ping
A1 - HUANG Da-ji
J0 - Journal of Zhejiang University Science A
VL - 2
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SP - 247
EP - 252
%@ 1869-1951
Y1 - 2001
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2001.0247
Abstract: The Mirror Extending (ME) approach is proposed in this paper for solving the end extending issue in the empirical mode decomposition (EMD) method. By this approach, the data is extended into a closed circuit without end. The derivatives on ends are not necessary any more for Spline fitting. The approach eliminates the possible problems in reliability and uniqueness in the original extending approach of the EMD method. In the ME approach only one extending is necessary before the data analysis. A theoretical criterion is proposed here for checking the extending approach. ME approach has been proved to satisfy the theoretical criterion automatically and permanently. This approach makes the EMD method reliable and easy to follow.
[1] Chan, Y. T., 1995. Wavelet basics. Kluwer, Boston.
[2] Deng Yongjun, Wang Wei, Qian Chengchun, et al., 2001. An approach for ends issue in EMD method and Hilbert Transform. Chinese Science Bulletin, 46(3):257-263(in Chinese).
[3] Esch, R., 1974. Functional approximation. In: Handbook of Applied Mathematics, (Ed. by C. E. Pearson), Van Nostrand Reinhold Company.
[4] Huang, N. E., Shen Z., Long S. R., et al., 1998. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc. R. Soc. Lond, 454:903-995.
[5] Jaeger, J. G., A. M. Starfield, 1974. An Introduction to Applied Mathematics. Second edition, Oxford University Press, Ely House, London, 504p.
[6] Salvino, L., Navsea, C. Empirical Mode Decomposition and time-frequency analysis. (http://saviac.xservices.com/sv71abs/salvino.html)
[7] Vincent, B., Hu, J., abd Hou, Z., 1999. Damage Detection Using Empirical Mode Decomposition Method and a Comparison with Wavelet Analysis, Proceedings of the Second International Workshop on Structural Health Monitoring. Stanford, p.891-900.
[8] Xie, L., Kejian Wu, Pietrafesa, L. J., 2000. Empirical modes of landfalling tropical cyclones in North Carolina. The 24th Conference on Hurricanes and Tropical Meteorology, p.168.
[9] Zhu,X., Shen Z., Eckermann S.D., et al., 1997. Gravity wave characteristics in the middle atmosphere derived from the empirical mode decomposition method. J Geophys Res, 102(D14):16; 545.
Open peer comments: Debate/Discuss/Question/Opinion
<1>
DongTaifeng@PhD.<dtf01040105@163.com>
2010-10-25 19:17:55
using the EMD method