Full Text:   <2051>

CLC number: O212.4

On-line Access: 

Received: 2001-03-14

Revision Accepted: 2000-05-20

Crosschecked: 0000-00-00

Cited: 14

Clicked: 4766

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

Journal of Zhejiang University SCIENCE A 2001 Vol.2 No.3 P.247~252

http://doi.org/10.1631/jzus.2001.0247


MIRROR EXTENDING AND CIRCULAR SPLINE FUNCTION FOR EMPIRICAL MODE DECOMPOSITION METHOD


Author(s):  ZHAO Jin-ping, HUANG Da-ji

Affiliation(s):  Second Institute of Oceanography, State Oceanic Administration, Hangzhou, 310012, China

Corresponding email(s):   jpzhaog@yahoo.com

Key Words:  empirical mode decomposition, mirror extension, circular Spline function, time series analysis, time-frequency domain


Share this article to: More

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"
}

%0 Journal Article
%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
%V 2
%N 3
%P 247~252
%@ 1869-1951
%D 2001
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2001.0247

TY - JOUR
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
IS - 3
SP - 247
EP - 252
%@ 1869-1951
Y1 - 2001
PB - Zhejiang University Press & Springer
ER -
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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[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

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - Journal of Zhejiang University-SCIENCE