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A Flexible Method for Envelope Estimation in Empirical Mode Decomposition

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Knowledge-Based Intelligent Information and Engineering Systems (KES 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4253))

Abstract

A flexible and efficient method for finding the envelope within the empirical mode decomposition (EMD) is introduced. Unlike the existing (deterministic) spline based strategy, the proposed envelope is a result of an optimisation precess and sought as a minimum of a quadratic cost function. A closed form solution of this optimisation problem is obtained and it is shown that by choosing free parameters, we can fine-tune the frequency resolution or the number of intrinsic mode functions (IMFs) as well as the shape of the envelopes. Computer simulations on both the synthetic and real-world electro-encephalogram (EEG) data support the analysis.

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References

  1. Huang, N.E., Shen, Z., Long, S.R., Wu, M.C., Shih, H.H., Zheng, Q., Yen, N.-C., Tung, C.C., Liu, H.H.: Empirical Mode Decomposition Method and the Hilbert Spectrum for Non-stationary Time Series Analysis. In: Proc. Roy. Soc. London. A454, pp. 903–995 (1998)

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  5. Rilling, G., Flandrin, P., Gonçalvés, P.: MATLAB codes for EMD, http://perso.ens-lyon.fr/patrick.flandrin/emd.html

  6. Lambert, M., Engroff, A., Dyer, M., Byer, B.: MATLAB codes for EMD, http://www.owlnet.rice.edu/~elec301/Projects02/empiricalMode/code.html

  7. Rutkowski, T.M., Vialatte, F.B., Cichocki, A., Mandic, D.P., Barros, A.K.: Auditory Feedback for Brain Computer Interface Management – An EEG Data Sonification Approach. In: Gabrys, B., Howlett, R.J., Jain, L.C. (eds.) KES 2006. LNCS, vol. 4253, pp. 1232–1239. Springer, Heidelberg (2006)

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Author information

Authors and Affiliations

  1. Brain Science Institute, RIKEN, 2-1, Hirosawa, Wako-shi, Saitama, 351-0198, Japan

    Yoshikazu Washizawa, Toshihisa Tanaka & Andrzej Cichocki

  2. Department of Electrical and Electronic Engineering, Tokyo University of Agriculture and Technology, 2-24-16, Nakacho, Koganei-shi, Tokyo, 184-8588, Japan

    Toshihisa Tanaka

  3. Department of Electrical and Electronic Engineering, Imperial College London, SW7 2BT, United Kingdom

    Danilo P. Mandic

Authors
  1. Yoshikazu Washizawa
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  2. Toshihisa Tanaka
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  3. Danilo P. Mandic
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  4. Andrzej Cichocki
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Editor information

Editors and Affiliations

  1. School of Design, Engineering and Computing, Bournemouth University, UK

    Bogdan Gabrys

  2. Centre for SMART Systems, School of Environment and Technology, University of Brighton, BN2 4GJ, Brighton, UK

    Robert J. Howlett

  3. School of Electrical and Information Engineering, Knowledge Based Intelligent Engineering Systems Centre, University of South Australia, Mawson Lakes, 5095, SA, Australia

    Lakhmi C. Jain

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© 2006 Springer-Verlag Berlin Heidelberg

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Washizawa, Y., Tanaka, T., Mandic, D.P., Cichocki, A. (2006). A Flexible Method for Envelope Estimation in Empirical Mode Decomposition. In: Gabrys, B., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2006. Lecture Notes in Computer Science(), vol 4253. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11893011_158

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  • DOI: https://doi.org/10.1007/11893011_158

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46542-3

  • Online ISBN: 978-3-540-46544-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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