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Enhanced Empirical Mode Decomposition

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5073))

Abstract

Empirical mode decomposition (EMD) associated with the Hilbert-Huang transform (HHT) deconstructs a time-series signal into a set of monocomponent signals called intrinsic mode functions (IMF). EMD also acts as a filter limiting the frequency range of each IMF. EMD filtering is less than ideal and can lead to misleading results. This difficulty is ameliorated by first subjecting the time-series to bandpass filtration, where the pass-band frequency range is sufficiently narrow that the entire pass-band is captured in a single IMF. A series of such filtrations are required to treat a multicomponent signal. This approach avoids partial representation of those frequencies at the crossover between two successive IMF’s. Bandpass enhanced EMD is applied to a bat chirp signal. That the fundamental, the first, second, and part of the third harmonic are expressed, demonstrates the improved sensitivity of this method over the standard HHT approach. The fundamental and harmonics of this chirp have an exponential form with a decay rate proportional to the square root of the time.

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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.: The empirical mode decomposition and the Hilbert spectrum for nonlinear and nonstationary time series analysis. Proceedings of the Royal Society of London, Series A, Mathematical, Physical and Engineering Sciences 454, 903–995 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  2. Huang, N.E., Wu, M.L., Qu, W.D., Long, S.R., Shen, S.S.P. (eds.): Hilbert-Huang Transform and Its Applications. World Scientific, Singapore (2003)

    Google Scholar 

  3. Donnelly, D.: The Fast Fourier and Hilbert-Huang Transforms: A Comparison. International Journal of Computers, Communications & Control I(4), 45–52 (2006)

    Google Scholar 

  4. Rilling, G., Flandrin, P., Goncalves, P.: On Empirical Mode Decomposition and its algorithms. In: IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing NSIP 2003, Grado (I) (2003)

    Google Scholar 

  5. Phillips, S.C., Gledhill, R.J., Essex, J.W.: Application of the Hilbert-Huang Transform to the Analysis of Molecular Dynamics Simulations. J. Chem. Phys. A 27(24), 4869–4876 (2003)

    Article  Google Scholar 

  6. Datig, M., Schlurmann, T.: Performance and limitations of the Hilbert-Huang transformation (HHT) with an application to irregular water waves. Ocean Eng. 31(14-15), 1783–1834 (2004)

    Article  Google Scholar 

  7. Flandrin, P., Rilling, G., Goncalves, P.: Empirical mode decomposition as a filter bank. Signal Processing Letters, IEEE, Part 1, 11(2), 112–114 (2004)

    Article  Google Scholar 

  8. Huang, N., et al.: A Confidence Limit for the Empirical Mode Decomposition and Hilbert Spectral Analysis. Proc. Royal Soc. A 459(2037), 2317–2345 (2003)

    Article  MATH  Google Scholar 

  9. Zhang, R.R., Ma, S., Safak, E., Hartzell, S.: Hilbert-Huang Transform Analysis of Dynamic and Earthquake Motion Recordings. J. Engrg. Mech. 129(8), 861–875 (2003)

    Article  Google Scholar 

  10. Le Van Quyen, M., et al.: Comparison of Hilbert Transform and Wavelet Methods for the Analysis of Neuronal Ssynchrony. J. Neurosci. Meth. 111, 83–98 (2001)

    Article  Google Scholar 

  11. Kerschen, G., et al.: Toward a Fundamental Understanding of the Hilbert-Huang Transform in Nonlinear Structural Dynamics. J. Vibration Control 14(1-2), 77–105 (2008)

    Article  MathSciNet  Google Scholar 

  12. Loughlin, P.J., Tacer, B.: Comments on the Interpretation of Instantaneous Frequency. IEEE Signal Processing Letters 4(5), 123–125 (1997)

    Article  Google Scholar 

  13. Voelcker, H.B.: Toward a Unified Theory of Modulation Part I: Phase-Envelope Relationships. Proc. IEEE 54(3), 340–353 (1966)

    Article  Google Scholar 

  14. Voelcker, H.B.: Toward a Unified Theory of Modulation Part II: Zero Manipulation. Proc. IEEE 54(5), 735–755 (1966)

    Article  Google Scholar 

  15. Liang, H., Lin, Q.-H., Chen, J.D.Z.: Application of the Empirical Mode Decomposition to the Analysis of Esophageal Manometric Data in Gastroesophageal Reflux Disease. IEEE Transactions of Biomedical Engineering 52(10), 1692–18701 (2005)

    Article  Google Scholar 

  16. Donnelly, D.: The Fast Fourier Transform for Experimentalists, Part VI: Chirp of a Bat. Comput. Sci. Eng. 8(2), 72–78 (2006)

    Article  Google Scholar 

  17. Olhede, S., Walden, A.T.: The Hilbert Spectrum via Wavelet Projections. Proc. R. Soc. Lond. A 460, 955–975 (2004)

    Article  MATH  MathSciNet  Google Scholar 

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Osvaldo Gervasi Beniamino Murgante Antonio Laganà David Taniar Youngsong Mun Marina L. Gavrilova

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© 2008 Springer-Verlag Berlin Heidelberg

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Donnelly, D. (2008). Enhanced Empirical Mode Decomposition. In: Gervasi, O., Murgante, B., Laganà, A., Taniar, D., Mun, Y., Gavrilova, M.L. (eds) Computational Science and Its Applications – ICCSA 2008. ICCSA 2008. Lecture Notes in Computer Science, vol 5073. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69848-7_56

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  • DOI: https://doi.org/10.1007/978-3-540-69848-7_56

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69840-1

  • Online ISBN: 978-3-540-69848-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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