230
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Improving the empirical mode decomposition method

&
Pages 689-713 | Received 19 Nov 2009, Accepted 17 Dec 2009, Published online: 08 Jul 2010

References

  • Huang , NE , Shen , Z , Long , SR , Manli , C , Shih , HH , Zheng , Q , Yen , N , Tung , CC and Liu , HH . 1998 . The empirical mode decomposition and Hilbert spectrum for nonlinear and nonstationary time series analysis . Proc. R. Soc., London, A , 454 : 903 – 995 .
  • Yang , W . 2008 . Interpretation of mechanical signals using an improved Hilbert–Huang transform . Mech. Syst. Signal Pr. , 22 : 1061 – 1071 .
  • R. Agarwal and J. Gotman, Adaptive segmentation of electroencephalographic data using a nonlinear energy operator, ISCAS’99, Orlando, 1999.
  • N. Martins and A. Rosa, EEG non-stationary spectrum analysis and feature extraction, IEEE International Conference on Systems, Man and Cybernatics: Information, Intelligence and Systems, Beijing, 1996.
  • Liang , H , Lin , Q and Chenv , JD . 2005 . Application of the empirical mode decomposition to the analysis of esophageal manometric data in gastroesophageal reflux disease . IEEE Trans. Biomed. Eng. , 52 : 1692 – 1701 .
  • Huang , NE , Shen , Z and Long , SR . 1999 . A new view of nonlinear water waves: The Hilbert Spectrum 1 . Annu. Rev. Fluid Mech. , 31 : 417 – 457 .
  • Nunes , J , Bouaoune , Y , Deléchelle , E , Niang , O and Bunel , P . 2003 . Image analysis by bidimensional empirical mode decomposition . Image Vision Comput. , 21 : 1019 – 1026 .
  • Huang , NE and Shen , SS . 2005 . Hilbert–Huang Transform and its Applications, Interdisciplinary Mathematical Sciences , Vol. 5 , New Jersey : World Scientific .
  • Andrade , MA , Messina , AR , Rivera , CA and Olguin , D . 2004 . Identification of instantaneous attributes of torsional shaft signals using the Hilbert transform . IEEE Trans. Power Syst. , 19 : 1422 – 1429 .
  • Messina , AR and Vittal , V . 2006 . Nonlinear, non-stationary analysis of interarea oscillations via Hilbert spectral analysis . IEEE Trans. Power Syst. , 21 : 1234 – 1241 .
  • Messina , AR , Vittal , V , Ruiz-vega , D and Enrv , G . 2006 . Interpretation and visualization of wide-area PMU measurements using Hilbert analysis . IEEE Trans. Power Syst. , 21 : 1763 – 1771 .
  • Z. Lu, J. Smith, Q. Wu, and J. Fitch, Empirical mode decomposition for power quality monitoring, IEEE/PES. Transmission and Distribution Conference, Dalian Xinghai, China, 2005.
  • Priestley , MB . 1981 . Spectral Analysis and Time Series , London; New York : Academic Press .
  • Wigner , E . 1932 . On the quantum correction for thermodynamic equilibrium . Phys. Rev. , 40 : 0749 – 0759 .
  • Rihaczek , AW . 1968 . Signal energy distribution in time and frequency . IEEE Trans. Info. Theory , 14 : 369 – 374 .
  • Fano , R . 1950 . Short time autocorrelation functions and power spectra . J. Acoustical Soc. Amer. , 22 : 546 – 550 .
  • Schroeder , M and Atal , B . 1962 . Generalized short-time power spectra and autocorrelation functions . J. Acoustical Soc. Amer. , 34 : 1679 – 1683 .
  • Oppenheim , A . 1970 . Speech spectrograms using the fast Fourier transform . IEEE Spectr. , 7 : 57 – 62 .
  • Haar , A . 1912 . Zur Theorie der orthogonalen Funktionsysteme (Zweite Mitteilung) . Abh. Geschichte Math. , 71 : 38 – 53 .
  • Daubechies , I . 1992 . Ten Lectures on Wavelets , Philadelphia, PA, , USA : SIAM .
  • Rilling , G and Flandrin , P . 2008 . One or two frequencies? The empirical mode decomposition answers . IEEE Trans. Signal Process. , 56 : 85 – 95 .
  • Junsheng , C , Dejie , Y and Yu , Y . 2006 . Research on the intrinsic mode function (IMF) criterion in EMD method . Mech. Syst. Signal Pr. , 20 : 817 – 824 .
  • Rato , R , Ortigueira , M and Batista , A . 2008 . On the HHT, its problems, and some solutions . Mech. Syst. Signal Pr. , 22 : 1374 – 1394 .
  • G. Rilling and P. Flandrin, On the influence of sampling on the empirical mode decomposition, IEEE ICASP, Tolousse, France, 2006.
  • N. Stevenson, M. Mesbah, and B. Boashash, A sampling limit for the empirical mode decomposition, ISSPA-05, Sydney, Australia, 2005.
  • Senroy , N , Suryanarayanan , S and Ribeiro , PF . 2007 . An Improved Hilbert–Huang method for analysis of time-varying waveforms in power quality . IEEE Trans. Pow. Syst. , 22 : 1843 – 1850 .
  • G. Rilling, P. Flandrin, and P. Gonzalves, On empirical mode decomposition and its algorithms, IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing NSIP-03, Grado, Italy, 2003.
  • Brain Computer Interface Research at NUST, Pakistan, Project BCI – EEG motor activity data set, available from: http://sites.google.com/site/projectbci/.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.