Analytical basics of the EMD: Two harmonics decomposition

Mechanical Systems and Signal Processing

Volumn 23, Issue 7, 2009, Pages 2059-2071

  Feldman, Michael ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

EMD; Envelope; Extrema; Hilbert transform; Instantaneous frequency; Two harmonics decomposition

Indexed keywords

EMD; ENVELOPE; EXTREMA; HILBERT TRANSFORM; INSTANTANEOUS FREQUENCY; TWO HARMONICS DECOMPOSITION;

ELECTRIC FREQUENCY MEASUREMENT; FOURIER SERIES; MATHEMATICAL TRANSFORMATIONS;

HARMONIC ANALYSIS;

EID: 67349218405     PISSN: 08883270     EISSN: 10961216     Source Type: Journal    
DOI: 10.1016/j.ymssp.2009.04.002     Document Type: Article

References (7)

1. Huang N.E., Shen Z., Long S.R., Wu M.L., Shih H.H., et al. The empirical mode decomposition and Hilbert spectrum for nonlinear and nonstationary time series analysis. Proceedings of the Royal Society of London, Series A 454 (1998) 903-995
2. Wu Z., and Huang N.E. A study of the characteristics of white noise using the empirical mode decomposition method. Proceedings of the Royal Society of London, Series A 460 (2004) 1597-1611
3. Wu Z., and Huang N.E. Ensemble empirical mode decomposition: a noise-assisted data analysis method. Advances in Adaptive Data Analysis 1 1 (2008) 1-41
4. S. Kizhner, K. Blank, T. Flatley, N. E. Huang, D. Petrick, Ph. Hestnes, On Certain Theoretical Developments Underlying the Hilbert-Huang Transform, in: Proceedings of the Aerospace Conference, 2006 IEEE, 2006, 14 pp.
5. Rilling G., and Flandrin P. One or two frequencies? The empirical mode decomposition answers. IEEE Transactions on Signal Processing 56 1 (2008) 85-95
6. Feldman M. Time-varying vibration decomposition and analysis based on the Hilbert transform. Journal of Sound and Vibration 295 3-5 (2006) 518-530
7. Feldman M. Theoretical analysis and comparison of the Hilbert transform decomposition methods. Mechanical Systems and Signal Processing 22 3 (2008) 509-519