Skip to main content
Log in

Harmonic component extraction from a chaotic signal based on empirical mode decomposition method

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

A novel approach of signal extraction of a harmonic component from a chaotic signal generated by a Duffing oscillator was proposed. Based on empirical mode decomposition (EMD) and concept that any signal is composed of a series of the simple intrinsic modes, the harmonic components were extracted from the chaotic signals. Simulation results show the approach is satisfactory.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Leung H, Huang X P. Parameter estimation in chaotic noise[J]. IEEE Transaction on Signal Processing, 1996, 44(10): 2456–2463.

    Google Scholar 

  2. Haykin S, Li X B. Detection of signals in chaos[J]. Proceedings of IEEE, 1995, 83(1): 94–122.

    Article  Google Scholar 

  3. Short K M. Steps toward unmasking secure communications[J]. International Journal of Bifurcation and Chaos, 1994, 4(4): 959–977.

    MATH  Google Scholar 

  4. Short K M. Unmasking a modulated chaotic communications scheme[J]. International Journal of Bifurcation and Chaos, 1996, 6(2): 367–375.

    MATH  MathSciNet  Google Scholar 

  5. Short K M. Signal extraction from chaotic communications[J]. International Journal of Bifurcation and Chaos, 1997, 7(7): 1579–1597.

    MATH  Google Scholar 

  6. Wang F P, Guo J B, Wang Z J, et al. Harmonic signal extraction from strong chaotic interference[J]. Acta Physica Sinica, 2001, 50(6): 1019–1023 (in Chinese).

    Google Scholar 

  7. Wang F P, Wang Z J, Guo J B. Blind signal separation from chaotic background[J]. Acta Physica Sinica, 2002, 51(3): 474–481 (in Chinese).

    Google Scholar 

  8. Huang N E, Shen Z, Long S R, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series[J]. Proceedings of the Royal Society of London (Series A), 1998, 454(1971): 903–995.

    MathSciNet  Google Scholar 

  9. Yu D J, Cheng J S. Application of empirical mode decomposition method to gear fault diagnosis[J]. Journal of Hunan University, 2002, 29(6): 48–51 (in Chinese).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Li Hong-guang  (李鸿光).

Additional information

Project supported by the National Natural Science Foundations of China (Nos. 10502032, 50335030, 10325209 and 50375094)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, Hg., Meng, G. Harmonic component extraction from a chaotic signal based on empirical mode decomposition method. Appl Math Mech 27, 221–225 (2006). https://doi.org/10.1007/s10483-006-0210-z

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-006-0210-z

Key words

Navigation