Skip to main content

Study on Chaos-Based Weak Signal Detection Method with Duffing Oscillator

  • Conference paper

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 169))

Abstract

Aiming at the feature extraction of weak periodic signal in early fault of machinery, a novel weak periodic signal detection with Duffing oscillator based on empirical modedecomposition (EMD) was presented. The chaotic character of Duffing oscillator was analyzed, and the Melnikov method of determining chaotic threshold of Duffing oscillators was discussed. The principle of weak signal detection based on the change of phase trace was described. In practical engineering measurement, the influence of noise to the system status in the chaos detection process was studied. EMD was proposed to avoid component interference, and weak characteristic signal can be separated from background signal and noise. The analysis results show that the weak periodic signal can be detected efficiently.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   389.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   499.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Wang, G., Chen, D., Lin, J., Chen, X.: The Application of Chaotic Oscillators to Weak Signal Detection. IEEE Transactions on Industrial Electronics 46(2), 440–444 (1999)

    Article  Google Scholar 

  2. Birx, D.L.: Chaotic Oscillators and Complex Mapping Feed Forward Networks (CMFFNS) for Signal Detection in Noisy Environments. In: Proceeding of the IEEE International Joint Conference on Neural Network, vol. 2, pp. 881–888 (1992)

    Google Scholar 

  3. Yue, L., Baojun, Y., Wu, S.Y.: Chaos-based Weak Sinusoidal Signal Detection Approach under Colored Noise Background. Acta Physica Sinica 52(3), 526–530 (2003)

    Google Scholar 

  4. Huang, N.E., Shen, Z., Long, S.R., et al.: The Empirical Mode Decomposition and The Hilbert Spectrum for Nonlinear Nonstationary Time Series Analysis. Proceedings of the Royal Society of London 454(A), 903–995 (1998)

    MathSciNet  MATH  Google Scholar 

  5. Guckenheimer, J., Holmes, P.: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer, New York (1983)

    MATH  Google Scholar 

  6. Hoppensteadt, F.C.: Analysis and Simulation of Chaotic Systems, 2nd edn. Springer, New York (2000)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fengli Wang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag GmbH Berlin Heidelberg

About this paper

Cite this paper

Wang, F., Xing, H., Duan, S., Yu, H. (2012). Study on Chaos-Based Weak Signal Detection Method with Duffing Oscillator. In: Jin, D., Lin, S. (eds) Advances in Computer Science and Information Engineering. Advances in Intelligent and Soft Computing, vol 169. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30223-7_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-30223-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30222-0

  • Online ISBN: 978-3-642-30223-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics