The Application of Duffing Oscillator in Weak Signal Detection

Authors

  • Abolfazl Jalilvand Department of Electrical Engineering, Zanjan University
  • Hadi Fotoohabadi Islamic Azad University

DOI:

https://doi.org/10.37936/ecti-eec.201191.172249

Keywords:

Duffing Oscillator, Weak Signal, Chaos, Noise

Abstract

In this paper, a method for identifying the chaotic state of du±ng oscillator is proposed where the duffing oscillator is used for weak signal detection. This method is based on frequency spectrum analysis and filtering. Some relative aspects of this method for practical using are studied in details too. The proposed method has three properties; reasonable calculation complexity, robustness to moderate noise amount, and capability of detection with short signal sequence. The proposed approach has good robustness, which is successfully shown in this paper.

References

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[2] W.Guanyu and S.He, "A Quantitative study on detection and estimation of weak signals by using chaotic du±ng oscillator," IEEE Trans. Circuits and systems-I: Fundamental theory and applications, vo1. 50, No. 7, 1999, pp. 945-953.

[3] L.Yue, Y. Baojun and S.Y.Wu, "Chaos- based weak signal sinusoidal signal detection approachunder colored noise background," acta physicasinica 52 (3), 2003, pp. 440-444.

[4] V. Rubezic, I. Djurovic and M. Dakovic, "Time-frequency representations-based detector of chaos in oscillatory circuits," Elsevier Signal Processing, 86(9), 2006, pp. 2255-2270.

[5] C. S. Poon, M. Barahona, "Titration of chaos with added noise," Proc. Natl. Acta. Sci, Vol 98, No. 13, 2001, pp. 7107-7112.

[6] M. I. Rosenstein, J. J. Collins and C.J. Deluca, "A practical method for calculating largest Lyapunov exponents for small data sets," Physica D, 65, 1993, PP. 117-134.

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Published

2009-08-01

How to Cite

Jalilvand, A., & Fotoohabadi, H. (2009). The Application of Duffing Oscillator in Weak Signal Detection. ECTI Transactions on Electrical Engineering, Electronics, and Communications, 9(1), 1–6. https://doi.org/10.37936/ecti-eec.201191.172249

Issue

Vol. 9 No. 1 (2011): Regular Issue

Section

Research Article

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