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M-ary signal detection via a bistable system in the presence of Lévy noise

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  • Zeng, Lingzao
  • Li, Jianlong
  • Shi, Jiachun

Abstract

We study the problem of the M-ary signal detection via a bistable detector in the presence of Lévy noise. Based on the numerical solution of the space-fractional Fokker–Planck equation, the theoretical bit error rate is defined and used in the optimal detector design. The accuracy of the theoretical results are verified by the Monte Carlo simulations. It is shown that, with the same noise intensity, the optimal bistable detector performs better with the decreasing Lévy index α. Therefore, Lévy noise plays a more positive role in the nonlinear M-ary signal detection problem, compared to Gaussian noise.

Suggested Citation

  • Zeng, Lingzao & Li, Jianlong & Shi, Jiachun, 2012. "M-ary signal detection via a bistable system in the presence of Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 378-382.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:4:p:378-382
    DOI: 10.1016/j.chaos.2011.10.012
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    Cited by:

    1. Liu, Shujun & Yang, Ting & Zhang, Xinzheng, 2015. "Effects of stochastic resonance for linear–quadratic detector," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 319-331.

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