中国物理B ›› 2010, Vol. 19 ›› Issue (8): 80504-080504.doi: 10.1088/1674-1056/19/8/080504

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Stochastic resonance in a monostable system driven by square-wave signal and dichotomous noise

周玉荣1, 郭锋2, 罗向东2, 李少甫2   

  1. (1)School of Information and Electric Engineering, Panzhihua University, Panzhihua 617000, China; (2)School of Information Engineering, Southwest University of Science and Technology, Mianyang 621010, China
  • 收稿日期:2008-12-23 修回日期:2009-12-24 出版日期:2010-08-15 发布日期:2010-08-15
  • 基金资助:
    Project supported by the Doctorial Foundation of Southwest University of Science and Technology of China (Grant No. 08zx7108).

Stochastic resonance in a monostable system driven by square-wave signal and dichotomous noise

Guo Feng(郭锋)a)†, Luo Xiang-Dong(罗向东)a), Li Shao-Fu(李少甫)a), and Zhou Yu-Rong(周玉荣)b)   

  1. a School of Information Engineering, Southwest University of Science and Technology, Mianyang 621010, China; b School of Information and Electric Engineering, Panzhihua University, Panzhihua 617000, China
  • Received:2008-12-23 Revised:2009-12-24 Online:2010-08-15 Published:2010-08-15
  • Supported by:
    Project supported by the Doctorial Foundation of Southwest University of Science and Technology of China (Grant No. 08zx7108).

摘要: This paper investigates the stochastic resonance in a monostable system driven by square-wave signal, asymmetric dichotomous noise as well as by multiplicative and additive white noise. By the use of the properties of the dichotomous noise, it obtains the expressions of the signal-to-noise ratio under the adiabatic approximation condition. It finds that the signal-to-noise ratio is a non-monotonic function of the asymmetry of the dichotomous noise, and which varies non-monotonously with the intensity of the multiplicative and additive noise as well as the system parameters. Moreover, the signal-to-noise ratio depends on the correlation rate and intensity of the dichotomous noise.

Abstract: This paper investigates the stochastic resonance in a monostable system driven by square-wave signal, asymmetric dichotomous noise as well as by multiplicative and additive white noise. By the use of the properties of the dichotomous noise, it obtains the expressions of the signal-to-noise ratio under the adiabatic approximation condition. It finds that the signal-to-noise ratio is a non-monotonic function of the asymmetry of the dichotomous noise, and which varies non-monotonously with the intensity of the multiplicative and additive noise as well as the system parameters. Moreover, the signal-to-noise ratio depends on the correlation rate and intensity of the dichotomous noise.

Key words: stochastic resonance, monostable system, asymmetric dichotomous noise

中图分类号:  (Circuit theory)

  • 84.30.Bv
02.50.Ey (Stochastic processes)