中国物理B ›› 2006, Vol. 15 ›› Issue (5): 947-952.doi: 10.1088/1009-1963/15/5/013

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Stochastic resonance in a bias linear system　with multiplicative and additive noise

郭锋1, 古天祥1, 蒋世奇2, 周玉荣3   

  1. (1)School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China; (2)School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China;China Gas Turbine Establishment, Jiangyou 621703,China; (3)School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu 610054, China;School of Information and Electric Engineering, Panzhihua University, Panzhihua 617000, China
  • 收稿日期:2005-10-26 修回日期:2005-12-03 出版日期:2006-05-20 发布日期:2006-05-20

Stochastic resonance in a bias linear system with multiplicative and additive noise

Guo Feng (郭锋)a, Zhou Yu-Rong (周玉荣)bc, Jiang Shi-Qi (蒋世奇)ad, Gu Tian-Xiang (古天祥)a   

  1. a School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China; b School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu 610054, China; c School of Information and Electric Engineering, Panzhihua University, Panzhihua 617000, Chinad China Gas Turbine Establishment, Jiangyou 621703, China
  • Received:2005-10-26 Revised:2005-12-03 Online:2006-05-20 Published:2006-05-20

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摘要： In this paper, the stochastic resonance in a bias linear system subjected multiplicative and additive dichotomous noise is investigated. Using the linear-response theory and the properties of the dichotomous noise, this paper finds the exact expressions for the first two moments and the signal-to-noise ratio (SNR). It is shown that the SNR is a non-monotonic function of the correlation time of the multiplicative and additive noise, and it varies non-monotonously with the intensity and asymmetry of the multiplicative noise as well as the external field frequency. Moreover, the SNR depends on the system bias, the intensity of the cross noise between the multiplicative and additive noise, and the strength and asymmetry of the additive noise.

关键词: stochastic resonance, bias linear system, signal-to-noise ratio

Abstract: In this paper, the stochastic resonance in a bias linear system subjected multiplicative and additive dichotomous noise is investigated. Using the linear-response theory and the properties of the dichotomous noise, this paper finds the exact expressions for the first two moments and the signal-to-noise ratio (SNR). It is shown that the SNR is a non-monotonic function of the correlation time of the multiplicative and additive noise, and it varies non-monotonously with the intensity and asymmetry of the multiplicative noise as well as the external field frequency. Moreover, the SNR depends on the system bias, the intensity of the cross noise between the multiplicative and additive noise, and the strength and asymmetry of the additive noise.

Key words: stochastic resonance, bias linear system, signal-to-noise ratio

中图分类号:  (Noise)

  • 05.40.Ca
02.50.Ey (Stochastic processes)