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
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.
Received: 26 October 2005
Revised: 03 December 2005
Accepted manuscript online:
Guo Feng (郭锋), Zhou Yu-Rong (周玉荣), Jiang Shi-Qi (蒋世奇), Gu Tian-Xiang (古天祥) Stochastic resonance in a bias linear system with multiplicative and additive noise 2006 Chinese Physics 15 947
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