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Stochastic Resonance in a Bistable System Subject to Dichotomous Noise
Authors:ZHOU Yu-Rong  PAN Hui-Mei  GUO Feng  PANG Xiao-Feng
Institution:1. School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu 610054, China ;2. School of Information and Electric Engineering, Panzhihua University, Panzhihua 617000, China ;3. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China
Abstract:The stochastic resonance phenomenon in a bistable system subject to Markov dichotomous noise (DN) is investigated. Based on the adiabatic elimination and the two-state theories, the explicit expressions for the signal-to-noise ratio (SNR) and the spectral power amplification (SPA) have been obtained. It is shown that two peaks can occur on the curve of SNR versus the intensity of the DN. Moreover, the SNR is a non-monotonic function of the correlation time of the DN. The SPA varies non-monotonously with the strength of the DN. The dependence of the SNR on the frequency and the amplitude of the external periodic signal are discussed. The effect of the external frequency and the correlation time of the DN on the SPA are analyzed.
Keywords:stochastic resonance  signal-to-noise ratio  spectral power amplification                                                                                                                                
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