①School of Automation Engineering of UEST of China, Chengdu 610054, China;②School of Life Science and Technology of UEST of China, Chengdu 610054, China; ③School of Information and Electric Engineering of Panzhihua University, Panzhihua 617000, China; ④China Gas Turbine Establishment, Jiangyou 621703, China
Abstract:The phenomenon of stochastic resonance of an over-damped linear oscillator stimulated by an amplitude-modulation signal and a random telegraph noise is investigated. The exact expressions of the Output-Amplitude-Gain (OAG) of the Upper Side-frequency Component (USC) and the Lower Side-frequency Component (LSC) are obtained based on linear-system theory. It is shown that the OAG of the USC (or the LSC) is a non-monotonic function of the strength and correlation time of the noise as well as the frequency of the USC (or the LSC). Furthermore, by choosing appropriate parameters of the noise and the oscillator, the OAG of the USC and LSC of the noisy oscillator can be larger than that of the noise-free oscillator. The effect of the noise strength and the frequency of the side-frequency components as well as the parameters of the oscillator on the OAG are discussed.