Stochastic resonance of a linear oscillator stimulated by an amplitude-modulation signal

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.