Stochastic Resonance in a Second-Order Linear System Subject to Signal-Modulated Noise

Abstract

An over-damped second-order linear system with fluctuant coefficient of the second-order derivative and signal-modulated noise is considered. Based on linear-system theory, the expression of the output amplitude is obtained. Analytical results shows that the output amplitude is a non-monotonic function of the noise strength, and it varies non-monotonously with the increase of the system parameter a and b, while it decreases monotonously with the increase of the signal frequency and the system parameter c.