信号调制色噪声作用下线性系统的随机共振

Stochastic Resonance of a Linear System Subject to Signal Modulated Colored Noise

研究系统的阻尼系数受二值噪声扰动时,信号调制二值噪声驱动的二阶过阻尼线性系统的随机共振现象。基于线性系统理论和相关删去法方法,得到了系统平均输出幅度增益的精确表达式。研究表明:系统的输出幅度增益是二值噪声的强度和相关率、系统固有频率、系统阻尼系数,以及激励信号的频率的非单调函数,适当的噪声参数可以使系统的输出幅度增益大于无噪声时的输出幅度增益。

The phenomenon of stochastic resonance of an overdamped second-order linear system driven by signal modulated dichotomous noise is investigated. It is assumed that the system damping coefficient is perturbed by dichotomous noise. Based on linear system theory and the correlation deletion method, the explicit expression of the output amplitude gain （OAG） of the system is obtained. It is shown that the OAG is a non-monotonic function of the strength and the correlation rate of the dichotomous noise, the system damping coefficient, the system intrinsic frequency, as well as the frequency of the driving signal. In addition, choosing appropriate parameters of the dichotomous noise and the system, the OAG of the noisy system can be larger than that of the noise-free system.