具有调制二值噪声线性系统的随机共振

研究了系统固有频率受二值噪声扰动时,调制二值噪声驱动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,得到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、相关率、系统阻尼系数、系统固有频率以及激励信号频率的非单调函数;另外,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。

Stochastic Resonance of a Linear System with Modulated Dichotomous Noise

The phenomena of stochastic resonance of an over-damped second-order linear system with modulated dichotomous noise are investigated.We assume that the system intrinsic frequency 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 of the dichotomous noise,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,by 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.