耦合白噪声作用下线性系统的随机共振

Stochastic Resonance of a Linear System Subject to Coupled White Noise

研究了耦合白噪声作用下的二阶过阻尼线性系统中的随机共振现象。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:输出幅度增益是噪声的强度、系统的阻尼系数和系统的固有频率,以及激励信号的频率的非单调函数,适当的噪声强度和系统参数可以使噪声情况下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 over-damped second-order linear system driven by coupled white noise is investigated. Based on linearsystem 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 noise, the system ecefficient, the system intrinsic frequency, as well as the frequency of the driving signal. By choosing appropriate paraneters of the noise and the system, the OAG of the noisy system can he larger than that of the noise - free system.