色噪声作用下线性系统的随机共振

研究了当系统的固有频率和激励信号受色噪声作用时,过阻尼二阶线性中的随机共振现象。通过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。系统平均输出幅度增益是色噪声的强度和相关率以及激励信号的频率的非单调函数,适当的噪声参数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;通过改变噪声参数和系统参数可以提高系统的输出幅度增益。该方法适用于色噪声环境中线性系统的微弱信号检测。

Stochastic Resonance of a Linear System with Colored Noise

This paper investigates the phenomenon of stochastic resonance of an over-damped second-order linear system, whose intrinsic frequency and the driving signal frequency is perturbed by colored 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, the correlation rate of the colored noise, and the frequency of the driving signal. By choosing appropriate parameters of the noise and the system, the OAG of the noisy system can be larger than that of the noise-free system, so the OAG can be increased by changed the parameters of the noise the system.