线性系统中随机共振现象的研究

Study the Phenomenon of Stochastic Resonance in Linear System

在高斯噪声同时作用系统阻尼系数和激励信号背景下,研究了欠阻尼二阶线性系统中的随机共振现象.研究结果表明,欠阻尼二阶线性系统中存在随机共振现象,该系统的平均输出幅度增益呈现非单调变化,不仅在一定条件下大于无噪声时的增益,而且调节适当的系统参数和噪声强度能够提高幅度增益.最后,进行了计算机模拟仿真,证实了结论.

This article studies stochastic resonance of the under-damped second-order linear system,whose damping coefficient and the driving signal frequency is perturbed by the Gaussian white noise.Research shows that under-damped second-order linear system existed the phenomenon of stochastic resonance.This system presents the average output amplitude gain（OAG）under certain conditions,not only is greater than when no noise second-order linear system,but also adjusts the system parameters and noise intensity can improve the output amplitude gain.Finally,the computer simulation gives the corresponding results.