二值噪声作用下线性系统的随机共振  

Stochastic Resonance of a Linear System Driven by Dichotomic Noise

作　　者：陈欣波[1] 周玉荣[1] 

机构地区：[1]攀枝花学院电气信息工程学院,四川攀枝花617000

出　　处：《噪声与振动控制》2009年第1期29-32,共4页Noise and Vibration Control

摘　　要：研究了二值噪声作用下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:输出幅度增益是噪声的强度和相关时间、系统阻尼系数,以及激励信号频率的非单调函数;另外,适当的噪声参数和系统参数可以使有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 subject to dichotomic noise （DN） is investigated. 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 time of the DN, the system damping coefficient, as well as the frequency of the driving signal. In addition, 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.

关 键 词：振动与波 随机共振 输出幅度增益 二值噪声 过阻尼线性系统 

分 类 号：O211.64[理学—概率论与数理统计]