乘性三值噪声作用下微分电路中的随机共振现象研究  

Study on Stochastic Resonance Phenomenon in a Differential Circuit with Multiplicative Trichotomous Noise

作　　者：赵欣[1] 欧剑[2] 

机构地区：[1]绵阳职业技术学院计算机科学系,四川绵阳621000 [2]绵阳职业技术学院信息工程系,四川绵阳621000

出　　处：《计量学报》2015年第4期423-427,共5页Acta Metrologica Sinica

基　　金：四川省教育厅2013年度科研项目重点项目(13ZA0326)

摘　　要：基于线性系统理论，利用三值噪声的统计性质，推导出了系统输出幅度增益的解析表达式。研究表明，随着输入信号频率、三值噪声的定态概率、噪声状态间的跃迁速率、参数k（电容C的倒数）的增大，输出幅度增益出现一个最大值。当信号频率较低时，输出幅度增益随着k的增大而单调下降；当信号频率较高时，输出幅度增益随着k的增大而单调增大。当信号频率较低时，输出幅度增益随着定态概率的增大而单调增大；当信号频率较高时，输出幅度增益随着定态概率的增大而单调下降。随着G0（电阻的倒数）的增大，输出幅度增益单调减小。Based on the linear system theory, applying the statistical properties of the trichotomous noise, the analytical expression of the output amplitude gain （OAG） is derived. It is shown that, with the increase of the frequency of the input signal, the increase of the stable probability of the trichotomous noise, the increase of the switching rate between the noise states, as well as the increase of the parameter k （ the reciprocal of capacitor C）, the system OAG reaches a maximum value. For low signal frequency, with the increase of k, the OAG decreases monotonically, while for high signal frequency, the OAG increases monotonically with the increase of k. For low signal frequency, with the increase of the stable probability, the OAG increases monotonically, while for high signal frequency, the OAG decreases monotonically with the increase of the stable probability. The OAG decreases monotonically with the increase of the parameter GO （the reciprocal of resistance）.

关 键 词：计量学 随机共振 输出幅度增益 乘性三值噪声 微分电路 

分 类 号：TB973[一般工业技术—计量学]