非关联三值噪声激励下线性系统的随机共振

Stochastic Resonance in Linear System Driven by Non-Correlated Trichotomous Noise

研究了两非关联三值噪声共同作用下一阶线性系统的随机共振现象.基于Shapiro-Loginov公式,利用噪声的统计特性,给出系统的一阶矩的解析表达式。获得表征系统随机共振特征的系统输出幅值增益的精确表达式。数值计算分析了系统随机共振特征与噪声强度,噪声平面度等噪声参数的非单调行为,表明系统存在随机共振现象。

This paper investigated the stochastic resonance phenomenon in linear system induced by two non - correlated trichotomous noise. Based on Shaipro - Loginov formula, the analytical expression of the first moment was given by using statistical property of noise. Then the exact expression of output amplitude gain which describes the stochastic resonance feature of system was calculated. Numerical computation was completed to study the nonmonotonic behavior of stochastic resonance feature of system and noise parameters （ e. g. noise in- tensy, noise flatness）. The results showed the stochastic resonance phenomenon is existed in the system.