摘要
研究了一类具有外部周期信号的线性系统在乘性非对称三值噪声激励下呈现随机共振现象的情况.采用Shapiro-Loginov公式,计算出系统输出信号振幅的精确表达式.通过平面及三维图示分析,系统观察出两类广义的随机共振现象.也就是系统在某些参数下,输出信号振幅随着三值噪声强度及其非对称度的变化显现出非单调依赖性.
The phenomenon of stochastic resonance（SR） in a linear system with an external periodic signal derived by a multiplicative asymmetric trichotomous noise is investigated.The exact expression of the output amplitude is derived by the Shapiro-Loginov formula.Two kinds of SR phenomena are found through the two-dimensional and three-dimensional figures,i.e.the non-monotonic dependence of the output amplitude on the noise strength and the noise asymmetry degree is presented with some parameters.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第1期9-12,共4页
Journal of Shaanxi Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(10972181
11102157)
关键词
非对称三值噪声
随机共振
线性系统
输出信号振幅
asymmetric trichotomous noise
stochastic resonance
linear system
output amplitude
