色噪声作用下二阶线性系统中随机共振现象的研究

摘要

This paper deals with the phenomenon of stochastic resonance of the under-damped second-order linear system,which happens when the colored noise acts on the damping coefficient and the driving signal. The actual calculation and simulation show that the average output amplitude gain (OAG) of this system changes in a non-monotonic way,which is not only greater than the gain at a time when there is no noise under certain conditions,but also able to adjust the system parameters and noise intensity to improve the output amplitude gain.%在色噪声同时作用于阻尼系数和激励信号时,研究了欠阻尼二阶线性系统中的随机共振现象.实际计算和仿真表明: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,而且适当的系统参数和噪声参数能够提高幅度增益,这对噪声环境中线性系统的理论研究以及微弱信号检测都具有一定的理论意义.