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。 Stochastic resonance phenomenon in under-damped second-order linear system is studied when colored noise acts on damping coefficient and excitation signal at the same time. The actual calculation and simulation show that the average output amplitude gain of the system exhibits a non-monotonic change, which is not only greater than the gain without noise under certain conditions, but also that the appropriate system parameters and noise parameters can improve the amplitude gain. The theoretical research as well as weak signal detection have certain theoretical significance.