中文摘要：

研究一类并联非耦合双稳振子阵列信号处理中输入的加性噪声及彼此独立的阵列各子系统内部乘性噪声驱动下的随机共振现象。通过数值模拟，证明了当阵列数目增加到一定数目时，系统的乘性阵列噪声将使得信噪比增益大于1，而且阵列数目越大，信噪比增益区间越大。通过对该系统的极限均值函数和稳态相关函数的数值模拟，证明了阵列乘性噪声诱导的任意两个独立的双稳振子的统计行为能直接反映该系统中信噪比增益特性。研究结果不仅将拓展非线性动力学系统阵列信号处理理论。也将为噪声诱导复杂系统及复杂网络中随机动力学行为研究提供一种新的思路。

英文摘要：

We investigated the array stochastic resonance induced by the multiplicative array noise in a parallel uncoupled array of identical bistable systems driven by the mixing signal of sinusoids and additive Gaussian white input noise. Our numerical simulating results showed that the signal-to-noise ratio gain could exceed unity for both subthreshold and suprathreshold sinusoids input when the array size reached a number. Interestingly, the region of SNR gain exceeding unity corresponding multiplicative noises could be extended as the array size arises. By simulating numerically the function limits of non-stationary array mean and stationary auto-convariance, we found that the performance of an infinite array can be approached by an array of two bistable oscillators operating in different noisy conditions. The present nonlinear phenomenon of SNR gain exceeding unity in parallel uncoupled arrays not only represent a promising application in array signal processing of complex random systems but also proved a new scheme for stochastic dynamics induced by the array noises.