中文摘要：

我们由分析推理和随机的模拟在一个单个阀值的传感器系统在随机的回声上调查 alpha 马厩噪音的效果。随机的回声在 alpha 马厩噪音环境发生在阀值系统，这被显示出，但是反响的效果变得作为 alpha 马厩索引减少或 alpha 马厩分发增加的偏斜度参数变弱。特别地，为 Cauchy 噪音，在最佳的噪音偏差参数，信号振幅和阀值之中的一种非线性的关系是为输出 signal-to-noise 比率使用极端值条件获得并且说明的经分解。在这通讯介绍的结果应该在 non-Gaussian 在信号察觉和图象恢复有申请吵闹的环境。

英文摘要：

We investigate the effect of alpha stable noise on stochastic resonance in a single-threshold sensor system by analytic deduction and stochastic simulation. It is shown that stochastic resonance occurs in the threshold system in alpha stable noise environment, but the resonant effect becomes weakened as the alpha stable index decreases or the skewness parameter of alpha stable distribution increases. In particular, for Cauchy noise a nonlinear relation among the optimal noise deviation parameter, the signal amplitude and the threshold is analytically obtained and illustrated by using the extreme value condition for the output signal-to-noise ratio. The results presented in this communication should have application in signal detection and image restoration in the non-Gaussian noisy environment.