随机谐振在信号接收中的应用研究

Application of stochastic resonance in signal reception

在一些非线性系统中,噪声时常有助于信号传输或信号处理的现象称为随机谐振。本文基于信号错误接收概率讨论随机谐振在信号接收中的应用。对于极大阈值网络,当信号在阈下时,适量的噪声能改善信号接收,随机谐振现象存在;随着网络中阈值单元数的增加,错误接收概率的最小值迅速地趋于零,随机谐振功效极大地提高;对于两种典型噪声解析地讨论发生随机谐振现象时的最佳噪声强度,并根据噪声密度函数的变化对随机谐振机理进行了尝试性解释。

In some nonlinear systems, noise can bring beneficial helps to signal transmission or signal processing. Such use of noise is the so-called stochastic resonance （SR）. This paper discusses the application of SR in signal reception based on the probability of error reception. In the maximizing network of threshold devices, when the signal is subthreshold, noise can improve signal reception and SR exists. The efficacy of SR can be significantly enhanced and the minimum of the probability of error reception signal can dramatically approach to zero as the number of the threshold devices in the network is raised. For two representative noises ,we study analytically the optimal noise standard deviation and give a tentative explanation for the mechanism of SR based on the variation of the probability density function.