多阈值系统中的阈上随机共振研究  

M-ary Suprathreshold Stochastic Resonance in Multilevel Threshold Systems

作　　者：陈楠 王友国[1] 翟其清[2] CHEN Nan;WANG Youguo;ZHAI Qiqing(College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210046,China;College of Telecommunications & Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003,China)

机构地区：[1]南京邮电大学理学院,江苏南京210046 [2]南京邮电大学通信与信息工程学院,江苏南京210003

出　　处：《复杂系统与复杂性科学》2018年第2期71-76,94,共7页Complex Systems and Complexity Science

基　　金：国家自然科学基金(61179027);江苏省青蓝工程项目(QL06212006);南京邮电大学通信与网络技术国家工程研究中心项目(GCZX001);江苏省高校研究生科研创新计划项目(KYLX15_0829)

摘　　要：以互信息为测度,通过模型建立与数值计算,发现在一定强度的加性噪声和乘性噪声共同作用下,多阈值系统中出现了阈上随机共振现象。提高阈值与增加阈值单元数都可以让系统更易于出现该现象,然而阈值的提高会减弱系统中信息传输的效果。在噪声强度较弱时,提高阈值单元输出元数可以增强系统中信息传输的效果,但过高的输出元数会使系统中的阈上随机共振现象消失,并且使互信息的值趋于饱和。In this paper,through the establishment of model and numerical calculation based on mutual information,it is found that under the certain intensityof both additive noise and multiplicative noise,themultilevel threshold system appears suprathreshold stochastic resonance phenomenon.Increasing the value of threshold orthe number of units is more likely to make the system appear suprathreshold stochastic resonance phenomenon.But the increase of the value of threshold will weaken the effect of information transmission in the system.When the noise intensity is weak,increasing the number of output elements of each unit can improve the transmission of information in the system.However,if the number of output elements of each threshold unit is too high,the suprathreshold stochastic resonance phenomenon in the system will disappear,and the value of mutual informationalso will tends to be saturated.

关 键 词：阈上随机共振 多阈值系统 噪声 互信息 

分 类 号：TN911.7[电子电信—通信与信息系统]