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线性系统中随机共振现象的研究
引用本文:孙万麟,山拜·达拉拜.线性系统中随机共振现象的研究[J].江西师范大学学报(自然科学版),2012,36(2):120-123.
作者姓名:孙万麟  山拜·达拉拜
作者单位:1. 昌吉学院物理系,新疆昌吉,831100
2. 新疆大学信息科学与工程学院,新疆乌鲁木齐,830046
基金项目:昌吉学院科研基金(2011YJYB004)资助项目
摘    要:在高斯噪声同时作用系统阻尼系数和激励信号背景下,研究了欠阻尼二阶线性系统中的随机共振现象.研究结果表明,欠阻尼二阶线性系统中存在随机共振现象,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,而且调节适当的系统参数和噪声强度能够提高幅度增益.最后,进行了计算机模拟仿真,证实了结论.

关 键 词:随机共振  高斯白噪声  平均输出幅度增益  检测

Study the Phenomenon of Stochastic Resonance in Linear System
SUN Wan-lin , SENBAI Dalabaev.Study the Phenomenon of Stochastic Resonance in Linear System[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2012,36(2):120-123.
Authors:SUN Wan-lin  SENBAI Dalabaev
Affiliation:SUN Wan-lin1,SENBAI Dalabaev2(1.The Department of Physics,Changji College,Changji Xingjiang 831100,China;2.School of Information Science & Engineering,Xinjiang University,Urumqi Xingjiang 830046,China)
Abstract:This article studies stochastic resonance of the under-damped second-order linear system,whose damping coefficient and the driving signal frequency is perturbed by the Gaussian white noise.Research shows that under-damped second-order linear system existed the phenomenon of stochastic resonance.This system presents the average output amplitude gain(OAG)under certain conditions,not only is greater than when no noise second-order linear system,but also adjusts the system parameters and noise intensity can improve the output amplitude gain.Finally,the computer simulation gives the corresponding results.
Keywords:stochastic resonance  Gaussian white noise  OAG  detection
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