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色噪声作用下线性系统的随机共振
引用本文:周玉荣,郭锋,蒋世奇,邓波,庞小峰.色噪声作用下线性系统的随机共振[J].电子科技大学学报(社会科学版),2008(2).
作者姓名:周玉荣  郭锋  蒋世奇  邓波  庞小峰
作者单位:电子科技大学生命科学与技术学院;电子科技大学自动化工程学院;电子科技大学生命科学与技术学院 成都610054 攀枝花学院电气信息工程学院四川攀枝花;
基金项目:国家自然科学基金(30600127)
摘    要:研究了当系统的固有频率和激励信号受色噪声作用时,过阻尼二阶线性中的随机共振现象。通过线性系统理论和相关删去法方法,得到了系统平均输出幅度增益的精确表达式。系统平均输出幅度增益是色噪声的强度和相关率以及激励信号的频率的非单调函数,适当的噪声参数和系统参数可以使噪声情况下的输出幅度增益大于无噪声时的输出幅度增益;通过改变噪声参数和系统参数可以提高系统的输出幅度增益。该方法适用于色噪声环境中线性系统的微弱信号检测。

关 键 词:色噪声  输出幅度增益  过阻尼线性系  随机共振  

Stochastic Resonance of a Linear System with Colored Noise
ZHOU Yu-rong,GUO Feng,JIANG Shi-qi,DENG Bo, PANG Xiao-feng.Stochastic Resonance of a Linear System with Colored Noise[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),2008(2).
Authors:ZHOU Yu-rong    GUO Feng  JIANG Shi-qi  DENG Bo    PANG Xiao-feng
Institution:ZHOU Yu-rong1,2,GUO Feng3,JIANG Shi-qi3,DENG Bo1,, PANG Xiao-feng1 (1. School of Life Science , Technology,University of Electronic Science , Technology of China Chengdu 610054,2. School of Information , Electric Engineering,Panzhihua University Panzhihua Sichuan 617000,3. School of Automation Engineering,University of Electronic Science , Technology of China Chengdu 610054)
Abstract:This paper investigates the phenomenon of stochastic resonance of an over-damped second-order linear system,whose intrinsic frequency and the driving signal frequency is perturbed by colored noise. Based on linear-system theory and the correlation deletion method,the explicit expression of the output amplitude gain (OAG) of the system is obtained. It is shown that the OAG is a non-monotonic function of the strength,the correlation rate of the colored noise,and the frequency of the driving signal. By choosin...
Keywords:colored noise  output amplitude gain  over-damped linear system  stochastic resonance  
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