耦合高斯噪声背景下二阶线性系统中随机共振的研究  

Study on stochastic resonance of the second—order linear system under coupling gaussina noise

作　　者：孙万麟[1] 朱超[1] 马莉[1] Sun Wanlin;Zhu Chao;Ma Li(The Department of Physics,Changji College,Changji 831100,China)

机构地区：[1]昌吉学院物理系,昌吉831100

出　　处：《电子测量技术》2020年第18期117-120,共4页Electronic Measurement Technology

基　　金：新疆维吾尔自治区高校科研计划项目(XJEDU2014S068)资助。

摘　　要：利用随机共振具有对被测信号信噪比要求不高和变废为宝的优势,以二阶欠阻尼线性系统作为研究对象,在阻尼系数和固有频率同时受耦合高斯噪声影响下,探究了系统中随机共振现象。首先采用概率论相关数学方法,推导出系统平均输出幅值增益精确表达式;接着采用MATLAB仿真软件进行数据模拟,得出平均输出幅值增益随各个参数的变化规律;然后将此变化规律应用于实际信号检测中。实例仿真表明,选取适当的系统参数能在耦合高斯噪声背景下有效检测有用信号。Using stochastic resonance, which had the advantages of not demanding the signal-to-noise ratio of the measured signal and turning waste into wealth, selected second-order under damped linear system as the research object, and explored the phenomenon of stochastic resonance.Firstly, the accurate expression of the average output amplitude gain of the system was derived by using the mathematical method of probability theory. Then, the data was simulated by MATLAB simulation software, and the variation law of the average output amplitude gain with each parameter was obtained. Then, the variation law was applied to the actual signal detection. The simulation results show that selecting the appropriate system parameters can effectively detect useful signals under the background of coupling gaussina noise.

关 键 词：随机共振 耦合高斯噪声 平均输出幅度增益 

分 类 号：TP39[自动化与计算机技术—计算机应用技术]