延迟双稳系统中乘性和加性噪声诱导的随机共振  

Stochastic resonance induced by multiplicative and additive noise in time-delayed bistable system

作　　者：朱福成[1] 李凤保[2] 雷晓燕[2] 郭锋[3] 

机构地区：[1]绵阳职业技术学院,四川绵阳621000 [2]中国工程物理研究院电子工程研究所,四川绵阳621900 [3]西南科技大学信息工程学院,四川绵阳621010

出　　处：《浙江大学学报（工学版）》2013年第1期88-93,共6页Journal of Zhejiang University：Engineering Science

摘　　要：在双稳系统基础上,基于随机共振(SR)理论,研究非对称双值噪声、方波信号以及乘性和加性噪声驱动的延迟双稳系统中噪声强度、噪声相关时间、方波幅度对系统输出信噪比(SNR)的影响.在绝热极限条件下,利用小延迟近似,得到系统输出信噪比的表达式,给出SNR随噪声强度、噪声相关时间以及方波信号幅度的变化曲线.结果表明,SNR与双值噪声的强度和非对称性、与乘性和加性噪声的强度以及与方波信号的幅度关系都表现出SR现象.SNR随延迟时间、色噪声的相关时间及系统参数的变化而非单调变化.Based on a bistable system, the effect of noise intensity, noise correlation time, the amplitude of a square-wave signal {or a time-delayed bistable system, driven by an asymmetric dichotomous noise, the square-wave signal, as well as by additive and multiplicative noise, on the system output signal-to-noise ra- tio （SNR） was analyzed by applying the stochastic resonance （SR） theory. Under the adiabatic limit condi- tion, the expression of the SNR of the system was obtained by using the small delay-time approximation. The curves of the output SNR as a function of the noise strength, noise correlation time, and the amplitude of the square-wave signal were plotted. Results show that the SNR curves present SR phenomenon as a function of the intensity and asymmetry of dichotomous noise, of the strength of the multiplicative and ad- ditive noise, as well as of the amplitude of the square-wave. In addition, the SNR varies non-monotonously with the delayed-time, with the correlation time of the colored noises and with the system parameters.

关 键 词：随机共振 延迟时间 色噪声 信噪比(SNR) 

分 类 号：TN752[电子电信—电路与系统]