双稳系统随机共振数值仿真中信号的过采样  

Over-Sampling of Signal in the Numerical Simulation of Stochastic Resonance in Bistable System

作　　者：杨定新[1] 胡茑庆[1] 温熙森[1] 

机构地区：[1]国防科技大学机电工程与自动化学院,长沙4100731

出　　处：《非线性动力学学报》2005年第1期85-92,共8页

基　　金：国家自然科学基金项目（50275144）

摘　　要：数值仿真方法是非线性双稳系统随机共振研究中经常使用的方法。研究中发现，随机共振数值仿真时需要对信号过采样。但过采样的内在机制是什么，已有研究未能给出解释。通过对双稳系统数值仿真模型的稳定性进行分析，给出了系统的稳定性条件，解释了需要对信号过采样的原因。在此基础，已进行了数值仿真试验，数值仿真结果与理论分析结果相一致，为双稳随机共振系统数值仿真研究时的参数选择提供了依据。Numerical simulation is the commonly used method in the study of stochastic resonance （SR） in the bistable system. It has been found the signal needs to be over-sampled during the simulation of SR. The previous research cannot give the explanation of the phenomenon. The stability of the numerical simulating system is theoretical analyzed. The stability conditions of the system are proposed and the reason for the sign.al needs to be over-sampled is interpreted. The numerical simulation results coincide with that from the theory. It provides theoretical guideline for numerical simulation of SR.

关 键 词：随机共振 双稳系统 离散模型 稳定性 

分 类 号：TN911.72[电子电信—通信与信息系统]