基于随机共振的不同非线性系统的微弱信号检测性能分析

Performance Analysis on Weak Signal Detection of Different Nonlinear Systems

从随机共振基本原理出发，分析研究了随机共振应用于强噪声背景下的微弱信号检测问题。由于随机共振是非线性系统（单稳、双稳以及多维多稳系统）中的一种动力学现象，采用不同的非线性系统，因其非线性结构的不同，对微弱信号的检测性能也不同。文章采用Matlab中的Simulink工具进行仿真，比较分析了常用的一维双稳Langevin系统和二维双稳Duffing系统在不同信噪比条件下对微弱信号的检测性能。

The stochastic resonance applies to the weak signal detection problem under strong noise background from the basic principle of stochastic resonance is analyzed and studied in this paper, Since stochastic resonance is a sort of dynamics phenomenon of nonlinear system （single steady, bistable as well as multidimensional and multistable system）, and adopting different nonlinear system, because of the difference of its nonlinear structure, the performance of weak signal detection is also different. In this paper, the Simulink tool of Matlab is adopted to carry out the simulation, the performance of weak signal detection between the commonly used unidimensional bistable Langevin system and two-dimensional bistable Doffing system is compared with under the different signal-tonoise ratio condition.