随机共振在微弱信号检测中的数值仿真

对基于非线性双稳系统随机共振的微弱信号检测技术进行数值研究,利用随机共振机制,浸入在噪声中的微弱信号可以得到有效的放大与增强。给出了基于Runge Kutta算法的双稳系统随机共振模型的求解方法,提出了利用随机共振检测微弱非周期信号的一种新思路。数值仿真结果表明,该方法不仅可以检测出强噪声极低频的微弱周期信号,而且可以对非周期信号进行有效的检测。

Numerical Simulation of Stochastic Resonance in Bistable System for Detecting Weak Signal

This paper deals with the numerical simulation of stochastic resonance (SR) for detection weak signal. SR is a nonlinear phenomenon generally occurring in dynamical bistable systems excited by noisy periodic signals. Through SR, weak signals immerged in heavy noise can be amplified and optimized by assistance of noise, due to the interplay between noise sources and nonlinearity of the system. We present the numerical method to solve the bistable SR model based on Runge-Kutta algorithm, and propose a new kind of approach for detecting weak signal, which can effectively detect both period and aperiodic weak signals corrupted by the strong noise background.