Duffing振子微弱信号检测方法的统计特性研究

The Statistical Characteristics of Weak Signal Detection Based on Duffing Oscillator

利用混沌振子可以检测极其微弱的信号，并且具有很多优点.本文根据随机微分方程理论，通过对噪声经过Duffing系统后统计特性的分析，确定了采用此方法检测的信噪改善比，从而为该方法的实际应用提供了指导并且，本文针对周期系数线性微分方程的特点。

Chaotic oscillator can detect very weak signals,and has many merits compared with other detection methods. In this paper, the equation of the maximum SNIR is determined with the analysis of the statistical characteristics of the output noise from the Duffing system, based on the theory of linear system and stochastic differential equations. The equation provides a guidance to practical application. Additionally, we put forward a new approach to solve the output statistical characteristics of the linear differential equation with cyclic parameters under the perturbation of noise.