基于混沌振子的微弱信号检测方法研究

The Reaserch of Weak Signal Detection Based on Chaos Oscillator Theory

分析了Duffing方程的基本形式以及Duffing振子的混沌运动,阐述了基于相平面变化进行微弱信号检测的工作原理,并推导出系统发生间歇混沌现象的频差条件和相位差对于系统特性的影响。试验证明:该振子对与参考信号频差较小的周期小信号具有敏感性,对白噪声和与参考信号频差较大的干扰信号具有免疫力。

This paper analyzes the basic form of Duffing equation and the chaotic motion of the Duffing oscillator, describes the principle of weak signal detection based on the change of phase trace. The frequency difference condition of the intermittent chaos happening and the effect of phase difference on system performance are deduced. It is concluded that the oscillator is sensitive to the small signal having the tiny frequency difference with the referential signal, and immune against the random noise and interference signal having larger frequency difference with the referential signal.