基于duffing方程组的微弱正弦信号参数检测

Parameter Detection of Weak Sine Signal Based on the Duffing Equations

本文将非线性混沌振子用于微弱正弦信号检测,将深陷在噪声背景下的微弱正弦信号检测出来。基于Duffing振子的混沌运动,利用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,采用混沌振子阵列实现对噪声背景下微弱信号的检测,提出了改进的频率、相位、幅值检测方法。

In this paper, the nonlinear chaotic oscillator is used to detect weak sine signals from background noise. Based on the chaotic motion of the Duffing oscillator, the frequency difference condition of the intermittent chaos happening and the effect of phase difference on system performance are deduced. The chaotic oscillator array is applied to detect weak signal in noise background; and improved methods to detect frequency, phase and amplitude are discussed.