Duffing振子的两种检测微弱信号的方法及区别

分析了Duffing振子的混沌运动特征，阐述了两种检测微弱信号的方法：一是利用该振子对与参考信号角频差较小的周期小信号的敏感性、对白噪声及参考信号角频差较大的周期的免疫力来检测微弱信号，二是通过改变噪声强度或调节系统本身的参数产生随机共振来提取微弱信号。对两种方法的机理进行了比较，指出了二者的区别。

Two Methods of Weak Signal Detection of Duffing Oscillator and their Difference

This paper gives two methods of weak signal detection by the chaotic characteristics of Duffing oscillator: One method is making use of the oscillator sensibility to the small signal having the tiny angular frequency difference with the referential signal and immunity against the random noise and the larger interference signal having larger angular frequency difference with the referential signal to detect weak signal, the other is making use of altering intension of noise or adjusting system parameter to extract weak signal by producing stochastic resonance. This paper compares the mechanism of the two methods and gives their differences.