Reaserch of Weak Signal Detection based on Chaos Oscillator Theory

This paper first analyzes the basic form of Duffing equation and the chaotic motion of the Duffing oscillator,and then 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,by simulation experiments results,that the oscillator is sensitive to the small signal having the tiny angular frequency difference with the referential signal,and immune against the random noise and interference signal having larger angular frequency difference with the referential signal.