摘要：Weak signal detection based on Duffing oscillator, which is sensitive to certain signals and immune to noise, has become a hit of academic research. But most of researches and applications are just in data numerical simulations. This paper gives a statistically theoretical investigation according to noise equivalent transformation and experimental simulation for this very important weak signal detection technique. Then this immunity to noise of Duffing oscillator is applied in weak UWB signal detection. The theoretical analysis and data simulation results show that Duffing oscillator is immune to the white noise in statistical sense. Furthermore, the applications in weak UWB signal detection also demonstrate that the immunity to noise of Duffing oscillator is effective in detecting the weak received UWB information of long distance.
关键词：noise immunity;Duffing oscillator;weak signal detection, UWB (ultra-wide band)
