Abstract
In view of existing questions of misjudgment, low efficiency, and error in detecting weak signal using chaos critical state. The basic form of Duffing equation is firstly established and analyzed in this paper; and then, it describes the principle of weak signal detection based on the change of phase trace; The influence of Noise to weak signal detection performance is researched using chaos critical state detection method; Stochastic resonance phenomenon of the small-signal two-dimensional nonlinear system is found, and that, the research in the paper provides some foundation for enhancing detection signal SNR under the strong noise background and a new way for detecting weal signal using stochastic resonance
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