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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

The phenomenon of stochastic resonance based on two-dimensional bistable Duffing system under the conditions of small signal is analyzed in this paper; the detection methods of faint random binary code based on stochastic resonance technique of Duffing system is presented, Using this method, under the conditions of no knowing detection signal any priori knowledge, the detection signal waveform can be estimated, what’s more, the ratio of signal to noise of detecting weak random binary code can be achieved -25dB below, and the computer simulation verifies the method effectiveness. As a result, the research in the paper provides the a feasible and efficient method of weak random binary code detection under the conditions of Strong noise background