中文摘要：

针对强噪声中微弱信号的盲检测问题,研究了待检信号与Duffing系统内置信号频差和相差对系统相图的影响,指出由于频差的存在,Duffing系统相轨迹演化将进入周期性混沌状态。通过建立正相振子和反相振子检测方程以及相图分段处理,提出了Duffing振子微弱信号盲检测识别算法并建立了盲检测模型。仿真实验表明，在-40dB信噪比下仍然可以有效实现对微弱信号的盲检测。

英文摘要：

The influence of the frequency difference between the object signal and driving force of Duffing system is studied in blind detection of the weak signal submerged in the strong noise. The conclusion reaches that the phase trajectory evolution is in a periodic chaos state due to the frequency difference. Through the building of the normal and reverse phase oscillator detection equations and segmenting of the phase trajectory, an algorithm and a model to detect the weak signal blindly are proposed. The simulation experiment results show the efficiency of the blind detection algorithm.