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研究了利用混沌相变进行弱信号检测的理论及仿真试验.对基于Duffing振子初值敏感性检测弱信号的方法分析后指出,过渡过程会影响检测性能,提出一种改进的弱信号检测方法.对仿真输入噪声生成和仿真步长选择进行研究后建立了仿真模型,在典型噪声背景下检测弱正弦信号.实验结果表明:所提出的方法有较好检测性能;混沌临界态的Duffing系统对噪声敏感导致相变方法难以精确确定最小检测幅值.指出了这类方法的局限性.
The theory and simulation of weak signal detection using chaotic phase transition are studied.After analyzing the weak signal detection method based on initial sensitivity of Duffing oscillator, it is pointed out that the transition process will affect the detection performance, and an improved weak signal detection method is proposed. After simulation of input noise generation and simulation step selection, the simulation model is established and the weak sinusoidal signal is detected under the background of typical noises. The experimental results show that the proposed method has better detection performance, and the Duffing system with chaotic critical states is sensitive to noise It is difficult to accurately determine the minimum detection amplitude due to the sensitivity of the phase transition method, and the limitation of this kind of method is pointed out.