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中文摘要：
判别Duffing混沌系统所处的状态是采用Duffing混沌振子进行微弱周期信号检测的关键问题.本文针对系统在混沌和大周期两种状态相图的明显区别,提出了一种基于相图分割的系统状态判定方法.该方法首先在相图中做一简单闭合区域,进而通过统计相轨迹点处于区域外的数量来识别系统的状态.给出了实现该方法的主要步骤,并从微弱信号检测成功率和运算复杂度的角度进行了分析.实验结果表明该方法可用于30 d B信噪比下弱正弦信号的检测,并且硬件实现简单.
英文摘要：
In the weak periodic signal detection systems which use Duffing chaotic oscillator, the key problem is how to discriminate the state of Duffing chaotic system. In view of the obvious differences between two kinds of system phase diagrams, chaos and large cycle, a new system status determination method that based on the phase diagram segmentation is proposed. By means of making a simple area in the phase diagram, the points on the phase track are separated into two parts, and then the state of the system can be deduced by identifying which area the points are mainly located in. The main steps of the method are given. The correct recognition rate and the computation complexity are analyzed. It shows that this method is not only feasible for weak sinusoidal signal detecting with 30 d B signal-to-noise-ratio, but also simple for implementation.
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