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针对数字通信和雷达等系统数字处理过程中经常使用的复信号,提出一个新的复Duffing方程,分析了其动力学行为.通过计算最大李氏指数和功率谱,证明该系统在不同参数下经暂态到达稳态后存在混沌行为和大尺度周期行为.基于此方程提出一种Duffing型复混沌振子检测系统,它利用混沌系统在临界混沌状态下对参数的敏感性及对一定功率范围内的噪声具有免疫力的特性来检测湮没在复高斯白噪声中的微弱复信号.Monte-Carlo仿真实验表明,在保证较低虚警率的条件下,该检测系统对复单频信号和复线性调频信号都有较好的检测效果.
Aiming at complex signals frequently used in digital processing such as digital communication and radar, a new complex Duffing equation is proposed and its dynamic behavior is analyzed. By calculating the maximum Lee’s index and power spectrum, it is proved that the system under different parameters Based on this equation, a Duffing-type complex chaotic oscillator detection system is proposed, which uses the sensitivity of the chaotic system to the parameters in the critical chaos state and the detection of the chaotic behavior in a certain power range Noise is immune to detect faint complex signals annihilated in complex Gaussian white noise.Monte-Carlo simulation experiments show that under the condition of ensuring a low false alarm rate, the detection system of complex single-frequency signal and complex linear frequency modulation Signal has a good detection effect.