摘要
混沌是非线性系统中一种复杂动力学行为,锁相环频率合成器是在跳频通信中被广泛采用的一个非线性负反馈控制系统,其中混沌的存在影响了频合成器的频谱纯度。本文从杂散的角度出发对锁相跳频频率合成器中混沌现象进行了研究.提出了环路混沌的数学模型,导出了环路的微分方程,用Melnikov方法证明了频率合成器中混沌的存在,并给出了产生混沌的条件。
Abstract The chaos in PLL frequency hopping synthesizer is stuelied in this paper,chaos is one of the complicated dynamics in linear system. the PLL frequency hopping synthesizer is a non—linear control system with negative feedbalk widely used in frequency hopping communication,and the existence of chaos in it reduces the synthesizer frequenly spectrums clearness,but how does chaos occur,in the paper,this problem is theoretically discussed from the view of spurs. A mathematical model of chaotic synthesizer is put forward,from which the PLL differential equation is derived and the existence of the chaos is proked by means of melinikov method; the conditions for its existence are also giken.
出处
《桂林电子工业学院学报》
1992年第2期8-14,共7页
Journal of Guilin Institute of Electronic Technology
关键词
跳频
频率合成器
锁相环
通信
frequency hopping
phase—locked loop
frequency synthesizer
chaos
