取样鉴相数字合成器环中的混沌动力学行为  

Chaotic dynamics behave from sampling phase-detector digital synthesizer loop

作　　者：谭永明[1] 邓立虎[2] 

机构地区：[1]东莞理工学院电子工程系,广东东莞523106 [2]东莞理工学院应用数学研究所,广东东莞523106

出　　处：《通信学报》2006年第4期49-53,共5页Journal on Communications

基　　金：广东省科技计划基金资助项目(2003A1040312)~~

摘　　要：分析和研究取样鉴相数字合成器环中的混沌动力学行为,根据Ushio与Hira等人的方法,从理论上证明了当系统参数满足一定条件时,系统会出现分岔现象,并具体计算出系统在各个不动点处的Hopf分岔集、系统的李雅普诺夫指数以及豪斯道夫维数。通过对系统进行计算机模拟,观察到系统的奇异吸引子,奇异吸引子的自相似性,系统在混沌状态下对初始条件的灵敏依赖性,进一步证实了三角形取样鉴相数字合成器环中存在混沌现象。Chaotic dynamics behave from sampling phase-detector digital synthesizer loop was analyzed and studied. Based on the method of Ushio and Hiral etc, it was theoretically proved that the system had a bifurcation output when certain condition of the system parameters was satisfied. Hopf bifurcation set of every fixed-point of the system was particularly calculated, and the Lyapunov numbers and Hausdorf dimension of the system were calculated. By simulating with computer, the strange attractors, and self-likelihood, and sensitivity of the system rely on its first condition in chaos is observed. The existence of chaos phenomena in sampling phase-detector digital synthesizer loop is further verified.

关 键 词：数字合成器环 Hopf分岔集 混沌 奇异吸引子 自相似性 

分 类 号：TN911.7[电子电信—通信与信息系统]