CHAOS IN PHASE-LOCKED LOOPS

被引:6
作者
CHOU, JH
CHU, YH
CHANG, S
机构
[1] Department of Electrical Engineering, National Tsing Hua University, Hsin Chu
关键词
CHAOS; PHASE-LOCKED LOOPS;
D O I
10.1049/el:19910466
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The chaotic behaviour of phase-locked loops (PLL) in tracking a received signal whose frequency is varying linearly with time is studied. This system is described by a third-order nonlinear autonomous equation. The Lyapunov exponents and dimension of the system are calculated to confirm the chaotic phenomenon. Numerical results indicate that the parameter ranges where the chaos could occur are realistic in the typical designs.
引用
收藏
页码:750 / 751
页数:2
相关论文
共 6 条
[1]   CHAOS FROM 3RD-ORDER PHASE-LOCKED LOOPS WITH A SLOWLY VARYING PARAMETER [J].
CHU, YH ;
CHOU, JH ;
CHANG, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (09) :1104-1115
[2]   CHAOS FROM PHASE-LOCKED LOOPS [J].
ENDO, T ;
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (08) :987-1003
[3]  
Endo T., 1988, IEEE T CIRCUITS SYST, V36, P255
[4]   THE DOUBLE SCROLL [J].
MATSUMOTO, T ;
CHUA, LO ;
KOMURO, M .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1985, 32 (08) :797-818
[5]   NUMERICAL APPROACH TO ERGODIC PROBLEM OF DISSIPATIVE DYNAMICAL-SYSTEMS [J].
SHIMADA, I ;
NAGASHIMA, T .
PROGRESS OF THEORETICAL PHYSICS, 1979, 61 (06) :1605-1616
[6]  
Viterbi A., 1966, PRINCIPLES COHERENT