A REVIEW OF CHAOS AND NONLINEAR DYNAMICS IN PHASE-LOCKED LOOPS

被引：23

作者：

ENDO, T

机构：

[1] Department of Electronics and Communication, Meiji University, Kawasaki, 214, Higashi-Mita

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 1994年 / 331B卷 / 06期

关键词：

D O I：

10.1016/0016-0032(94)90091-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper reviews recent results on nonlinear dynamics and chaos in phase-locked loops (PLLs). A phase-locked loop is a versatile integrated circuit device mainly used in communication systems. When it is locked, the dynamics obey mostly linear theory, and it is analyzed traditionally by using the transfer function. However, when it is out-of-lock or when it is in the process of locking, the dynamics become nonlinear and the analysis becomes fairly difficult. in fact, various phenomena inherent to nonlinear systems such as complex bifurcations and chaos can occur in phase-locked loops. In this paper, toe will present first, what is a phase-locked loop, and then derive the nonlinear differential equation describing the PLL. We will proceed to nonlinear analysis of PLLs including traditional lock range, pull-in range and chaos, etc.

引用

页码：859 / &

共 27 条

[1]

Chen, Phase-locked loop bandwidth and signal-to-noise ratio requirements for deep-space communications, IEEE Transactions on Aerospace and Electronic Systems, 7 AES, pp. 988-994, (1971)

[2]

Richman, Color-carrier reference phase synchronization accuracy in NTSC color television, Proceedings of the IRE, 42, pp. 106-188, (1954)

[3]

Khadhouri, Al-Araji, Allow, Fast switching frequency synthesizer employing adptive phase locked loops, IEEE Transactions on Consumer Electronics, 31 CE, pp. 680-686, (1985)

[4]

Viterbi, Principle of Coherent Communication, pp. 14-17, (1966)

[5]

Gardner, Phaselock Technique, (1966)

[6]

Woodbury, Phase-locked loop pull-in range, IEEE Transactions on Communications, 16 COM, (1968)

[7]

Endo, Chua, Chaos from phase-locked loops, IEEE Trans. Circuits & Syst., 35 CAS, pp. 987-1003, (1988)

[8]

Endo, Tada, Analysis of pull-in range of phase-locked loops by Galerkin method, IEICE Trans., 68 BJ, pp. 236-243, (1985)

[9]

Linear Databook, pp. 9-35, (1978)

[10]

Linear Databook, pp. 9-39, (1978)

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