Stability of Synchronized States in One Dimensional Networks of Second Order PLLS
Stability of Synchronized States in One Dimensional Networks of Second Order PLLS
复制标题
二阶PLLS一维网络同步状态的稳定性
DOI：
10.1142/s0218127497000479
复制
发表时间：
1997
影响因子：
2.2
通讯作者：
S. Oishi
中科院分区：
文献类型：
--
作者：
Hisa;M. D. S. Vieira;A. Lichtenberg;M. Lieberman;S. Oishi
同步分布式时钟是数字通信系统中的基本组成部分。传统的系统主要采用级联定时时钟的树状网络用于同步时钟。另一方面，从数字通信的非常早期阶段就已经提出的定时时钟的分散式同步网络在消费者通信网络中以及最近在大型高性能数字系统（诸如多处理器）时钟中获得了关注。本文对由局部连接的二阶锁相环组成的时钟同步网络进行了理论研究。我们发现一阶和二阶网络的稳定性之间有密切的联系。详细分析了带滞后超前滤波器和三角形鉴相器的单向和双向最近邻耦合的具体例子。同步同相的解决方案和波一样的“锁模”的解决方案进行了检查。单向耦合网络的稳定性的判据，而双向耦合网络被发现是总是稳定的。
Synchronous distributed timing clocks are the basic building blocks in digital communication systems. Conventional systems mainly employ a tree-like network of cascaded timing clocks for synchronous clocking. On the other hand, decentralized synchronous networks of timing clocks, which have been proposed from a very early stage of the digital communication, are gaining attention in the consumer communication networks and also recently in large, high-performance digital systems (such as multiprocessors) clocking. In this paper, we present a theoretical study of synchronous networks of timing clocks consisting of locally connected second order phase-locked loops (PLLs). We find a close connection between the stability properties of the first and second order networks. The particular examples of one way and two way nearest neighbor coupling, with a lag-lead filter and a triangular phase detector (PD) are analyzed in detail. Both the synchronized in-phase solution and the wave-like "mode-lock" solution are examined. A criterion is found for the stability of the one-way coupled network while the two-way coupled network is found to be always stable.