Self-synchronization of second order PLLs in communication networks

Hisa Aki Tanaka*, Maria de Sousa Vieira, Allan J. Lichtenberg, Michael A. Lieberman, Shin'ichi Oishi

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


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 VLSI 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. The existence of a wave-like state is undesirable in synchronizing networks, but may be removed by its destabilization.

Original languageEnglish
Pages (from-to)695-698
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
Publication statusPublished - 1996 Jan 1
EventProceedings of the 1996 IEEE International Symposium on Circuits and Systems, ISCAS. Part 1 (of 4) - Atlanta, GA, USA
Duration: 1996 May 121996 May 15

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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