Two-way master-slave double-chain networks: limitations imposed by linear master drift for second order PLLs as slave nodes

Author

Piqueira, J.R.C. ; Castillo-Vargas, S.A. ; Monteiro, L.H.A.

Author_Institution

Departamento de Engenharia de Telecomunicacoes e Controle, Sao Paulo Univ., Brazil

Volume

9

Issue

9

fYear

2005

fDate

9/1/2005 12:00:00 AM

Firstpage

829

Lastpage

831

Abstract

Distribution of precise time signals among the nodes of a network is a fundamental requirement for digital transmission and switching systems in telecommunication and control. Cideciyan et al., (1987) conjectured that two-way master-slave (TWMS) networks present, in the general case, a better performance than one-way master-slave (OWMS) considering the long term linear master frequency drift. In this work we study the TWMS case using dynamical system theory showing that, due to the effects of long-term clock instabilities, the steady-state frequency-error is unstable for a number of slaves higher or equal than four, limiting the use of this kind of architecture.

Keywords

Routh methods; asymptotic stability; digital phase locked loops; linear systems; switching networks; telecommunication control; telecommunication network topology; TWMS; digital transmission; dynamical system theory; linear master frequency drift; phase locked loop; precise time signals distribution; second order PLL; steady-state frequency-error; telecommunication switching system; two-way master-slave double chain networks; ANSI standards; Automation; Clocks; Control systems; Frequency; Master-slave; Phase locked loops; Synchronous digital hierarchy; Telecommunication control; Telecommunication network topology;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2005.1506717

Filename

1506717