Processing and transmission of timing signals in synchronous networks

In order to have accurate operation, synchronous telecommunication networks need a reliable time basis signal extracted from the line data stream in each node. When the nodes are synchronized, routing and detection can be performed, guaranteeing the correct sequence of information distribution among the several users of a transmission trunk. Consequently, an auxiliary network is created inside the main network, a sub-network, dedicated to the distribution of the clock signals. There are different solutions for the architecture of the time distribution sub-network and choosing one of them depends on cost, precision, reliability and operational security. In this work we analyze the possible time distribution networks and formulate problems related to precision and stability of the timing signals by using the qualitative theory of differential equations. Correspondences between constitutive parameters of the networks and the dynamics of the spatial phase and frequency errors are established.

[1]  S. Wiggins Introduction to Applied Nonlinear Dynamical Systems and Chaos , 1989 .

[2]  Francine Berman,et al.  Master/slave computing on the Grid , 2000, Proceedings 9th Heterogeneous Computing Workshop (HCW 2000) (Cat. No.PR00556).

[3]  K. Dessouky,et al.  Network synchronization , 1985, Proceedings of the IEEE.

[4]  A. Weinberg,et al.  Discrete Time Analyses of Nonuniform Sampling First- and Second-Order Digital Phase Lock Loops , 1974, IEEE Trans. Commun..

[5]  Katsuhiko Ogata,et al.  Modern Control Engineering , 1970 .

[6]  Sohail Sheikh,et al.  Replication of multimedia data using master-slave architecture , 1997, Proceedings Twenty-First Annual International Computer Software and Applications Conference (COMPSAC'97).

[7]  Thomas Kailath,et al.  Linear Systems , 1980 .

[8]  H. Blinchikoff,et al.  All-Pole Phase-Locked Tracking Filters , 1982, IEEE Trans. Commun..

[9]  J. C. Bellamy,et al.  Digital network synchronization , 1995, IEEE Commun. Mag..

[10]  J. Carr Applications of Centre Manifold Theory , 1981 .

[11]  James P. Braselton,et al.  Maple V by example , 1994 .

[12]  S. Bregni,et al.  A historical perspective on telecommunications network synchronization , 1998, IEEE Communications Magazine.

[13]  Chong-Won Lee,et al.  The distributed controller architecture for a master arm and its application to teleoperation with force feedback , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[14]  M. Karnaugh A model for the organic synchronization of communications systems , 1966 .

[15]  B. J. Karafin,et al.  Mutual synchronization of geographically separated oscillators , 1966 .

[16]  Roy D. Cideciyan,et al.  Effects of Long-Term Clock Instability on Master-Slave Networks , 1987, IEEE Trans. Commun..

[17]  Michael J. Sexton,et al.  Transmission Networking: Sonet and the Synchronous Digital Hierarchy , 1992 .