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A Method for Modeling and Analysis of the Reframing Performance of Multilevel Synchronous Time Division Multiplex Hierarchies

This paper presents a method for modeling the operation of the frame synchronization algorithms of the several levels of a synchronous time division multiplex hierarchy as a Markov chain. A method, discussed elsewhere by one of the authors, is used to drastically reduce the number of states in the M...

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Bibliographic Details
Published in:IEEE transactions on communications 1980-08, Vol.28 (8), p.1219-1228
Main Authors: Shyan-Shiang Liu, Hammond, J.
Format: Article
Language:English
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Summary:This paper presents a method for modeling the operation of the frame synchronization algorithms of the several levels of a synchronous time division multiplex hierarchy as a Markov chain. A method, discussed elsewhere by one of the authors, is used to drastically reduce the number of states in the Markov chain and make a numerical calculation of the mean first passage times possible. The mean reframing times as a function of appropriate parameters are determined for three examples, with one approaching the complexity of a practical system. A determination of the same quantities by methods unrelated to the proposed approach gives results which are in excellent agreement.
ISSN:0090-6778
1558-0857
DOI:10.1109/TCOM.1980.1094776