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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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Published in: | IEEE transactions on communications 1980-08, Vol.28 (8), p.1219-1228 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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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. |
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ISSN: | 0090-6778 1558-0857 |
DOI: | 10.1109/TCOM.1980.1094776 |