On the Capacity of Channels With Timing Synchronization Errors
| Autor: | Paul H. Siegel, Aravind R. Iyengar, Jack K. Wolf |
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| Rok vydání: | 2016 |
| Předmět: |
FOS: Computer and information sciences
010302 applied physics Information Theory (cs.IT) Computer Science - Information Theory 020206 networking & telecommunications 02 engineering and technology Mutual information Code rate Library and Information Sciences 01 natural sciences Upper and lower bounds Synchronization Computer Science Applications Channel capacity 0103 physical sciences Convergence (routing) 0202 electrical engineering electronic engineering information engineering State space Algorithm Computer Science::Information Theory Information Systems Mathematics Communication channel |
| Zdroj: | IEEE Transactions on Information Theory. 62:793-810 |
| ISSN: | 1557-9654 0018-9448 |
| DOI: | 10.1109/tit.2015.2504358 |
| Popis: | We consider a new formulation of a class of synchronization error channels and derive analytical bounds and numerical estimates for the capacity of these channels. For the binary channel with only deletions, we obtain an expression for the symmetric information rate in terms of subsequence weights which reduces to a tight lower bound for small deletion probabilities. We are also able to exactly characterize the Markov-1 rate for the binary channel with only replications. For a channel that introduces deletions as well as replications of input symbols, we design approximating channels that parameterize the state space and show that the information rates of these approximate channels approach that of the deletion-replication channel as the state space grows. For the case of the channel where deletions and replications occur with the same probabilities, a stronger result in the convergence of mutual information rates is shown. The numerous advantages this new formulation presents are explored. 23 pages, 5 figures, submitted to the IEEE Transactions on Information Theory, Feb 2013. Summary of some results presented at ISIT 2011 (http://arxiv.org/abs/1106.0070) Revised Feb 2015 |
| Databáze: | OpenAIRE |
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