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On the Queueing Behavior of Random Codes over a Gilbert-Elliot Erasure Channel

Parimal Parag, Jean-Francois Chamberland, Henry D. Pfister, Krishna R. Narayanan
Arxiv ID: 1006.2403Last updated: 3/26/2021
This paper considers the queueing performance of a system that transmits coded data over a time-varying erasure channel. In our model, the queue length and channel state together form a Markov chain that depends on the system parameters. This gives a framework that allows a rigorous analysis of the queue as a function of the code rate. Most prior work in this area either ignores block-length (e.g., fluid models) or assumes error-free communication using finite codes. This work enables one to determine when such assumptions provide good, or bad, approximations of true behavior. Moreover, it offers a new approach to optimize parameters and evaluate performance. This can be valuable for delay-sensitive systems that employ short block lengths.

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