On Gaussian MACs with Variable-Length Feedback and Non-Vanishing Error~Probabilities

2016/09/02 by Truong, Lan V., Tan, Vincent Y. F.
#FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.1609.00594

Abstract

We characterize the fundamental limits of transmission of information over a Gaussian multiple access channel (MAC) with the use of variable-length feedback codes and under a non-vanishing error probability formalism. We develop new achievability and converse techniques to handle the continuous nature of the channel and the presence of expected power constraints. We establish the ε-capacity regions and bounds on the second-order asymptotics of the Gaussian MAC with variable-length feedback with termination (VLFT) codes and stop-feedback codes. We show that the former outperforms the latter significantly. Due to the multi-terminal nature of the channel model, we leverage tools from renewal theory developed by Lai and Siegmund to bound the asymptotic behavior of the maximum of a finite number of stopping times.

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