Common-Message Broadcast Channels with Feedback in the Nonasymptotic Regime: Full Feedback [article]

Kasper Fløe Trillingsgaard and Wei Yang and Giuseppe Durisi and Petar Popovski
<span title="2018-08-30">2018</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We investigate the maximum coding rate achievable on a two-user broadcast channel for the case where a common message is transmitted with feedback using either fixed-blocklength codes or variable-length codes. For the fixed-blocklength-code setup, we establish nonasymptotic converse and achievability bounds. An asymptotic analysis of these bounds reveals that feedback improves the second-order term compared to the no-feedback case. In particular, for a certain class of antisymmetric broadcast
more &raquo; ... annels, we show that the dispersion is halved. For the variable-length-code setup, we demonstrate that the channel dispersion is zero.
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