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Common-Message Broadcast Channels with Feedback in the Nonasymptotic Regime: Full Feedback
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<span title="2018-08-30">2018</span>
<i >
arXiv
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<span class="release-stage" >pre-print</span>
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<span title="2017-06-23">2017</span>
<span class="release-stage" >pre-print</span>
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1706.07731v1">arXiv:1706.07731v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/glfpgsfrfvcyjdwkop4sakoywm">fatcat:glfpgsfrfvcyjdwkop4sakoywm</a> </span>
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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
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... 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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