Feedback Halves the Dispersion for Some Two-User Broadcast Channels with Common Message

Paper i proceeding, 2017

We investigate the maximum coding rate achievable on a two-user broadcast channel for the case where a common- message is transmitted using fixed-blocklength codes with feed- back. Specifically, we focus on a family of broadcast channels com- posed of two antisymmetric Z-channels. For this setup, we obtain matching upper and lower bounds on the dispersion term in the asymptotic expansion of the maximum coding rate. These bounds reveal that the dispersion is halved compared to the no-feedback case.