We investigate the maximum coding rate achievable on a two-user broadcastchannel for the case where a common message is transmitted with feedback usingeither fixed-blocklength codes or variable-length codes. For thefixed-blocklength-code setup, we establish nonasymptotic converse andachievability bounds. An asymptotic analysis of these bounds reveals thatfeedback improves the second-order term compared to the no-feedback case. Inparticular, for a certain class of anti-symmetric broadcast channels, we showthat the dispersion is halved. For the variable-length-code setup, wedemonstrate that the channel dispersion is zero.
展开▼
