On the Capacity Region of Broadcast Packet Erasure Relay Networks with Feedback

We derive a new outer bound on the capacity region of broadcast traffic in multiple input broadcast packet erasure channels with feedback, and extend this outer bound to packet erasure relay networks with feedback. We show the tightness of the outer bound for various classes of networks. An important engineering implication of this work is that for network coding schemes for parallel broadcast channels, the “xor” packets should be sent over correlated broadcast subchannels.