Capacity Region of the Bidirectional Broadcast Channel with Causal Channel State Information

Abstract:
We consider the broadcast channel with one transmitter and two receivers such that the transmitter wishes to convey two independentmessages to each receiver, respectively. When each receiver knows the intended message for the other one, as a side information the channel is referred to as the bidirectional broadcast channel. In this work, we establish the capacity region of the discrete memoryless bidirectional broadcast channel with state whose knowledge is causally known at the encoder. Further, we present an Ariomoto–Blahut-like algorithm to compute the capacity region numerically.