The capacity region of a class of Relay-Broadcast Channels and relay channels with three parallel unmatched subchannels

The Partially Cooperative Relay-Broadcast Channel (PC-RBC) is a generalization of Relay Channel in which the relay node decodes its own private message. In this paper, we introduce a class of parallel PC-RBCs with three unmatched subchannels, in which the first component of the channel is assumed to be degraded, the second to be orthogonal and the third to be deterministic. We characterize the capacity region of this channel for the case where the source sends a private message for each of the users. We also investigate a class of parallel relay channels with three unmatched subchannels, in which the first component of the channel is degraded, the second is orthogonal and the third is semi-deterministic, and characterize the capacity of it. Our capacity results enlarge the family of PC-RBCs and relay channels for which the capacity region is known.