Rate Regions for the Partially-Cooperative Relay Broadcast Channel with Non-causal Side Information

In this paper, the authors consider a Partially Co-operative Relay Broadcast Channel (PC-RBC) controlled by random parameters. They provide rate regions for two different situations: when Side Information (SI) Sn on the random parameters is non-causally known at both the source and the relay and, when side information Sn is non-causally known at the source only. These achievable regions are derived for the general discrete memoryless case first and then extended to the case when the channel is degraded Gaussian and the SI is additive i.i.d. Gaussian. In this case, the source uses Generalized Dirty Paper Coding (GDPC), i.e., DPC combined with partial state cancellation, when only the source is informed, and DPC alone when both the source and the relay are informed.