Capacity results for the multi-way relay channel with common messages
- Lawrence Ong
- 2015 IEEE International Symposium on Information…
The capacity region of the finite-field multi-way relay channel (FFMWRC) with independent private messages was established by Ong, Johnson, and Kellett (IT-2011). In this paper, we extend the capacity results to include pairwise common messages (each known to two nodes) in addition to private messages (known to only one node). We first show that the functional-decode-forward coding scheme that achieves the capacity region of the FFMWRC with independent messages is strictly suboptimal when there are common messages. We then construct a new coding scheme that achieves the capacity region of the FFMWRC with pairwise common messages.