On achievable rate regions at large-system limit in full-duplex wireless local access

High capacity requirements in wireless systems can be met, at the network level, by using dense small cell deployments and, at the link level, by improving spectral efficiency via spectrum reuse. In this context, we consider a small-area radio system, e.g. a pico-or femtocell, where a full-duplex access point serves simultaneously two half-duplex devices, one in downlink and one in uplink direction. All transceivers are equipped with multiple antennas exploited for spatial multiplexing. Instead of limiting the study to the total sum rate, we analyze the complete achievable rate regions of the two directions. We also take into account the effects of mismatched decoding at the receivers due to imperfect knowledge of the transceiver impairments. The analysis is conducted in the large-system limit using the replica method from statistical physics, which allows to encompass arbitrary channel input distributions. The analytical results characterize the effect of self-interference at the access point and inter-device interference on the achievable rate regions. Numerical examples for particular signaling schemes are also given.