  We characterize the uplink (UL) and downlink (DL) rates of a full-duplex
cloud radio access network (C-RAN) with all participate and single best remote
radio head (RRH) association schemes. Specifically, multi-antenna equipped RRHs
distributed according to a Poisson point process is assumed. The UL and DL sum
rate of the single best RRH association scheme is maximized using receive and
transmit beamformer designs at the UL and DL RRHs, respectively. In the case of
the single best strategy, we study both optimum and sub-optimum schemes based
on maximum ratio combining/maximal ratio transmission (MRC/MRT) and
zero-forcing/MRT (ZF/MRT) processing. Numerical results show that significant
performance improvements can be achieved by using the full-duplex mode as
compared to the half-duplex mode. Moreover, the choice of the beamforming
design and the RRH association scheme have a major influence on the achievable
full-duplex gains.
