Crystallized Rate Regions for Full Duplex Enabled Small Cell Networks

In this paper, we study full-duplex enabled small cell networks. We consider a two-node network, in which each node can operate in full-duplex. After treating interference as noise, we derive each node's achieved uplink and downlink rate, for both the half-duplex and full-duplex transmissions. Afterwards, the rate maximization problem used in obtaining the achieved rate region is formulated, and a very low complexity algorithm is proposed to obtain the crystallized rate regions. The idea is to explore the boundary points of the rate region and then find their convex hull. Finally, numerical analysis is presented to compare the exact achieved rate regions with the crystallized regions and to validate that the crystallized regions can approximate the exact regions with much less complexity. Also, in some cases, the rate region derived from power adaptation will be confined to the crystallized rate region; which suggests that in these cases, time-sharing will be more beneficial, in terms of data rates, than power adaptation.