  Full-duplex (FD) allows the exchange of data between nodes on the same
temporal and spectrum resources, however, it introduces self interference (SI)
and additional network interference compared to half-duplex (HD). Power control
in the FD networks, which is seldom studied in the literature, is promising to
mitigate the interference and improve the performance of the overall network.
In this work, we investigate the random and deterministic power control
strategies in the FD networks, namely, constant power control, uniform power
control, fractional power control and ALOHA-like random on-off power control
scheme. Based on the obtained coverage probabilities and their robust
approximations, we show that power control provides remarkable gain in area
spectrum efficiency (ASE) and energy efficiency (EE), and improves the fairness
among the uplink (UL) and downlink (DL) transmissions with respect to the FD
networks. Moreover, we evaluate the minimum SI cancellation capability to
guarantee the performance of the cell-edge users in FD networks. Generally,
power control is helpful to improve the performance of the transmission for
long distance in the FD networks and reduce the requirement of SI cancellation
capability.
