  In this paper, we investigate power efficient resource allocation algorithm
design for multiuser wireless communication systems employing a full-duplex
(FD) radio base station for serving multiple half-duplex (HD) downlink and
uplink users simultaneously. We propose a multi-objective optimization
framework for achieving two conflicting yet desirable system design objectives,
i.e., total downlink transmit power minimization and total uplink transmit
power minimization, while guaranteeing the quality-of-service of all users. To
this end, the weighted Tchebycheff method is adopted to formulate a
multi-objective optimization problem (MOOP). Although the considered MOOP is
non-convex, we solve it optimally by semidefinite programming relaxation.
Simulation results not only unveil the trade-off between the total downlink and
the total uplink transmit power, but also confirm that the proposed FD system
provides substantial power savings over traditional HD systems.
