In this paper, we investigate the power efficient resource allocationalgorithm design for secure multiuser wireless communication systems employinga full-duplex (FD) base station (BS) for serving multiple half-duplex (HD)downlink (DL) and uplink (UL) users simultaneously. We propose amulti-objective optimization framework to study two conflicting yet desirabledesign objectives, i.e., total DL transmit power minimization and total ULtransmit power minimization. To this end, the weighed Tchebycheff method isadopted to formulate the resource allocation algorithm design as amulti-objective optimization problem (MOOP). The considered MOOP takes intoaccount the quality-of-service (QoS) requirements of all legitimate users forguaranteeing secure DL and UL transmission in the presence of potentialeavesdroppers. Thereby, secure UL transmission is enabled by the FD BS andwould not be possible with an HD BS. The imperfectness of the channel stateinformation of the eavesdropping channels and the inter-user interferencechannels is incorporated for robust resource allocation algorithm design.Although the considered MOOP is non-convex, we solve it optimally bysemidefinite programming (SDP) relaxation. Simulation results not only unveilthe trade-off between the total DL transmit power and the total UL transmitpower, but also confirm the robustness of the proposed algorithm againstpotential eavesdroppers.
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