Robust weighted sum-rate maximization over full-duplex multi-user MIMO systems under imperfect CSIT

We consider a full-duplex (FD) multi-user multiple-input multiple-output (MIMO) system where the base-station (BS) serves multiple uplink (UL) and downlink (DL) users simultaneously. We address the robust weighted sum-rate maximization (WSRM) problem, in which the transmitted rate over an arbitrary link is maximized subject to transmit power constraints imposed at the FD base-station and UL users. A convergent iterative algorithm is proposed where the initial sum-rate and the transmit precoding are initialized primarily so as to obtain the initial weight matrices and receive filters. Afterwards, using these initial parameters, the beamforming vectors are calculated via solving the robust WSRM problem which can be casted as a second order cone programming (SOCP). At the end, the optimal achievable sum-rate is calculated from the designed parameters provided that a predefined stopping criteria is met. The proposed design is evaluated via numerical simulation.