Abstract: This paper considers a multiuser system with one full-duplex (FD) base station (BS) serving a set of half duplex (HD) mobile users. Due to the self-interference and co-channel interference from the uplink users to the downlink users, the transmissions of the BS and uplink users have to jointly designed. In this paper, we consider such a joint design problem for maximizing the max-min-fairness (MMF) signal-to-interference-plus-noise ratio of the mobile users. While the considered design problem is non-convex and difficult to solve in general, we show in this paper that the problem can actually be globally solved in a polynomial-time complexity if the residual SI has a spatially white channel covariance matrix. The proposed optimal method is insightful, revealing interesting problem structures of the FD joint design problem. Simulation results are presented to show that the optimal method outperforms the existing suboptimal method and the MMF design in HD systems.
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