Worst-case robust sum rate maximization for full-duplex bi-directional MIMO systems under channel knowledge uncertainty

In this paper we address a worst-case weighted sum rate maximization problem for a full-duplex (FD) and point-to-point (P2P) system. The effects of channel-state information (CSI) error, as well as the signal distortion due to hardware impairments are jointly taken into account. Due to the intractable structure of the resulting problem, a weighted minimum mean squared error (WMMSE) method is applied to cast the rate maximization into a separately convex optimization problem, which can be iteratively solved with a guaranteed convergence. The provided rate maximization framework is also shown to provide a converging minimum mean squared error (MMSE) design as a special case. Moreover, a methodology to obtain the least favorable error matrices is proposed by casting the resulting non-convex quadratic optimization into a convex problem. The achievable guaranteed (worst-case) rate is then numerically studied, over different levels of CSI error intensity, transceiver accuracy, and available transmit power.

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