Description

In this proposed system, considers robust transmit beamforming for multiuser multi-input single-output (MISO) downlink transmission, where imperfect channel state information (CSI) is assumed at the base station (BS). The imperfect CSI is captured by a moment-based random error model, in which the BS knows only the mean and covariance of each CSI error, but not the exact distribution. Under this error model, we formulate a distributional robust beamforming (DRB) problem, in which the total transmit power at the BS is to be minimized, while each user’s SINR outage probability, evaluated w.r.t. any distribution with the given mean and covariance, is kept below a given threshold. The system developed three convex restriction methods for robust outage constrained transmit optimization under the multiuser MISO downlink scenario. Simulation results were provided to illustrate the performance accuracies of the proposed method s. In this technical report, we further demonstrate the efficacy of the proposed methods by showing more simulation results. In particular, we will illustrate the applications of the proposed methods to the max-min fairness formulation and the achievable rate region characterization problem—which was not considered owing to the limit of space. This technical report serves to provide further simulation results for the paper “Outage constrained robust transmit optimization for multiuser MISO downlinks: Tractable approximations by conic optimization”. In addition to the rate constrained formulation, which is the main focus of the aforementioned main manuscript, we also demonstrate how the proposed methods can be used to tackle the max-min fairness formulation and the achievable rate region characterization problem.