Robust Transceiver Design in Multiuser MIMO System with Energy Harvesting Constraints

In this paper, considering the simultaneous wireless information and power transfer scheme, we investigate the robust transceiver design in the multiuser multiple-input–multiple-output system with the energy harvesting constraints where the channel uncertainties are modeled by the worst-case model. We formulate the robust transceiver design problem as a worst-case mean-square-error (MSE) minimization problem where the transmit covariance matrix at the transmitter and the preprocessing matrices at the information-decoding (ID) receivers are alternatively optimized. With the known preprocessing matrices at the ID receivers, the transmit covariance matrix optimization problem is transformed into a semidefinite programming (SDP) by employing the \({\mathcal {S}}\)-procedure. With the known transmit covariance matrix at the transmitter, the optimization problem is transformed into another SDP by converting the MSE minimization constraint into a linear matrix inequality. Simulation results have shown that our proposed robust transceiver design outperforms the non-robust one.