Robust Tomlinsion-Harashima precoding design with outdated CSIT

The channel state information at transmitter (CSIT) acquisition plays a key role in the multi-input multi-output (MIMO) system, especially for the precoding schemes. However it is unrealizable to acquire perfect CSIT in practice. In this article, an effective and practical dynamic CSIT model is introduced to acquire imperfect channel state information. For practicability, the channel temporal and spatial correlations are considered and the channel estimate and its error covariance are obtained by utilizing the outdated channel state information. Based on the dynamic CSIT mode, closed-form solution of robust Tomlinsion-Harashima precoding (THP) is derived by a Lagrangian approach. Numerical simulations are presented to demonstrate the performance.