Estimation of Precoding for Multi-beam Satellite System using Kalman Filter

In multi-beam satellite system, the precoding method is designed to mitigate the interference between multiple beams with full-band multiplexing. In this paper, an estimation of the precoding matrix based on Kalman filter is proposed. The state transition equation is formed based on the channel model and the optimization is built to minimize the error model. Then the Kalman prediction and update equations are formulated. Through several iteration, the optimal precoding matrix is obtained. The performance of the proposed schemes through simulations is demonstrated.