precoding for mutual information maximization in MIMO systems

Abstract—We study the design of linear precoders for max-imization of the mutual information in MIMO systems with arbitrary constellations and with perfect channel state informa-tion at the transmitter. We derive the structure of the optimum precoder and we show that the mutual information is concave in a quadratic function of the precoder coefficients. An iterative algorithm is also proposed to find this optimum value. I