Convex optimization of error probability of multi-antenna broadcast channel

In this paper, we propose a nonlinear convex optimization problem to minimize the average probability of error of all the users, subject to the peak or the average power constraints in the multi-input–multi-output broadcast channel. The proposed transmitter represents a nonlinear one-to-one mapping between the transmitted data vector and the symbol vector. The transmitted data vector going through the base station antennas is obtained as a …