Optimization of Error Probability of Multi-Antenna Broadcast Channel using Convex Optimization

We consider the problem of multi-antenna broadcast transmitter design which minimizes the probability of bit error subject to, alternatively, peak or average power constraints. The proposed transmitter represents a nonlinear one-to-one mapping of the broadcast data and is obtained as a solution to a convex error probability optimization problem that can be obtained using computationally efficient interior point algorithms. It is proved that the …