Optimum transmit beamforming design for multiple input single output frequency-selective channels with per-antenna power constraint

In transmit beamforming (BF) systems, one of key issues is how to design an appropriate BF vector to optimize the performance of the whole system. This paper addresses the transmit BF design problem for cyclic prefixed (CP) transmissions over Multiple Input Single Output (MISO) frequency-selective channels under per-antenna power constraints (PPC).In previous studies, several methods have been used to solve this problem, however, all lead to suboptimal solutions. In an attempt to get the optimal solution, we propose an efficient algorithm based on barrier method, which performs closely to the optimal total power constraint (TPC) solution and significantly outperforms the existing PPC solutions. Moreover, the simulation results also show that the proposed algorithm is robust on the different antenna power allocation and antenna number.