MIMO TRANSMIT BEAMFORMING UNDER UNIFORM ELEMENTAL PEAK POWER CONSTANT

摘要

Embodiments of the invention pertain to a MIMO transmit beamforming method that is under the uniform elemental peak power constraint. Embodiments of the MIMO transmit beamforming method can be implemented without requiring unbalanced transmit power allocations among the various transmit antennas. Traditionally, MIMO transmit beamformer design under the uniform elemental power constraint is a non-convex optimization problem. Embodiments of the invention can relax this problem to a convex optimization problem via Semi-Definite Relaxation (SDR). For the multi-input single-output (MISO) case, the globally optimal solution to the relaxed problem has a closed-form and is also optimal to the original problem. With minor modifications, the closed-form MISO solution can be extended to that for the MIMO case, and a suboptimal closed-form solution to the MIMO transmit beamformer design can be obtained.