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This paper proposes an asymptotically optimal hybrid beamforming solution forlarge antenna arrays by exploiting the properties of the singular vectors ofthe channel matrix. It is shown that the elements of the channel matrix withRayleigh fading follow a normal distribution when large antenna arrays areemployed. The proposed beamforming algorithm is effective in both sparse andrich propagation environments, and is applicable for both point-to-point andmultiuser scenarios. In addition, a closed-form expression and a lower-boundfor the achievable rates are derived when analog and digital phase shifters areemployed. It is shown that the performance of the hybrid beamformers usingphase shifters with more than 2-bits resolution is comparable with analog phaseshifting. A novel phase shifter selection scheme that reduces the powerconsumption at the phase shifter network is proposed when the wireless channelis modeled by Rayleigh fading. Using this selection scheme, the spectralefficiency can be increased as the power consumption in the phase shifternetwork reduces. Compared to the scenario that all of the phase shifters are inoperation, the simulation results indicate that the spectral efficiencyincreases when up to 50% of phase shifters are turned off.

Hybrid Beamforming for Large Antenna Arrays with Phase Shifter Selection