Practical Hybrid Beamforming for Millimeter Wave Massive MIMO Full Duplex with Limited Dynamic Range

In this paper, we present a novel and practical joint hybrid beamforming (HYBF) and combining scheme to maximize the weighted sum-rate (WSR) in a single-cell massive multiple-input-multiple-output (MIMO) millimeter-wave (mmWave) FD system. All the multi-antenna users and the base station (BS) are assumed to be suffering from the limited dynamic range (LDR) noise due to non-ideal hardware, and we adopt an impairment-aware HYBF approach. To model the non-ideal hardware of a hybrid FD transceiver, we extend the traditional LDR noise model to mmWave. We also present a novel interference and self-interference (SI) aware optimal power allocation scheme for the uplink (UL) users and the BS. The analog processing stage is assumed to be quantized, and we consider both the unit-modulus and unconstrained cases. Compared to the traditional designs, our design also considers the joint sum-power and the practical per-antenna power constraints. It relies on alternating optimization based on the minorization-maximization method. We investigate the maximum achievable gain of a hybrid multi-user FD system with different levels of the LDR noise variance and with different numbers of the radio-frequency (RF) chains. We also show that amplitude manipulation at the analog stage is beneficial for a hybrid FD BS when the number of RF chains is small. Simulation results show that the proposed HYBF design significantly outperforms the fully digital HD system with only a few RF chains at any LDR noise level.