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High-resolution fully digital transceivers are infeasible at millimeter-wave(mmWave) due to their increased power consumption, cost, and hardwarecomplexity. The use of low-resolution converters is one possible solution torealize fully digital architectures at mmWave. In this paper, we consider asetting in which a fully digital base station with constant envelope quantized(CEQ) digital-to-analog converters on each radio frequency chain communicateswith multiple single antenna users with individualsignal-to-quantization-plus-interference-plus-noise ratio (SQINR) constraintsover frequency selective channels. We first establish uplink downlink dualityfor the system with CEQ hardware constraints and OFDM-based transmissionconsidered in this paper. Based on the uplink downlink duality principle, wepresent a solution to the multi-user multi-carrier beamforming and powerallocation problem that maximizes the minimum SQINR over all users andsub-carriers. We then present a per sub-carrier version of the originallyproposed solution that decouples all sub-carriers of the OFDM waveformresulting in smaller sub-problems that can be solved in a parallel manner. Ournumerical results based on 3GPP channel models generated from Quadrigademonstrate improvements in terms of ergodic sum rate and ergodic minimum rateover state-of-the-art linear solutions. We also show improved performance overnon-linear solutions in terms of the coded bit error rate with the increasedflexibility of assigning individual user SQINRs built into the proposedframework.

Multi-user Downlink Beamforming using Uplink Downlink Duality with CEQs for Frequency Selective Channels