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In this paper, we analyze the sum rate performance of multi-usermultiple-input multiple-output (MU-MIMO) systems, with a finite constellationphase-shift keying (PSK) input alphabet. We analytically calculate and comparethe achievable sum rate in three downlink transmission scenarios: 1) withoutprecoding, 2) with zero forcing (ZF) precoding 3) with closed form constructiveinterference (CI) precoding technique. In light of this, new analyticalexpressions for the average sum rate are derived in the three cases, and MonteCarlo simulations are provided throughout to validate the analysis.Furthermore, based on the derived expressions, a power allocation scheme thatcan ensure fairness among the users is also proposed. The results in this workdemonstrate that, the CI strictly outperforms the other two schemes, and theperformance gap between the considered schemes increases with increase in theMIMO size. In addition, the CI provides higher fairness and the powerallocation algorithm proposed in this paper can achieve maximum fairness index.

Sum Rate and Fairness Analysis for the MU-MIMO Downlink under PSK Signalling: Interference Suppression vs Exploitation