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A tradeoff between sum rate and fairness for MISO broadcast communicationemploying dirty paper coding or zero-forcing dirty paper coding at physicallayer is investigated in this paper. The tradeoff is based on a new designobjective termed "tri-stage" approach as well as a new L1-based fairnessmeasure that is much more robust than the well-known Jain's index for comparingfairness levels achieved by various design objectives at a much finerresolution in high SNR regime. The newly proposed tri-stage design alsointroduces a new concept of statistical power allocation that randomlyallocates powers to users based on an optimal probability distribution derivedfrom the tradeoff between sum rate and fairness. Simulation results show thatthe proposed approach can simultaneously achieve a larger sum rate and betterfairness than the reputable proportional fairness criterion. A performanceupper bound is also given in the paper to show that the excellent performanceof the proposed approach at moderate and high SNR regimes as well as somepotential for further improvement in low SNR regime.

Achieving Large Sum Rate and Good Fairness in MISO Broadcast Communication