# Achieving Large Sum Rate and Good Fairness in MISO Broadcast Communication

## TL;DR

This paper introduces a novel tri-stage design and a new fairness measure for MISO broadcast communication, balancing sum rate and fairness more effectively than existing methods, especially at high SNR regimes.

## Contribution

It proposes a new tri-stage design with statistical power allocation and an L1-based fairness measure, improving sum rate and fairness tradeoffs over traditional approaches.

## Key findings

- Achieves larger sum rate and better fairness than proportional fairness.
- Introduces a robust L1-based fairness measure for high SNR regimes.
- Provides an upper bound demonstrating potential for further improvements.

## Abstract

A tradeoff between sum rate and fairness for MISO broadcast communication employing dirty paper coding or zero-forcing dirty paper coding at physical layer is investigated in this paper. The tradeoff is based on a new design objective termed "tri-stage" approach as well as a new L1-based fairness measure that is much more robust than the well-known Jain's index for comparing fairness levels achieved by various design objectives at a much finer resolution in high SNR regime. The newly proposed tri-stage design also introduces a new concept of statistical power allocation that randomly allocates powers to users based on an optimal probability distribution derived from the tradeoff between sum rate and fairness. Simulation results show that the proposed approach can simultaneously achieve a larger sum rate and better fairness than the reputable proportional fairness criterion. A performance upper bound is also given in the paper to show that the excellent performance of the proposed approach at moderate and high SNR regimes as well as some potential for further improvement in low SNR regime.