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Min-max fair coordinated beamforming in cellular systems via large\n systems analysis

2012/02/02 by Randa Zakhour, Zakhour, Randa, Stephen V. Hanly +1
Computer Science · Engineering · #Advanced MIMO Systems Optimization #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Networks Research

paper · pdf · doi:10.48550/arxiv.1202.0589

openalex publication_date 2012/02/02 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

This paper considers base station (BS) cooperation in the form of coordinated\nbeamforming, focusing on min-max fairness in the power usage subject to target\nSINR constraints. We show that the optimal beamforming strategies have an\ninteresting nested zero-forcing structure. In the asymptotic regime where the\nnumber of antennas at each BS and the number of users in each cell both grow\nlarge with their ratio tending to a finite constant, the dimensionality of the\noptimization is greatly reduced, and only knowledge of statistics is required\nto solve it. The optimal solution is characterized in general, and an algorithm\nis proposed that converges to the optimal transmit parameters, for feasible\nSINR targets. For the two cell case, a simple single parameter characterization\nis obtained. These asymptotic results provide insights into the average\nperformance, as well as simple but efficient beamforming strategies for the\nfinite system case. In particular, the optimal beamforming strategy from the\nlarge systems analysis only requires the base stations to have local\ninstantaneous channel state information; the remaining parameters of the\nbeamformer can be calculated using channel statistics which can easily be\nshared amongst the base stations.\n

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