Min-max power allocation in cellular networks with coordinated beamforming

Randa Zakhour, Stephen V. Hanly

Research output: Contribution to journalArticleResearchpeer-review

Abstract

This paper considers base station (BS) cooperation in the form of coordinated beamforming, focusing on min-max fairness in the power usage subject to target SINR constraints at each single-antenna user. We show that the optimal beamforming strategies have an interesting nested zero-forcing structure. In the asymptotic regime where the number of antennas at each BS and that of users in each cell both grow large with their ratio tending to a finite constant, the dimensionality of the optimization problem that needs to be solved is greatly reduced, and only knowledge of statistics is required to solve it. The optimal solution is characterized in general, and an algorithm is proposed that converges to the optimal transmit parameters, for feasible SINR targets. For the two cell case, a simple single parameter characterization is obtained. These asymptotic results provide insights into the average performance, as well as simple but efficient beamforming strategies for the finite system case. In particular, the asymptotically optimal beamformers only require the BSs to have local instantaneous channel state information; the remaining parameters of the beamformers can be calculated using channel statistics, thereby reducing the channel state information estimation and signaling overhead.

LanguageEnglish
Article number6415399
Pages287-302
Number of pages16
JournalIEEE Journal on Selected Areas in Communications
Volume31
Issue number2
DOIs
Publication statusPublished - 2013

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Beamforming
Channel state information
Base stations
Statistics
Antennas

Cite this

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title = "Min-max power allocation in cellular networks with coordinated beamforming",
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Min-max power allocation in cellular networks with coordinated beamforming. / Zakhour, Randa; Hanly, Stephen V.

In: IEEE Journal on Selected Areas in Communications, Vol. 31, No. 2, 6415399, 2013, p. 287-302.

Research output: Contribution to journalArticleResearchpeer-review

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