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1 University of Pisa Pisa 2 Chaire Radio Flexible - Chaire Radio Flexible Alcatel-Lucent-Supélec 3 KTH - Royal Institute of Technology Stockholm, Sweden 4 UoA - University of Athens

Abstract : We consider the downlink of a single-cell multi-user MIMO system in which the base station makes use of N antennas to communicate with K single-antenna user equipments UEs randomly positioned in the coverage area. In particular, we focus on the problem of designing the optimal linear precoding for minimizing the total power consumption while satisfying a set of target signal-to-interference-plus-noise ratios SINRs. To gain insights into the structure of the optimal solution and reduce the computational complexity for its evaluation, we analyze the asymptotic regime where N and K grow large with a given ratio and make use of recent results from large system analysis to compute the asymptotic solution. Then, we concentrate on the asymptotically design of heuristic linear precoding techniques. Interestingly, it turns out that the regularized zero-forcing RZF precoder is equivalent to the optimal one when the ratio between the SINR requirement and the average channel attenuation is the same for all UEs. If this condition does not hold true but only the same SINR constraint is imposed for all UEs, then the RZF can be modified to still achieve optimality if statistical information of the UE positions is available at the BS. Numerical results are used to evaluate the performance gap in the finite system regime and to make comparisons among the precoding techniques.

Autor: Luca Sanguinetti - Emil Björnson - Mérouane Debbah - Aris Moustakas -

Fuente: https://hal.archives-ouvertes.fr/


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