Normalized Nash Equilibrium for Power Allocation in Femto Base Stations in Heterogeneous NetworkReportar como inadecuado

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1 UPENN - University of Pennsylvania 2 Eurecom Sophia Antipolis 3 MAESTRO - Models for the performance analysis and the control of networks CRISAM - Inria Sophia Antipolis - Méditerranée

Abstract : We consider heterogeneous networks with multiple femtocells and macrocells.Femto-base stations femto-BS are constrained to allocate transmittingpowers such that the total interference at each macro-user terminalmacro-UT is below a given threshold. We formulate a power allocationproblem as a concave game with femto-BSs as players and multiple macro-UTsenforcing coupled constraints. Equilibrium selection is based on theconcept of normalized Nash equilibrium NNE . When the interference at afemto-user terminal femto-UT from adjacent femto-BSs is negligible, forany strictly concave nondecreasing utility the NNE is unique and the NNE isthe solution of a concave potential game. We also propose a distributedalgorithm which converges to the unique NNE. When the interference is notnegligible, an NNE may not be unique and the computation of NNE hasexponential complexity . We introduce the concept of weakly normalized Nashequilibrium WNNE which keeps the most of NNEs- interesting propertiesbut, in contrast to the latter, the WNNE can be determined with lowcomplexity. We show the usefulness of the WNNE concept for the relevantcase of Shannon capacity as femto-BS-s utility.

Autor: Arnob Ghosh - Laura Cottatellucci - Eitan Altman -



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