Downlink Power Control in Self-Organizing Dense Small Cells Underlaying Macrocells: A Mean Field GameReportar como inadecuado

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1 Department of Electrical & Computer Engineering Manitoba

Abstract : A novel distributed power control paradigm is proposed for dense small cell networks co-existing with a traditional macrocellular network. The power control problem is first modeled as a stochastic game and the existence of the Nash Equilibrium is proven. Then we extend the formulated stochastic game to a mean field game MFG considering a highly dense network. An MFG is a special type of differential game which is ideal for modeling the interactions among a large number of entities. We analyze the performance of two different cost functions for the mean field game formulation. Both of these cost functions are designed using stochastic geometry analysis in such a way that the cost functions are valid for the MFG setting. A finite difference algorithm is then developed based on the LaxFriedrichs scheme and Lagrange relaxation to solve the corresponding MFG. Each small cell base station can independently execute the proposed algorithm offline, i.e., prior to data transmission. The output of the algorithm shows how each small cell base station should adjust its transmit power in order to minimize the cost over a predefined period of time. Moreover, sufficient conditions for the uniqueness of the mean field equilibrium for a generic cost function are also given. The effectiveness of the proposed algorithm is demonstrated via numerical results.

Keywords : Lagrange relaxation small cells 5G cellular self-organizing networks differential game mean field game MFG distributed power control LaxFriedrichs scheme finite difference method stochastic geometry

Autor: Prabodini Semasinghe - Ekram Hossain -



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