Spectral-Energy Efficiency Pareto Front in Cellular Networks: A Stochastic Geometry Framework

摘要

We compute the spectral-energy efficiency Pareto front in Poisson cellular networks, by formulating a spectral-energy efficiency bi-objective optimization problem as a function of either the transmit power or the density of the base stations. Capitalizing on fundamental theoretical results on weighted Tchebycheff optimization problems applied to strictly quasi-concave functions, we derive analytical expressions of the unique Pareto-optimal solution of the bi-objective problem. We prove that the Pareto front is constituted by a subset of the spectral-energy efficiency tradeoff and that it can be formulated in analytical terms. We identify new functional relations between the Pareto-optimal transmit power and the density of base stations.