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

Marco Di Renzo (1) , Alessio Zappone (1) , Thanh Tu Lam (1) , Merouane Debbah (2)

1 L2S - Laboratoire des signaux et systèmes
2 Mathematical and Algorithmic Sciences Lab [Paris]

We compute the spectral efficiency vs. 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 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 trade-off curve and that it can be formulated in analytical terms. We identify new functional relations between the Pareto-optimal transmit power and density of the base stations.

Mots clés: Cellular network; Pareto front; point process

Domaines: Informatique [cs]; Théorie de l'information [cs.IT]

Marco Di Renzo, Alessio Zappone, Thanh Tu Lam, Merouane Debbah. Spectral-Energy Efficiency Pareto Front in Cellular Networks: A Stochastic Geometry Framework. IEEE Wireless Communications Letters, 2019, 8 (2), pp.424-427. ⟨10.1109/LWC.2018.2874642⟩. ⟨hal-02395683⟩