A mathematical framework for system-level analysis and optimization of uplink cellular networks that use optimum combining at the Base Stations (BSs) is introduced. Fractional power control is explicitly taken into account. The locations of the BSs are modeled as points of a homogeneous Poisson point process. With the aid of stochastic geometry, coverage and rate are formulated in integral but mathematically tractable expressions. Based on them, performance trends for small-and large-scale multi-antenna BSs are discussed. Coverage and rate are shown to be highly dependent on several parameters, including the path-loss exponent, the fractional power control compensation factor and the maximum transmit power of the mobile terminals. Based on the proposed frameworks, a heuristic algorithm for system-level optimization is proposed and its effectiveness is demonstrated with the aid of Monte Carlo simulations.
['Peng Guan', 'Marco Di Renzo']
Stochastic geometry analysis and optimization of uplink cellular networks with fractional power control and optimum combining