System Level Transmit Power Analysis in Cellular Systems

Analytical expressions that allow one to analyze the total transmitted power in various cellular systems are important design tools in network optimization. This paper develops a new method of finding the total transmitted power by mobile stations (MSs) in systems with different power profiles and very general propagation conditions. Specifically, a closed-form expression is derived, based on the assumption that MSs are distributed within the cell according to a two-dimensional (2-D) Poisson point process and the observation that user distances to the base station (BS) form a gamma distribution. By using this model, the total power is derived by finding the fractional moment of the gamma distribution. A simulation model developed verifies the correctness of the theoretical derivations, with the users distributed randomly in a plane. Various propagation constants are considered. Close agreement is found between the calculated and simulated transmitted powers.