A New Analytical Model for the Evaluation of Transmitted Power in Downlink of Cellular Networks

This work defines an analytical model that computes an upper bound of the transmitted power of a base station in the downlink. The distribution of terminals is modeled as a Poisson point Process. Based on point process theory and concentration inequalities, an upper bound of the distribution of power consumption of base station is derived. Closed forms are also obtained for the mth moments of the transmitted power. They show that overall power varies linearly with users´ spatial intensity (or load). Comparisons with simulations prove the accuracy and the robustness of the proposed model.