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On the Existence and Efficient Computation of Feasible Power Control for CDMA Cellular Radio

Power control is an essential feature of code division multiple access (CDMA) systems to guaranty quality of transmission and maximize network capacity. In this paper, we introduce a fast method for computing the minimal power assignment even for huge numbers of mobiles. Its complexity mainly depends on the number of base stations in the network. This type of centralized algorithm is particularly important for 3G network design and optimization tools. We furthermore obtain necessary and sufficient conditions for the existence of a feasible power allocation. Finally, easy sufficient conditions for the existence of a feasible power assignment are derived. We conclude by evaluating these conditions for merely distance dependent path losses and hexagonal cells, which gives insight into the dependence between network geometry and power control.