Optimal frequency-reuse partitioning for ubiquitous coverage in cellular systems

Frequency-reuse partitioning corresponds to allocating frequencies in a cellular system using multiple frequency-reuse factors simultaneously in each cell. Compared to single reuse-factor schemes, reuse partitioning allows an improved performance in terms of system capacity, outage probability or QoS fairness. In this paper we derive the optimal frequency-reuse partitioning that maximizes the capacity on the downlink of a cellular system. The main issue is to ensure a ubiquitous service in terms of user data rate assuming a total power constraint and a uniform user distribution.