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Stochastic geometry based analysis of autonomous uplink inter-cell interference coordination in OFDMA/LTE wireless systems

Stochastic geometry has recently become a very attractive tool to model wireless systems because it provides a clear insight in the statistical performance of systems. In this paper, we present a stochastic analysis of the autonomous uplink power allocation scheme we proposed in [1]. This scheme hinges on defining interference limits to the amount of interference produced by each cell. Since the probability of coverage is a major metric to evaluate the performance of wireless systems, we develop herein a theoretical formula for the probability of coverage in an OFDMA wireless system using that proposed uplink power allocation. The provided theoretical formula is shown to be a good approximation to the actual probability of coverage at low interference limits, while at high interference limits it serves as a lower bound to the probability of coverage. The developed formula helps predicting the performance of the system at different interference limits.