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A circular interference model for wireless cellular networks

In this work, we investigate downlink co-channel interference in wireless cellular networks. Our main target is to facilitate statistical analysis in networks with regular grid layout. In particular, we focus on the interference statistics outside the center of a grid scenario. First, a novel circular interference model is introduced. The key idea is to spread the power of the interferers uniformly along the circumcircle of the grid-shaping polygon. We then propose to model the aggregate interference statistics by a single Gamma random variate. The corresponding shape- and scale parameters are determined in closed form by employing this circular model. The analysis yields key insights on the distribution's formative components. We verify the accuracy of the Gamma approximation by qualitative-and quantitative measures. A basic guideline for applying and extending our approach indicates that it considerably improves analytic accessibility of regular grid models.