Analytic Modeling of SIR in Cellular Networks with Heterogeneous Traffic

We derive closed-form expressions for reasonably tight lower bounds and upper bounds for the signal-to-interference ratio (SIR), and consequently, the coverage probabilities, in wireless cellular networks with heterogeneous spatial traffic distribution, especially in the cases where the locations of the users and base stations are correlated. The traffic model used in this letter is tractable, adjustable, and more realistic compared with the existing spatial traffic models in the literature. We show that the SIR follows an exponentially modified Gaussian distribution in heterogeneous scenarios