Second order statistics of the SIR for cellular mobile networks in the presence of correlated co-channel interferers

In this paper second order statistics of the SIR (signal-to-interference ratio) are derived in the presence of cross correlated shadowing components. An analytical approach is proposed that extends to second order statistics the Wilkinson's approximation method for the power sum of log-normal components. The method is used to evaluate the outage occurrence rate for various propagation scenarios, characterized by different shadowing correlation decay distances and cross-correlations among shadowing components. Simulation results are then used to validate the analysis.