Correlated lognormal interferers and outage probabilities

Three approaches that can be used to compute the distribution of a sum of correlated lognormal RVs (random variables) are investigated. Specifically, Wilkinson´s approach, an extension of Schwartz and Yeh´s approach, and a cumulants matching approach are investigated, and their accuracies are compared. These techniques are then used to compute the outage probability of a desired lognormal shadowed signal in the presence of multiple lognormal cochannel interferers. The outage results are presented as a function of the reuse factor. Simulation results for CDFs (complementary distribution functions) of sums of lognormal RVs and four outage probabilities are used for verification and comparison. Overall, the results show that Wilkinson´s method may be the best method for computing the CDF of sums of correlated lognormal RVs (and hence the outage probability in correlated lognormal shadowed mobile radio environments)