Probability of outage in a clustered poisson field of interfering nodes

In this paper, the interference statistics and the probability of outage in a clustered Poisson field of interfering nodes are analyzed. In this architecture, a large number of users communicate directly with each other through their closest cluster heads. It is assumed that the location of the users and the cluster heads are two independent two-dimensional homogeneous Poisson point processes over an unbounded plain. A common bandwidth is shared among all users and the transmitted signals undergo path loss and Log-normal shadowing. A perfect power control is assumed in a user to cluster head transmission. We analyze the performance of this wireless network by calculating the probability of outage over a cluster head. To this end, we derive analytical formulas for the mean and the variance of the total amount of interference. Further, we show that the total interference received by the cluster head precisely follows Log-normal distribution. The accuracy of Log-normal assumption as well as the obtained analytical results are verified by simulations.