On the performance analysis of finite wireless network

Random wireless networks with finite number of nodes distributed uniformly in a circular-shaped finite region are considered. A closed-form expression for the complimentary cumulative distribution function (CCDF) of Euclidean distance between a randomly selected node and its ith nearest node is derived. In contrast to most of the existing literature, the node observed is not necessarily required to be located at the centre of the network region nor located at fixed point. Moreover, the joint distribution of the distances between the ith and jth nearest nodes is derived. Finally, a tractable and quite tight lower bound on outage performance of the uniform network based on the dominant interferer node is derived. Using our derived lower bound, we can determine the maximum number of nodes that should be deployed to satisfy the required QoS. Computer simulation illustrates the validity of the theoretical analysis.