Accurate Statistical Analysis of a Single Interference in Random Networks with Uniformly Distributed Nodes

Wireless networks with a finite number of nodes uniformly distributed in a finite region are considered. A closed-form expression for the distribution of the power of a single interferer incident on a receiving node in the network is derived. The node is assumed to be placed at an arbitrary location in the network in contrast to most of the existing literature in which this node is located at the center of the region. The analysis is conducted for two packet traffic patterns, namely, slotted-synchronous and slotted-asynchronous patterns. It is observed that the distribution is independent of the location of the receiving node. Tight upper and lower bounds for the distribution of the interference power are derived.