A Statistical Model for the Evaluation of the Distribution of the Received Power in Ad Hoc and Wireless Sensor Networks

In this paper we consider a scenario composed by nodes which are uniformly and randomly distributed in a given area and derive the distribution of the power received by a given terminal. The model, which takes a propagation environment characterized by distance-dependent loss and log-normally distributed shadowing into account, can be used to evaluate the distribution of the received power in wireless ad hoc and sensor networks. In particular, the model is suited to investigate the distribution of the received useful and the interference power in a scenario where all the terminals can communicate with each other using the same radio resource