We discuss the correctness of one of the main results of about the probability density function of the distance between two audible nodes in an infinite 2-dimensional scenario. We prove that result is wrong and derive a more general expression, which is valid for an infinite d-dimensional area. It is worth noting that, although the results on the distribution of the distance between two nodes are wrong, the other results and in particular the fact that the number of audible nodes in an arbitrary area is a Poisson r.v. is correct.

The research for analytical models able to estimate the amount of interference, which is the most important cause of performance degradation in wireless networks, has received a lot of attention in the past years. In this paper we propose an analytical framework for the evaluation of any statistical moment of the interference provided by a Poisson field of nodes located on a given region of limited area. The propagation environment we consider is characterized by a deterministic distance-dependent path-loss and log-normal shadowing. Exact closed form expressions are given for some specific regions.

This paper proposes a connectivity model for nodes which are spatially distributed according to a Poisson Point Process in a bounded (circular) area. The propagation environment is characterized by distance-dependent loss and log-normal shadowing. We consider nodes that communicate with a terminal located in the center of the circular area and derive an expression for the distribution of the power received by this terminal. We also obtain an expression for the moments of the co-channel interference received by the terminal located in the center of the area.

This paper investigates wireless sensor networks where nodes, which are uniformly and randomly distributed in a given area, transmit information to a sink that is equipped with smart antennas. The framework proposed herein, which considers a propagation environment composed by a distance-dependent loss, shadowing and Rayleigh fading permits an analytical evaluation of the achievable rate.

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