Comment on Probability Distributions for the Number of Radio Transceivers which can Communicate with One Another,

We discuss the correctness of one of the main results of [1] about the probability density function of the distance between two audible nodes in an infinite 2-dimensional scenario. We prove that result [1, eq. (7)] 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 of [1], and in particular the fact that the number of audible nodes in an arbitrary area is a Poisson r.v. is correct.