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.
Comments on Probability Distributions for the Number of Radio Transceivers which can Communicate with One Another / A. Zanella; M. Stramazzotti; F. Fabbri; E. Salbaroli; D. Dardari; R. Verdone. - In: IEEE TRANSACTIONS ON COMMUNICATIONS. - ISSN 0090-6778. - STAMPA. - 57:(2009), pp. 1287-1289. [10.1109/TCOMM.2009.05.070066]
Comments on Probability Distributions for the Number of Radio Transceivers which can Communicate with One Another
DARDARI, DAVIDE;VERDONE, ROBERTO
2009
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
