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.
A. Zanella, M. Stramazzotti, F. Fabbri, E. Salbaroli, D. Dardari, R. Verdone (2009). Comments on Probability Distributions for the Number of Radio Transceivers which can Communicate with One Another. IEEE TRANSACTIONS ON COMMUNICATIONS, 57, 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.
