Comments on "Probability Distributions for the Number of Radio Transceivers which can Communicate with One Another"

Author

Zanella, Alberto ; Stramazzotti, Mauro ; Fabbri, Flavio ; Salbaroli, Enrica ; Dardari, Davide ; Verdone, Roberto

Author_Institution

WILAB, Univ. of Bologna, Bologna

Volume

57

Issue

5

fYear

2009

fDate

5/1/2009 12:00:00 AM

Firstpage

1287

Lastpage

1289

Abstract

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.

Keywords

probability; stochastic processes; transceivers; Poisson point process; probability density function; radio transceivers; Communications Society; Genetic expression; Probability density function; Probability distribution; Propagation constant; Propagation losses; Radio transceivers; Random variables; Shadow mapping; System performance; Poisson point process, connectivity analysis;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOMM.2009.05.070066

Filename

4939222