Distance distribution of bivariate poisson network nodes

Authors:
Alireza Babaei;Bijan Jabbari
Affiliations:
Department of Electrical and Computer Engineering, Auburn University, Auburn, AL;Department of Electrical and Computer Engineering, George Mason University, Fairfax, VA
Venue:
IEEE Communications Letters
Year:
2010

Citing 3
Cited 0

Distance browsing in spatial databases

ACM Transactions on Database Systems (TODS)
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
On distances in uniformly random networks

IEEE Transactions on Information Theory

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, we obtain the distribution of the distances between an arbitrary point and its dissimilar neighboring points in a spatial bivariate Poisson point process. We derive closed-form solutions for the real moments of the internodal distances for two special cases in which there is either strong or weak correlation between the number of points in a region. This point process can be used to model heterogeneous random networks. In particular, we discuss some applications of the obtained results in cognitive wireless networks.