Nearest neighbor distance distribution in hard-core point processes

Hourani, A, Evans, R and Sithamparanathan, K 2016, 'Nearest neighbor distance distribution in hard-core point processes', IEEE Communications Letters, vol. 20, no. 9, 7511676, pp. 1872-1875.


Document type: Journal Article
Collection: Journal Articles

Title Nearest neighbor distance distribution in hard-core point processes
Author(s) Hourani, A
Evans, R
Sithamparanathan, K
Year 2016
Journal name IEEE Communications Letters
Volume number 20
Issue number 9
Article Number 7511676
Start page 1872
End page 1875
Total pages 4
Publisher Institute of Electrical and Electronics Engineers
Abstract In this letter, we present an analytic framework for formulating the statistical distribution of the nearest neighbor distance in hard-core point processes. We apply this framework to Matern hard-core point process (MHC) to derive the cumulative distribution function of the contact distance in three cases. The first case is between a point in an MHC process and its nearest neighbor from the same process. The second case is between a point in an independent Poisson point process and the nearest neighbor from an MHC process. The third case is between a point in the complement of an MHC process and its sibling MHC process. We test the analytic results against Monte Carlo simulations to verify their consistency.
Subject Wireless Communications
Applied Mathematics not elsewhere classified
Signal Processing
Electrical and Electronic Engineering not elsewhere classified
Keyword(s) contact distance
Matérn hard-core point process
nearest neighbour
stochastic geometry
DOI - identifier 10.1109/LCOMM.2016.2591017
Copyright notice © 2016 IEEE. Personal use is permitted, but republication / redistribution requires IEEE permission.
ISSN 1558-2558
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