Talgat, Anna and Kishk, Mustafa A. and Alouini, Mohamed-Slim (2020) Nearest Neighbor and Contact Distance Distribution for Binomial Point Process on Spherical Surfaces. IEEE Communications Letters, 24 (12). pp. 2659-2663. ISSN 1089-7798

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Abstract

This letter characterizes the statistics of the contact distance and the nearest neighbor (NN) distance for binomial point processes (BPP) spatially-distributed on spherical surfaces. We consider a setup of n concentric spheres, with each sphere S k has a radius r k and N k points that are uniformly distributed on its surface. For that setup, we obtain the cumulative distribution function (CDF) of the distance to the nearest point from two types of observation points: (i) the observation point is not a part of the point process and located on a concentric sphere with a radius r e <; r k ∀k, which corresponds to the contact distance distribution, and (ii) the observation point belongs to the point process, which corresponds to the nearest-neighbor (NN) distance distribution.

Item Type:	Article
Keywords:	Stochastic geometry; binomial point process; distance distribution;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	16979
Identification Number:	https://doi.org/10.1109/LCOMM.2020.3019436
Depositing User:	Mustafa Kishk
Date Deposited:	28 Feb 2023 16:41
Journal or Publication Title:	IEEE Communications Letters
Publisher:	Institute of Electrical and Electronics Engineers
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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