TY - JOUR

T1 - Nearest Neighbor and Contact Distance Distribution for Binomial Point Process on Spherical Surfaces

AU - Talgat, Anna

AU - Kishk, Mustafa Abdelsalam

AU - Alouini, Mohamed-Slim

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2020

Y1 - 2020

N2 - 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 Sk has a radius rk and Nk 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 re

AB - 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 Sk has a radius rk and Nk 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 re

UR - http://hdl.handle.net/10754/663622

UR - https://ieeexplore.ieee.org/document/9177073/

U2 - 10.1109/LCOMM.2020.3019436

DO - 10.1109/LCOMM.2020.3019436

M3 - Article

SP - 1

EP - 1

JO - IEEE Communications Letters

JF - IEEE Communications Letters

SN - 2373-7891

ER -