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
SN - 2373-7891
SP - 1
EP - 1
JO - IEEE Communications Letters
JF - IEEE Communications Letters
ER -