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

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 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

Citation
Talgat, A., Kishk, M. A., & Alouini, M.-S. (2020). Nearest Neighbor and Contact Distance Distribution for Binomial Point Process on Spherical Surfaces. IEEE Communications Letters, 1–1. doi:10.1109/lcomm.2020.3019436

Publisher
Institute of Electrical and Electronics Engineers (IEEE)

Journal
IEEE Communications Letters

DOI
10.1109/LCOMM.2020.3019436

arXiv
2005.07330

Additional Links
https://ieeexplore.ieee.org/document/9177073/https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9177073

Permanent link to this record