Peer-Reviewed Journal Details
Mandatory Fields
Talgat A.;Kishk M.A.;Alouini M.S.
2020
December
IEEE Communications Letters
Nearest neighbor and contact distance distribution for binomial point process on spherical surfaces
Published
5 ()
Optional Fields
binomial point process distance distribution Stochastic geometry
24
12
2659
2663
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}\forall 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.
1089-7798
10.1109/LCOMM.2020.3019436
Grant Details