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

    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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    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:
    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
    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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