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    Tight Lower Bounds on the Contact Distance Distribution in Poisson Hole Process


    Kishk, Mustafa A. and Dhillon, Harpreet S. (2017) Tight Lower Bounds on the Contact Distance Distribution in Poisson Hole Process. IEEE Wireless Communications Letters, 6 (4). pp. 454-457. ISSN 2162-2337

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    Abstract

    In this letter, we derive new lower bounds on the cumulative distribution function (CDF) of the contact distance in the Poisson hole process (PHP) for two cases: 1) reference point is selected uniformly at random from R2 independently of the PHP and 2) reference point is located at the center of a hole selected uniformly at random from the PHP. While one can derive upper bounds on the CDF of contact distance by simply ignoring the effect of holes, deriving lower bounds is known to be relatively more challenging. As a part of our proof, we introduce a tractable way of bounding the effect of all the holes in a PHP, which can be used to study other properties of a PHP as well.

    Item Type: Article
    Keywords: Stochastic geometry; Poisson hole process; contact distance distribution;
    Academic Unit: Faculty of Science and Engineering > Electronic Engineering
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 17006
    Identification Number: https://doi.org/10.1109/LWC.2017.2702706
    Depositing User: Mustafa Kishk
    Date Deposited: 08 Mar 2023 14:43
    Journal or Publication Title: IEEE Wireless Communications Letters
    Publisher: Institute of Electrical and Electronics Engineers
    Refereed: Yes
    URI:
    Use License: 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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