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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: | 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/17006 |
| 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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