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Tight Lower Bounds on the Contact Distance Distribution in Poisson Hole Process | IEEE Journals & Magazine | IEEE Xplore

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


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) refer...Show More

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.
Published in: IEEE Wireless Communications Letters ( Volume: 6, Issue: 4, August 2017)
Page(s): 454 - 457
Date of Publication: 09 May 2017

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