Peer-Reviewed Journal Details
Mandatory Fields
Kishk M.A.;Dhillon H.S.
2017
August
IEEE Wireless Communications Letters
Tight Lower Bounds on the Contact Distance Distribution in Poisson Hole Process
Published
()
Optional Fields
contact distance distribution Poisson hole process Stochastic geometry
6
4
454
457
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.
2162-2337
10.1109/LWC.2017.2702706
Grant Details