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On the Use of Integral Geometry for Interference Modeling and Analysis in Wireless Networks

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On the Use of Integral Geometry for Interference Modeling and Analysis in Wireless Networks. / Petrov, Vitaly; Moltchanov, Dmitri; Kustarev, Pavel; Jornet, Josep Miquel; Koucheryavy, Yevgeni.

In: IEEE Communications Letters, Vol. 20, No. 12, 16.09.2016, p. 2530-2533.

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Petrov, Vitaly ; Moltchanov, Dmitri ; Kustarev, Pavel ; Jornet, Josep Miquel ; Koucheryavy, Yevgeni. / On the Use of Integral Geometry for Interference Modeling and Analysis in Wireless Networks. In: IEEE Communications Letters. 2016 ; Vol. 20, No. 12. pp. 2530-2533.

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@article{6d9a06282d7640c094beea6c76fbff5a,
title = "On the Use of Integral Geometry for Interference Modeling and Analysis in Wireless Networks",
abstract = "Stochastic geometry has recently gained popularity for performance assessment of wireless networks. The application of this approach is conditioned on the availability of closedform expressions for probability distributions of the distance between the receiver and interfering nodes. These expressions are available for the simple point processes, e.g., the Poisson point process, and area geometries only. The motivation of this letter is to draw the attention of the wireless research community to a new methodology for estimating interference in spatially random networks. We show that using the integral geometry and working with interference sets rather than interference distances one can approximate the interference for any convex deployment areas and general distribution of interfering nodes.",
keywords = "Density measurement, Geometry, Interference, Kinematics, Stochastic processes, Transforms, Wireless networks, arbitrary deployments, general node distribution, integral geometry, interference, mobile wireless networks",
author = "Vitaly Petrov and Dmitri Moltchanov and Pavel Kustarev and Jornet, {Josep Miquel} and Yevgeni Koucheryavy",
year = "2016",
month = "9",
day = "16",
doi = "10.1109/LCOMM.2016.2610435",
language = "English",
volume = "20",
pages = "2530--2533",
journal = "IEEE Communications Letters",
issn = "1089-7798",
publisher = "Institute of Electrical and Electronics Engineers",
number = "12",

}

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TY - JOUR

T1 - On the Use of Integral Geometry for Interference Modeling and Analysis in Wireless Networks

AU - Petrov, Vitaly

AU - Moltchanov, Dmitri

AU - Kustarev, Pavel

AU - Jornet, Josep Miquel

AU - Koucheryavy, Yevgeni

PY - 2016/9/16

Y1 - 2016/9/16

N2 - Stochastic geometry has recently gained popularity for performance assessment of wireless networks. The application of this approach is conditioned on the availability of closedform expressions for probability distributions of the distance between the receiver and interfering nodes. These expressions are available for the simple point processes, e.g., the Poisson point process, and area geometries only. The motivation of this letter is to draw the attention of the wireless research community to a new methodology for estimating interference in spatially random networks. We show that using the integral geometry and working with interference sets rather than interference distances one can approximate the interference for any convex deployment areas and general distribution of interfering nodes.

AB - Stochastic geometry has recently gained popularity for performance assessment of wireless networks. The application of this approach is conditioned on the availability of closedform expressions for probability distributions of the distance between the receiver and interfering nodes. These expressions are available for the simple point processes, e.g., the Poisson point process, and area geometries only. The motivation of this letter is to draw the attention of the wireless research community to a new methodology for estimating interference in spatially random networks. We show that using the integral geometry and working with interference sets rather than interference distances one can approximate the interference for any convex deployment areas and general distribution of interfering nodes.

KW - Density measurement

KW - Geometry

KW - Interference

KW - Kinematics

KW - Stochastic processes

KW - Transforms

KW - Wireless networks

KW - arbitrary deployments

KW - general node distribution

KW - integral geometry

KW - interference

KW - mobile wireless networks

U2 - 10.1109/LCOMM.2016.2610435

DO - 10.1109/LCOMM.2016.2610435

M3 - Article

VL - 20

SP - 2530

EP - 2533

JO - IEEE Communications Letters

JF - IEEE Communications Letters

SN - 1089-7798

IS - 12

ER -