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Mat\'ern hard core processes of types I and II are the point processes of choice to model concurrent transmitters in CSMA networks. We determine the mean interference observed at a node of the process and compare it with the mean…

Information Theory · Computer Science 2011-03-09 Martin Haenggi

Results are presented for optimizing device-to-device communications in cellular networks, while maintaining spectral efficiency of the base-station-to-device downlink channel. We build upon established and tested stochastic geometry models…

Networking and Internet Architecture · Computer Science 2017-05-04 Bartłomiej Błaszczyszyn , Paul Keeler , Paul Mühlethaler

This paper presents a stochastic geometry model for the investigation of fundamental information theoretic limitations in wireless networks. We derive a new unified multi-parameter cut-set bound on the capacity of networks of arbitrary…

Information Theory · Computer Science 2013-05-02 Georgios Rodolakis

An almost ubiquitous assumption made in the stochastic-analytic study of the quality of service in cellular networks is Poisson distribution of base stations. It is usually justified by various irregularities in the real placement of base…

Probability · Mathematics 2013-01-21 Bartlomiej Blaszczyszyn , Mohamed Kadhem Karray , Holger Paul Keeler

This work studies the signal-to-interference-plus-noise-ratio (SINR) meta distribution for the uplink transmission of a Poisson network with Rayleigh fading by using the dominant interferer-based approximation. The proposed approach relies…

Information Theory · Computer Science 2023-09-12 Yujie Qin , Mustafa A. Kishk , Mohamed-Slim Alouini

Over the past decade, many works on the modeling of wireless networks using stochastic geometry have been proposed. Results about probability of coverage, throughput or mean interference, have been provided for a wide variety of networks…

Networking and Internet Architecture · Computer Science 2016-02-08 Alexandre Mouradian

We propose and prove a theorem that allows the calculation of a class of functionals on Poisson point processes that have the form of expected values of sum-products of functions. In proving the theorem, we present a variant of the…

Information Theory · Computer Science 2018-06-05 Udo Schilcher , Stavros Toumpis , Martin Haenggi , Alessandro Crismani , Günther Brandner , Christian Bettstetter

We formulate a model for intermittent communication that can capture bursty transmissions or a sporadically available channel, where in either case the receiver does not know a priori when the transmissions will occur. Focusing on the…

Information Theory · Computer Science 2017-03-20 Mostafa Khoshnevisan , J Nicholas Laneman

The paper establishes the capacity region of the Gaussian interference channel with many transmitter-receiver pairs constrained to use point-to-point codes. The capacity region is shown to be strictly larger in general than the achievable…

Information Theory · Computer Science 2011-02-15 Francois Baccelli , Abbas El Gamal , David Tse

We consider the point process of signal strengths emitted from transmitters in a wireless network and observed at a fixed position. In our model, transmitters are placed deterministically or randomly according to a hard core or Poisson…

Networking and Internet Architecture · Computer Science 2016-10-04 Nathan Ross , Dominic Schuhmacher

Networks play a central role in modern data analysis, enabling us to reason about systems by studying the relationships between their parts. Most often in network analysis, the edges are given. However, in many systems it is difficult or…

Machine Learning · Statistics 2014-02-06 Scott W. Linderman , Ryan P. Adams

Wireless networks are fundamentally limited by the intensity of the received signals and by their inherent interference. It is shown here that in finite ad hoc networks where node placement is modelled according to a Poisson point process…

Networking and Internet Architecture · Computer Science 2015-04-09 Orestis Georgiou , Shanshan Wang , Mohammud Z. Bocus , Carl P. Dettmann , Justin P. Coon

A central problem in the operation of large wireless networks is how to deal with interference -- the unwanted signals being sent by transmitters that a receiver is not interested in. This thesis looks at ways of combating such…

Information Theory · Computer Science 2011-09-07 Matthew Aldridge

A wireless communication network is considered where any two nodes are connected if the signal-to-interference ratio (SIR) between them is greater than a threshold. Assuming that the nodes of the wireless network are distributed as a…

Information Theory · Computer Science 2016-11-17 Rahul Vaze

The existence of unknown interference is a prevalent problem in wireless communication networks. Especially in multi-user multiple-input multiple-output (MIMO) networks, where a large number of user equipments are served on the same…

Signal Processing · Electrical Eng. & Systems 2023-05-15 Mahmoud Zaher , Emil Björnson , Marina Petrova

In this work, we explore the potential and optimal use of transmitter cooperation in wireless interference networks with deep fading conditions. We consider a linear interference network with K transmitter-receiver pairs, where each…

Information Theory · Computer Science 2017-12-11 Yasemin Karacora , Tolunay Seyfi , Aly El Gamal

We show that the problem of analyzing the outage probability in cellular systems affected by co-channel interference and background noise is mathematically equivalent to the problem of analyzing the wireless information-theoretic security…

Information Theory · Computer Science 2016-11-17 Gerardo Gomez , F. Javier Lopez-Martinez , David Morales-Jimenez , Matthew R. McKay

In this paper, we consider a vehicular network in which the wireless nodes are located on a system of roads. We model the roadways, which are predominantly straight and randomly oriented, by a Poisson line process (PLP) and the locations of…

Information Theory · Computer Science 2017-09-26 Vishnu Vardhan Chetlur , Harpreet S. Dhillon

The interference in wireless networks is temporally correlated, since the node or user locations are correlated over time and the interfering transmitters are a subset of these nodes. For a wireless network where (potential) interferers…

Information Theory · Computer Science 2013-09-12 Martin Haenggi , Roxana Smarandache

We study the flow-level performance of random wireless networks. The locations of base stations (BSs) follow a Poisson point process. The number and positions of active users are dynamic. We associate a queue to each BS. The performance and…

Information Theory · Computer Science 2013-08-23 Richard Combes , Eitan Altman