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We consider the point process of signal strengths from transmitters in a wireless network observed from a fixed position under models with general signal path loss and random propagation effects. We show via coupling arguments that under…

Probability · Mathematics 2014-11-20 Holger Paul Keeler , Nathan Ross , Aihua Xia

Among the different models of networks usually considered, the hexagonal network model is the most popular. However, it requires extensive numerical computations. The Poisson network model, for which the base stations (BS) locations form a…

Information Theory · Computer Science 2014-01-27 Jean-Marc Kelif , Stephane Senecal , Constant Bridon , Marceau Coupechoux

Consider orthogonal planes in the 3-D space representing floors and walls in a large building. These planes divide the space into rooms where a wireless infrastructure is deployed. This paper is focused on the analysis of the correlated…

Information Theory · Computer Science 2016-03-24 Junse Lee , Xinchen Zhang , Francois Baccelli

In wireless networks with random node distribution, the underlying point process model and the channel fading process are usually considered separately. A unified framework is introduced that permits the geometric characterization of fading…

Information Theory · Computer Science 2007-11-14 Martin Haenggi

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

Interference management has become a key factor in regulating transmissions in wireless communication networks. To support effective interference management schemes, it can be essential to have prior knowledge about the network topology. In…

Information Theory · Computer Science 2021-01-01 Tolunay Seyfi , Ahmed P. Mohamed , Aly El Gamal

In this paper, we analyze the energy coverage performance of heterogeneous millimeter wave (mmWave) wireless power transfer (WPT) networks, where macro base stations (MBSs) are distributed according to a Poisson point process (PPP), the…

Information Theory · Computer Science 2021-02-23 Fangzhou Yu , Chao Zhang

The interference at a wireless node s can be modelled by the number of wireless nodes whose transmission ranges cover s. Given a set of positions for wireless nodes, the interference minimization problem is to assign a transmission radius…

Computational Geometry · Computer Science 2011-11-30 Majid Khabbazian , Stephane Durocher , Alireza Haghnegahdar

This paper develops a stochastic geometry-based approach for the modeling and analysis of single- and multi-cluster wireless networks. We first define finite homogeneous Poisson point processes to model the number and locations of the…

Information Theory · Computer Science 2017-12-27 Seyed Mohammad Azimi-Abarghouyi , Behrooz Makki , Martin Haenggi , Masoumeh Nasiri-Kenari , Tommy Svensson

With the increased competition for the electromagnetic spectrum, it is important to characterize the impact of interference in the performance of a wireless network, which is traditionally measured by its throughput. This paper presents a…

Networking and Internet Architecture · Computer Science 2010-07-19 Pedro C. Pinto , Moe Z. Win

In substations, the presence of random transient impulsive interference sources makes noise highly non-Gaussian. In this paper, the primary interest is to provide a general model for wireless channel in presence of these transient impulsive…

Methodology · Statistics 2015-04-28 Minh Au , Basile L. Agba , François Gagnon

Assuming a network of infinite extent, several researchers have analyzed small-cell networks using a Poisson point process (PPP) location model, leading to simple analytic expressions. The general assumption has been that these results…

Information Theory · Computer Science 2015-12-11 S. Alireza Banani , Andrew W. Eckford , Raviraj S. Adve

Future wireless networks are expected to be a convergence of many diverse network technologies and architectures, such as cellular networks, wireless local area networks, sensor networks, and device to device communications. Through…

Information Theory · Computer Science 2015-07-03 Young Jin Chun , Simon L. Cotton , Mazen O. Hasna , Ali Ghrayeb

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

Network dynamics with point-process-based interactions are of paramount modeling interest. Unfortunately, most relevant dynamics involve complex graphs of interactions for which an exact computational treatment is impossible. To circumvent…

Probability · Mathematics 2022-11-22 François Baccelli , Michel Davydov , Thibaud Taillefumier

Cooperation in cellular networks is a promising scheme to improve system performance. Existing works consider that a user dynamically chooses the stations that cooperate for his/her service, but such assumption often has practical…

Networking and Internet Architecture · Computer Science 2016-11-09 Luis David Alvarez Corrales , Anastasios Giovanidis , Philippe Martins , Laurent Decreusefond

Owing to its unparalleled tractability, the Poisson point process (PPP) has emerged as a popular model for the analysis of cellular networks. Considering a stationary point process of users, which is independent of the base station (BS)…

Information Theory · Computer Science 2019-08-29 Praful D. Mankar , Priyabrata Parida , Harpreet S. Dhillon , Martin Haenggi

The uplink of a wireless network with base stations distributed according to a Poisson Point Process (PPP) is analyzed. The base stations are assumed to have a large number of antennas and use linear minimum-mean-square-error (MMSE) spatial…

Information Theory · Computer Science 2013-11-20 Siddhartan Govindasamy

Although monitoring and covering are fundamental goals of a wireless sensor network (WSN), the accidental death of sensors or the running out of their energy would result in holes in the WSN. Such holes have the potential to disrupt the…

Computational Geometry · Computer Science 2021-06-22 Mansoor Davoodi , Esmaeil Delfaraz , Sajjad Ghobadi , Mahtab Masoori

In this paper, we study the performance, in terms of the asymptotic error probability, of a user which communicates with a destination with the aid of a full-duplex in-band relay. We consider that the network is interference-limited, and…

Information Theory · Computer Science 2014-05-16 Andres Altieri , Leonardo Rey Vega , Pablo Piantanida , Cecilia G. Galarza