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In our basic model, we study a stationary Poisson pattern of nodes on a line embedded in an independent planar Poisson field of interfering nodes. Assuming slotted Aloha and the signal-to-interference-and-noise ratio capture condition, with…

Networking and Internet Architecture · Computer Science 2015-03-20 Bartlomiej Blaszczyszyn , Paul Muhlethaler

In practice, wireless networks are deployed over finite domains, the level of mobility is different at different locations, and user mobility is correlated over time. All these features have an impact on the temporal properties of…

Networking and Internet Architecture · Computer Science 2020-09-01 Konstantinos Koufos , Carl P. Dettmann

Spatial networks, in which nodes and edges are embedded in space, play a vital role in the study of complex systems. For example, many social networks attach geo-location information to each user, allowing the study of not only topological…

Social and Information Networks · Computer Science 2014-03-05 Nicholas D. Larusso , Brian E. Ruttenberg , Ambuj Singh

The current analysis of wireless networks whose transceivers are confined to streets is largely based on Poissonian models, such as Poisson line processes and Poisson line Cox processes. We demonstrate important scenarios where a model with…

Information Theory · Computer Science 2023-06-14 Mohammad Taha Shah , Gourab Ghatak , Souradip Sanyal , Martin Haenggi

We consider arbitrary dense wireless networks, in which $n$ nodes are placed in an arbitrary (deterministic) manner on a square region of unit area and communicate with each other over Gaussian fading channels. We provide inner and outer…

Information Theory · Computer Science 2011-08-09 Urs Niesen

A mobile wireless delay-tolerant network (DTN) model is proposed and analyzed, in which infinitely many nodes are initially placed on R^2 according to a uniform Poisson point process (PPP) and subsequently travel, independently of each…

Information Theory · Computer Science 2018-03-01 Riccardo Cavallari , Stavros Toumpis , Roberto Verdone , Ioannis Kontoyiannis

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

Stochastic networks based on random point sets as nodes have attracted considerable interest in many applications, particularly in communication networks, including wireless sensor networks, peer-to-peer networks and so on. The study of…

Probability · Mathematics 2020-08-26 Subhroshekhar Ghosh , Kumarjit Saha

A recent approach in modeling and analysis of the supply and demand in heterogeneous wireless cellular networks has been the use of two independent Poisson point processes (PPPs) for the locations of base stations (BSs) and user equipments…

Networking and Internet Architecture · Computer Science 2015-05-04 Meisam Mirahsan , Rainer Schoenen , Halim Yanikomeroglu

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 investigates the problem of Gaussian approximation for the wireless multi-access interference distribution in large spatial wireless networks. First, a principled methodology is presented to establish rates of convergence of the…

Probability · Mathematics 2015-06-04 Hazer Inaltekin

Future wireless networks are expected to adopt many different network technologies and architectures that promise to greatly enhance data rate and provide ubiquitous coverage for end users, all while enabling higher spectral efficiency.…

Information Theory · Computer Science 2018-07-23 S. Talarico , M. C. Valenti , M. Di Renzo

Modeling the locations of nodes as a uniform binomial point process (BPP), we present a generic mathematical framework to characterize the performance of an arbitrarily-located reference receiver in a finite wireless network. Different from…

Information Theory · Computer Science 2016-06-22 Mehrnaz Afshang , Harpreet S. Dhillon

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

Interference-aware resource allocation of time slots and frequency channels in single-antenna, halfduplex radio wireless sensor networks (WSN) is challenging. Devising distributed algorithms for such task further complicates the problem.…

Information Theory · Computer Science 2017-03-21 Panos N. Alevizos , Efthymios A. Vlachos , Aggelos Bletsas

This article presents a biological neural network model driven by inhomogeneous Poisson processes accounting for the intrinsic randomness of synapses. The main novelty is the introduction of local interactions: each firing neuron triggers…

Probability · Mathematics 2021-08-17 Maximiliano Altamirano , Roberto Cortez , Matthieu Jonckheere , Lasse Leskelä

A key challenge in wireless networking is the management of interference between transmissions. Identifying which transmitters interfere with each other is a crucial first step. In this paper we cast the task of estimating the a wireless…

Information Theory · Computer Science 2016-12-19 Jing Yang , Stark Draper , Robert Nowak

In random access protocols, the service rate depends on the number of stations with a packet buffered for transmission. We demonstrate via numerical analysis that this state-dependent rate along with the consideration of Poisson traffic and…

Networking and Internet Architecture · Computer Science 2014-05-23 Cristina Cano , David Malone

The capability of nodes to broadcast their message to the entire wireless network when nodes employ cooperation is considered. We employ an asymptotic analysis using an extended random network setting and show that the broadcast performance…

Information Theory · Computer Science 2015-03-19 Cagatay Capar , Dennis Goeckel , Don Towsley

The downlink of a wireless network where multi-antenna base stations (BSs) communicate with single-antenna mobile stations (MSs) using maximal ratio transmission (MRT) is considered here. The locations of BSs are modeled by a homogeneous…

Information Theory · Computer Science 2015-08-28 George C. Alexandropoulos , Marios Kountouris