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We develop an analytical framework to examine the line-of-sight (LOS) coverage area in vehicular networks with roadside units (RSU) and vehicle relays. In practical deployment scenarios, RSUs and vehicle relays are spatially correlated and…

Signal Processing · Electrical Eng. & Systems 2023-01-20 Chang-Sik Choi , François Baccelli

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

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

In this paper, we provide the model of the multilayer aerial network (MAN), composed unmanned aerial vehicles (UAVs) that distributed in Poisson point process (PPP) with different densities, heights, and transmission power. In our model, we…

Signal Processing · Electrical Eng. & Systems 2018-07-18 Dongsun Kim , Jemin Lee , Tony Q. S. Quek

We consider a general heterogeneous network in which, besides general propagation effects (shadowing and/or fading), individual base stations can have different emitting powers and be subject to different parameters of Hata-like path-loss…

Networking and Internet Architecture · Computer Science 2014-09-17 Bartlomiej Blaszczyszyn , Holger Paul Keeler

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

This paper analyzes the impact of user mobility in multi-tier heterogeneous networks. We begin by obtaining the handoff rate for a mobile user in an irregular cellular network with the access point locations modeled as a homogeneous Poisson…

Networking and Internet Architecture · Computer Science 2015-01-09 Sanam Sadr , Raviraj S. Adve

The downlink coverage probability of a cellular network, when the base station locations are modelled by a Poisson point process (PPP), is known when the desired channel is Nakagami distributed with an integer shape parameter. However, for…

Information Theory · Computer Science 2016-10-25 Sudharsan Parthasarathy , Radha Krishna Ganti

In this paper, a new mathematical framework to the analysis of millimeter wave cellular networks is introduced. Its peculiarity lies in considering realistic path-loss and blockage models, which are derived from recently reported…

Information Theory · Computer Science 2016-11-15 Marco Di Renzo

Coverage is one of the fundamental issues in wireless sensor networks (WSNs). It reflects the ability of WSNs to detect the fields of interest. In a real sensor networks application, the detection area is always non-ideal and the terrain of…

Networking and Internet Architecture · Computer Science 2013-12-25 Lin Feng , Tie Qiu , Zhenlong Sun , Feng Xia , Yu Zhou

In this paper, a new mathematical framework to the analysis of millimeter wave cellular networks is introduced. Its peculiarity lies in considering realistic path-loss and blockage models, which are derived from experimental data recently…

Information Theory · Computer Science 2016-11-17 Marco Di Renzo

The spatial correlations in transmitter node locations introduced by common multiple access protocols makes the analysis of interference, outage, and other related metrics in a wireless network extremely difficult. Most works therefore…

Information Theory · Computer Science 2016-11-17 Radha Krishna Ganti , Francois Baccelli , Jeffrey G. Andrews

In this paper, we study coverage probabilities of the UAV-assisted cellular network modeled by 2-dimension (2D) Poisson point process. The cellular user is assumed to connect to the nearest aerial base station. We derive the explicit…

Information Theory · Computer Science 2018-05-14 Lai Zhou , Zhi Yang , Shidong Zhou , Wei Zhang

We analyze the coverage probability of multi-user uplink cellular networks with fractional power control. We use a stochastic geometry approach where the mobile users are distributed as a Poisson Point Process (PPP), whereas the serving…

Information Theory · Computer Science 2020-04-02 F. Javier Martin-Vega , F. Javier Lopez-Martinez , Gerardo Gomez , Mari Carmen Aguayo-Torres

This paper studies the performance and key structural properties of the optimum location-based relay selection policy for wireless networks consisting of homogeneous Poisson distributed relays. The distribution of the channel quality…

Signal Processing · Electrical Eng. & Systems 2021-07-13 Hazer Inaltekin , Saman Atapattu , Jamie S. Evans

Vehicle-to-infrastructure (V2I) communication may provide high data rates to vehicles via millimeter-wave (mmWave) microcellular networks. This paper uses stochastic geometry to analyze the coverage of urban mmWave microcellular networks.…

Networking and Internet Architecture · Computer Science 2018-04-13 Yuyang Wang , Kiran Venugopal , Andreas F. Molisch , Robert W. Heath

A new random geometric graph model, the so-called secrecy graph, is introduced and studied. The graph represents a wireless network and includes only edges over which secure communication in the presence of eavesdroppers is possible. The…

Information Theory · Computer Science 2016-11-15 Martin Haenggi

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

This paper introduces a new macroscopic perspective for simulating transportation networks. The idea is to look at the network as connected nodes. Each node sends an information package to its neighbors. Basically, the information package…

Dynamical Systems · Mathematics 2024-07-19 Omar Mansour , Tomer Toledo , Shadi Haj-Yahia , Wafa Elias

We study large-deviation principles for a model of wireless networks consisting of Poisson point processes of transmitters and receivers, respectively. To each transmitter we associate a family of connectable receivers whose…

Probability · Mathematics 2015-06-02 Christian Hirsch , Benedikt Jahnel , Paul Keeler , Robert I. A. Patterson
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