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We introduce the binomial line process (BLP), a novel spatial stochastic model for the characterization of streets in the statistical evaluation of wireless and vehicular networks. Existing stochastic geometry models for streets, e.g.,…

Physics and Society · Physics 2021-10-07 Gourab Ghatak

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 impact of discrete clutter and co-channel interference on the performance of automotive radar networks has been studied using stochastic geometry, in particular, by leveraging two-dimensional Poisson point processes (PPPs). However,…

Information Theory · Computer Science 2026-01-22 Mohammad Taha Shah , Gourab Ghatak , Ankit Kumar , Shobha Sundar Ram

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

This paper analyzes statistical properties of the Poisson line Cox point process useful in the modeling of vehicular networks. The point process is created by a two-stage construction: a Poisson line process to model road infrastructure and…

Information Theory · Computer Science 2018-07-24 Chang-Sik Choi , François Baccelli

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

We study the performance of wireless links for a class of Poisson networks, in which packets arrive at the transmitters following Bernoulli processes. By combining stochastic geometry with queueing theory, two fundamental measures are…

Information Theory · Computer Science 2020-07-22 Howard H. Yang , Tony Q. S. Quek , H. Vincent Poor

In this letter, we characterize the load on the cellular macro base stations (MBSs) due to vehicular users modeled by a Poisson line Cox process (PLCP). Modeling the locations of MBSs by a homogeneous 2D Poisson point process (PPP), we…

Information Theory · Computer Science 2020-08-05 Vishnu Vardhan Chetlur , Harpreet S. Dhillon

Practical wireless networks are finite, and hence non-stationary with nodes typically non-homo-geneously deployed over the area. This leads to a location-dependent performance and to boundary effects which are both often neglected in…

Information Theory · Computer Science 2014-01-03 Ralph Tanbourgi , Holger Jäkel , Friedrich K. Jondral

Keeler, Ross and Xia (2016) recently derived approximation and convergence results, which imply that the point process formed from the signal strengths received by an observer in a wireless network under a general statistical propagation…

Networking and Internet Architecture · Computer Science 2016-11-09 Paul Keeler , Nathan Ross , Aihua Xia , Bartlomiej Blaszczyszyn

Offloading of cellular traffic through a wireless local area network (WLAN) is theoretically evaluated. First, empirical data sets of the locations of WLAN internet access points are analyzed and an inhomogeneous Poisson process consisting…

Performance · Computer Science 2014-03-12 Hiroshi Saito , Ryoichi Kawahara

Quality of service (QoS) provisioning in next-generation mobile communications systems entails a deep understanding of the delay performance. The delay in wireless networks is strongly affected by the traffic arrival process and the service…

Information Theory · Computer Science 2018-04-23 Marios Kountouris , Nikolaos Pappas , Apostolos Avranas

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 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

We study the biased random walk process in random uncorrelated networks with arbitrary degree distributions. In our model, the bias is defined by the preferential transition probability, which, in recent years, has been commonly used to…

Disordered Systems and Neural Networks · Physics 2013-05-29 Agata Fronczak , Piotr Fronczak

The upcoming fifth generation (5G) New Radio (NR) interface inherits many concepts and techniques from 4G systems such as the Orthogonal Frequency Division Multiplex (OFDM) based waveform and multiple access. Dimensioning 5G NR interface…

Networking and Internet Architecture · Computer Science 2019-10-01 Ridha Nasri , Jalal Rachad , Laurent Decreusefond

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

Stochastic geometry models of wireless networks based on Poisson point processes are increasingly being developed with a focus on studying various signal-to-interference-plus-noise ratio (SINR) values. We show that the SINR values…

Probability · Mathematics 2014-08-05 Holger Paul Keeler , Bartlomiej Blaszczyszyn

In this paper, we analyze the performance of cellular networks and study the optimal base station (BS) density to reduce the network power consumption. In contrast to previous works with similar purpose, we consider Poisson traffic for…

Information Theory · Computer Science 2015-06-24 Zheng Chen , Ling Qiu

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
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