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Poisson Cox Point Processes for Vehicular Networks
[article]
2018
arXiv
pre-print
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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 independent Poisson point processes, conditionally on the Poisson lines, to model vehicles ...
Subsequently, Poisson line Cox point processes were used to analyze vehicular networks in [6] and to analyze heterogeneous cellular networks in [7] . ...
arXiv:1801.04556v2
fatcat:qdgupfwmunfcbb5k4n2iyu5gqq
An Analytical Framework for Coverage in Cellular Networks Leveraging Vehicles
[article]
2017
arXiv
pre-print
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A Poisson line process is used to model the road network and, conditionally on the lines, linear Poisson point processes are used to model the vehicles on the roads. ...
The conventional planar base stations and users are modeled by independent planar Poisson point processes. ...
To produce a tractable model for heterogeneous cellular network with vehicles, we propose the superposition of a stationary Cox point process on lines and a homogeneous planar Poisson point process to ...
arXiv:1711.09453v2
fatcat:qk3hc7hsezeqpduxoe4kgt6bz4
Success Probability and Area Spectral Efficiency of a VANET Modeled as a Cox Process
[article]
2018
arXiv
pre-print
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This paper analyzes the performance of a vehicular ad hoc network (VANET) modeled as a Cox process, where the spatial layout of the roads is modeled by a Poisson line process (PLP) and the locations of ...
nodes on each line are modeled as a 1D Poisson point process (PPP). ...
Dhillon Abstract-This paper analyzes the performance of a vehicular ad hoc network (VANET) modeled as a Cox process, where the spatial layout of the roads is modeled by a Poisson line process (PLP) and ...
arXiv:1804.10298v1
fatcat:3xbdkdya7zdddhphab52khmgqy
Analysis of Vehicular Safety Messaging in Cellular Networks
[article]
2020
arXiv
pre-print
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We model the locations of vehicles as a Poisson line Cox point process and the locations of users as a planar Poisson point process. ...
To address the impact of vehicular broadcast on the cellular network, the paper also derives the effective rate offered to the typical user in this setting. ...
by an independent Poisson-line Cox point process . ...
arXiv:2004.04327v1
fatcat:7lyddccy2va2phe3tsrpxdykq4
On the Load Distribution of Vehicular Users Modeled by a Poisson Line Cox Process
[article]
2020
arXiv
pre-print
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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 first characterize the total chord length distribution of the lines of the Poisson line process (PLP) intersecting the ...
Thus, under the Palm distribution of the PLCP, the resulting point process of vehicular users Φ v0 is the superposition of Φ v , a 1D PPP Ψ L0 with density λ v along the line L 0 that passes through the ...
arXiv:2008.01267v1
fatcat:qfrdk7a2z5fwnontdc3aqwwbwe
An Analysis of LOS Coverage in Vehicular Networks with Roadside Units and Relays
[article]
2021
arXiv
pre-print
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To account for the spatial relationship between vehicles and RSUs, we use Cox point processes. We assume that the LOS distances from RSUs or relays are independent and exponentially distributed. ...
As a result, the LOS coverage of those RSUs is extended by the LOS coverage newly provided by the vehicular relays. ...
Contributions To model the LOS coverage region of vehicular networks, we first model the RSUs and vehicles as Cox point processes on Poisson lines representing the roads. ...
arXiv:2110.13436v1
fatcat:m6it33iryjcvtcnrbfxwokpihi
Coverage Analysis of a Vehicular Network Modeled as Cox Process Driven by Poisson Line Process
[article]
2017
arXiv
pre-print
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We model the roadways, which are predominantly straight and randomly oriented, by a Poisson line process (PLP) and the locations of nodes on each road as a homogeneous 1D Poisson point process (PPP). ...
In this paper, we consider a vehicular network in which the wireless nodes are located on a system of roads. ...
A well-known canonical model in the literature that readily meets this requirement is a Cox process or doubly stochastic Poisson point process [13] , [14] , where the roads in a network are modeled by ...
arXiv:1709.08577v1
fatcat:z75uackqvnbhvi2oh4scch6hai
Modeling and Analysis of 2-Tier Heterogeneous Vehicular Networks Leveraging Roadside Units and Vehicle Relays
[article]
2022
arXiv
pre-print
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We present a two-dimensional analytical model where the spatial dependence between RSUs, vehicle relays, vehicle users, and roads is accurately taken into account through a Cox point process structure. ...
This paper leverages stochastic geometry to propose a novel framework for the performance analysis of heterogeneous vehicular networks with RSUs, vehicle relays, and vehicle users. ...
them as Cox point processes generated on the same Poisson line process. ...
arXiv:2204.12243v1
fatcat:hijmdtneh5b7fovixznauglg2y
Energy Utilization and Transmission Delay Optimization in Cox VANET networks
2022
E3S Web of Conferences
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For that, we model the network as a Cox Line-Point process, and the transmitter as an M/D/1 queue server. ...
It is shown , via simulations, that through our algorithm, the vehicular transmitter be able to learn its transmit power in an autonomous way, and achieve better performance for the energy utilization ...
Due to the principally linear nature, roads can be modeled using a Poisson Line Process (PLP) in R 2 that can be deduced from a Poisson Poisson Processes, where instead of points, the undirected lines ...
doi:10.1051/e3sconf/202233600066
fatcat:opvjhe4eivhlnijzl4zfpcg25i
Cox Models for Vehicular Networks: SIR Performance and Equivalence
2020
IEEE Transactions on Wireless Communications
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2021 pre-print arXiv:2106.06836v1 fatcat:oxssochzqfcfjbf5qww5mjxphy
Specifically, we prove that the Poisson stick process-based vehicular network is equivalent to the Poisson line process-based and Poisson lilypond model-based vehicular networks, and their rotational variants ...
The street system, in turn, specifies the random intensity measure of a Cox process of vehicles, i.e., vehicles form independent 1D Poisson point processes on each street. ...
A vehicular point process V ⊂ R 2 is a Cox process with random intensity measure Υ(B) = λ|S ∩ B| 1 . Equivalently, Υ(B) = λ|P 2 ∩ B| 1 since a.s. V ⊂ P 2 . ...
doi:10.1109/twc.2020.3023914
fatcat:5dema4ngobfw7jiiymlz44f7tm
Coverage and Rate Analysis of Downlink Cellular Vehicle-to-Everything (C-V2X) Communication
[article]
2019
arXiv
pre-print
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modeled as Cox processes driven by a Poisson line process (PLP) and the locations of cellular macro base stations (MBSs) are modeled as a 2D Poisson point process (PPP). ...
model inspired by the asymptotic behavior of the Cox process. ...
From the perspective of vehicular networks, the spatial model that is gaining popularity is the so-called Cox process, where the spatial layout of roads is modeled by a Poisson line process (PLP) and the ...
arXiv:1901.09236v1
fatcat:g4si5usnxjcrtmkggfgp7zkdwi
Stochastic Geometry Modeling of Cellular V2X Communication Over Shared Channels
[article]
2019
arXiv
pre-print
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By practically modeling the vehicles on the roads using the doubly stochastic Cox process and the base-stations, we derive new association probabilities, new success probabilities of infrastructure and ...
(C-V2X) communication networks, standardized in 3rd Generation Partnership Project (3GPP) Release 14, have been recently introduced to cover broader vehicular communication scenarios including vehicle-to-vehicle ...
as a Cox process on a Poisson line process (PLP). ...
arXiv:1804.08409v3
fatcat:xc4riougorcdpowokubh23ajwe
Communication and Computation Assisted Sensing Information Freshness Performance Analysis in Vehicular Networks
[article]
2022
arXiv
pre-print
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The network interference is analyzed by modeling the VNETs as Cox Poisson Point Process based on stochastic geometry and the closed-form solution of the coverage probability and the expected data rate ...
The timely sharing of raw sensing information in the vehicular networks (VNETs) is essential to safety. ...
We model the vehicles and RSUs by the Cox Poisson Point Process (PPP) which is illustrated in Fig. 1(b ). ...
arXiv:2204.05995v1
fatcat:edq6unukbrfgtiowqw3gwqijcq
Binomial Line Processes: Distance Distributions
[article]
2021
arXiv
pre-print
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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., Poisson line processes (PLP) and Manhattan line processes (MLP) lack an important aspect of city-wide street networks: streets are denser in the city ...
[8] studied a generalized framework for Cox models to study vehicular networks. ...
arXiv:2108.03804v2
fatcat:rgb57ek5drac7agnq5ums34nta
Radio Resource Dimensioning with Cox Process Based User Location Distribution
[article]
2019
arXiv
pre-print
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We distinguish between the spatial random distribution of indoor users, modeled by a spatial Poisson Point Process (spatial PPP) in a typical area covered by a 5G cell, and the distribution of outdoor ...
users modeled by a linear PPP generated in a random system of roads modeled according to a Poisson Line Process (PLP). ...
Such a model is known as Cox point process driven by PLP. ...
arXiv:1909.13809v1
fatcat:sden4yr4ljcjfe7xfyypavfpvu
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