Line-of-sight Cox percolation on Poisson–Delaunay triangulation

In this work, percolation properties of device-to-device (D2D) networks in urban environments are investigated. On a street system modeled by a Poisson–Delaunay triangulation (PDT), users are of two types: given either by a Cox process supported by the edges of the PDT (i.e. on streets) or by a Bern...

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Bibliographic Details
Published inStochastic processes and their applications Vol. 176; p. 104435
Main Authors Corlin Marchand, David, Coupier, David, Henry, Benoît
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.10.2024
Elsevier
Subjects
Continuum percolation
Cox point process
D2D network
Enhancement
Mathematics
Probability
Random environment
Stochastic geometry
secondary
Stochastic geometry
Random environment
D2D network
Cox point process
Continuum percolation
Enhancement
primary
60D05 Secondary: 68M10
60G55
90B15
random environment
continuum percolation
enhancement AMS 2010 Subject Classification: Primary: 60K35
stochastic geometry
enhancement AMS 2010 Subject Classification: Primary: 60K35 60G55 60D05 Secondary: 68M10 90B15
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Summary:In this work, percolation properties of device-to-device (D2D) networks in urban environments are investigated. On a street system modeled by a Poisson–Delaunay triangulation (PDT), users are of two types: given either by a Cox process supported by the edges of the PDT (i.e. on streets) or by a Bernoulli process on the vertices of the PDT (i.e. at crossroads). We state several percolation regimes for the resulting connectivity graph according to the parameters of the model. This work completes and specifies results of Le Gall et al. (2021). To do it, we take advantage of a percolation tool, inspired by enhancement techniques, used to our knowledge for the first time in the context of communication networks.
ISSN:0304-4149
1879-209X
DOI:10.1016/j.spa.2024.104435