Percolation for D2D networks on street systems
dc.bibliographicCitation.volume | 2479 | |
dc.contributor.author | Cali, Elie | |
dc.contributor.author | En-Najjari, Taoufik | |
dc.contributor.author | Gafur, Nila Novita | |
dc.contributor.author | Hirsch, Christian | |
dc.contributor.author | Jahnel, Benedikt | |
dc.contributor.author | Patterson, Robert I.A. | |
dc.date.accessioned | 2018-04-16T09:57:57Z | |
dc.date.available | 2019-06-28T08:17:02Z | |
dc.date.issued | 2018 | |
dc.description.abstract | We study fundamental characteristics for the connectivity of multi-hop D2D networks. Devices are randomly distributed on street systems and are able to communicate with each other whenever their separation is smaller than some connectivity threshold. We model the street systems as Poisson-Voronoi or Poisson-Delaunay tessellations with varying street lengths. We interpret the existence of adequate D2D connectivity as percolation of the underlying random graph. We derive and compare approximations for the critical device-intensity for percolation, the percolation probability and the graph distance. Our results show that for urban areas, the Poisson Boolean Model gives a very good approximation, while for rural areas, the percolation probability stays far from 1 even far above the percolation threshold. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/2994 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3105 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2479 | |
dc.relation.ispartofseries | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2479, ISSN 2198-5855 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject | Percolation | eng |
dc.subject | Cox processes | eng |
dc.subject | critical values | eng |
dc.subject | street systems | eng |
dc.subject | Voronoi tessellations | eng |
dc.subject | Delaunay tessellations | eng |
dc.subject.ddc | 510 | eng |
dc.title | Percolation for D2D networks on street systems | eng |
dc.type | report | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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