More is less: Connectivity in fractal regions

Carl P. Dettmann, Orestis Georgiou, Justin P. Coon

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

5 Citations (Scopus)
270 Downloads (Pure)

Abstract

Ad-hoc networks are often deployed in regions with complicated boundaries. We show that if the boundary is modeled as a fractal, a network requiring line of sight connections has the counterintuitive property that increasing the number of nodes decreases the full connection probability. We characterise this decay as a stretched exponential involving the fractal dimension of the boundary, and discuss mitigation strategies. Applications of this study include the analysis and design of sensor networks operating in rugged terrain (e.g. railway cuttings), mm-wave networks in industrial settings and vehicle-to-vehicle/vehicle-to-infrastructure networks in urban environments.
Original languageEnglish
Title of host publication2015 International Symposium on Wireless Communication Systems (ISWCS)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages636-640
Number of pages5
ISBN (Electronic)9781467365390
ISBN (Print)9781467365406
DOIs
Publication statusPublished - 19 Apr 2016

Publication series

NameProceedings of the IEEE International Symposium on Wireless Communication Systems (ISWCS)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISSN (Print)2154-0225

Keywords

  • cs.NI
  • cond-mat.dis-nn
  • cond-mat.stat-mech

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