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Connectivity in obstructed wireless networks: from geometry to percolation

Published: 29 July 2013 Publication History

Abstract

In this work, we analyze an alternative model for obstructed wireless networks. The model is based on a grid structure of one-dimensional street segments and two-dimensional street intersections. This structure provides a realistic representation of a variety of network scenarios with obstacles and, at the same time, allows a simple enough analysis, which is partly based on percolation theory and partly based on geometric properties. We propose three different ways of modeling the geometric part of the network and derive analytical bounds for the connectivity probability and the critical transmission range for connectivity in the network. Finally, we present extensive simulations that demonstrate that our analytical results provide good approximations, especially for high density scenarios.

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Cited By

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  • (2015)Boosting named data networking for efficient packet forwarding in urban VANET scenariosThe 21st IEEE International Workshop on Local and Metropolitan Area Networks10.1109/LANMAN.2015.7114718(1-6)Online publication date: Apr-2015
  • (2015)Connectivity of Soft Random Geometric Graphs over AnnuliJournal of Statistical Physics10.1007/s10955-015-1436-1162:4(1068-1083)Online publication date: 29-Dec-2015
  • (2015)Theoretical analysis on caching effects in urban vehicular ad hoc networksWireless Communications and Mobile Computing10.1002/wcm.265116:13(1759-1772)Online publication date: 25-Nov-2015
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      cover image ACM Conferences
      MobiHoc '13: Proceedings of the fourteenth ACM international symposium on Mobile ad hoc networking and computing
      July 2013
      322 pages
      ISBN:9781450321938
      DOI:10.1145/2491288
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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      Published: 29 July 2013

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      Author Tags

      1. critical transmission range
      2. obstructed networks
      3. percolation theory
      4. wireless ad hoc networks

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      View all
      • (2015)Boosting named data networking for efficient packet forwarding in urban VANET scenariosThe 21st IEEE International Workshop on Local and Metropolitan Area Networks10.1109/LANMAN.2015.7114718(1-6)Online publication date: Apr-2015
      • (2015)Connectivity of Soft Random Geometric Graphs over AnnuliJournal of Statistical Physics10.1007/s10955-015-1436-1162:4(1068-1083)Online publication date: 29-Dec-2015
      • (2015)Theoretical analysis on caching effects in urban vehicular ad hoc networksWireless Communications and Mobile Computing10.1002/wcm.265116:13(1759-1772)Online publication date: 25-Nov-2015
      • (2014)Connectivity at crossroads2014 IEEE 25th Annual International Symposium on Personal, Indoor, and Mobile Radio Communication (PIMRC)10.1109/PIMRC.2014.7136394(1437-1441)Online publication date: Sep-2014

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