Network connectivity: Stochastic vs. deterministic wireless channels

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

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

7 Citations (Scopus)

Abstract

We study the effect of stochastic wireless channel models on the connectivity of ad hoc networks. Unlike in the deterministic geometric disk model where nodes connect if they are within a certain distance from each other, stochastic models attempt to capture small-scale fading effects due to shadowing and multipath received signals. Through analysis of local and global network observables, we present conclusive evidence suggesting that network behaviour is highly dependent upon whether a stochastic or deterministic connection model is employed. Specifically we show that the network mean degree is lower (higher) for stochastic wireless channels than for deterministic ones, if the path loss exponent is greater (lesser) than the spatial dimension. Similarly, the probability of forming isolated pairs of nodes in an otherwise dense random network is much less for stochastic wireless channels than for deterministic ones. The latter realisation explains why the upper bound of k-connectivity is tighter for stochastic wireless channels. We obtain closed form analytic results and compare to extensive numerical simulations.

Original languageEnglish
Title of host publication2014 IEEE International Conference on Communications, ICC 2014
PublisherIEEE Computer Society
Pages77-82
Number of pages6
ISBN (Print)9781479920037
DOIs
Publication statusPublished - 1 Jan 2014
Event2014 1st IEEE International Conference on Communications, ICC 2014 - Sydney, NSW, United Kingdom
Duration: 10 Jun 201414 Jun 2014

Conference

Conference2014 1st IEEE International Conference on Communications, ICC 2014
CountryUnited Kingdom
CitySydney, NSW
Period10/06/1414/06/14

Keywords

  • channel randomness
  • Connectivity
  • outage
  • stochastic geometry

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