On the connectivity of wireless multi-hop networks with arbitrary wireless channel models

Ta, X; Mao, G; Anderson, BDO

On the connectivity of wireless multi-hop networks with arbitrary wireless channel models

Ta, X Mao, G

Anderson, BDO

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Publication Type:: Journal Article
Citation:: IEEE Communications Letters, 2009, 13 (3), pp. 181 - 183
Issue Date:: 2009-04-08

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Field	Value	Language
dc.contributor.author	Ta, X	en_US
dc.contributor.author	Mao, G https://orcid.org/0000-0002-3598-4949	en_US
dc.contributor.author	Anderson, BDO	en_US
dc.date.issued	2009-04-08	en_US
dc.identifier.citation	IEEE Communications Letters, 2009, 13 (3), pp. 181 - 183	en_US
dc.identifier.issn	1089-7798	en_US
dc.identifier.uri	http://hdl.handle.net/10453/28443
dc.description.abstract	Considering a wireless multi-hop network where a total of n nodes are randomly, independently and uniformly distributed in a unit square in ℜ2 and each node has a uniform transmission power, a fundamental problem is to investigate the connectivity of such networks. In this letter, we prove that the probability of having a connected network and the probability of having no isolated node asymptotically converges to the same value as n goes to infinity for an arbitrary wireless channel model satisfying certain intuitively reasonable conditions. © 2009 IEEE.	en_US
dc.relation.ispartof	IEEE Communications Letters	en_US
dc.relation.isbasedon	10.1109/LCOMM.2009.082075	en_US
dc.subject.classification	Networking & Telecommunications	en_US
dc.title	On the connectivity of wireless multi-hop networks with arbitrary wireless channel models	en_US
dc.type	Journal Article
utslib.citation.volume	3	en_US
utslib.citation.volume	13	en_US
utslib.for	1005 Communications Technologies	en_US
utslib.for	0805 Distributed Computing	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CRIN - Realtime Information Networks
utslib.copyright.status	closed_access
pubs.issue	3	en_US
pubs.publication-status	Published	en_US
pubs.volume	13	en_US

Abstract:

Considering a wireless multi-hop network where a total of n nodes are randomly, independently and uniformly distributed in a unit square in ℜ2 and each node has a uniform transmission power, a fundamental problem is to investigate the connectivity of such networks. In this letter, we prove that the probability of having a connected network and the probability of having no isolated node asymptotically converges to the same value as n goes to infinity for an arbitrary wireless channel model satisfying certain intuitively reasonable conditions. © 2009 IEEE.

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http://hdl.handle.net/10453/28443