Phase transition width of connectivity of wireless multi-hop networks in shadowing environment

Ta, X; Mao, G; Anderson, BDO

Phase transition width of connectivity of wireless multi-hop networks in shadowing environment

Ta, X Mao, G

Anderson, BDO

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Publication Type:: Conference Proceeding
Citation:: GLOBECOM - IEEE Global Telecommunications Conference, 2009
Issue Date:: 2009-12-01

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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	2009-12-01	en_US
dc.identifier.citation	GLOBECOM - IEEE Global Telecommunications Conference, 2009	en_US
dc.identifier.isbn	9781424441488	en_US
dc.identifier.uri	http://hdl.handle.net/10453/29411
dc.description.abstract	In this paper, we study the well-known phase transition behavior of connectivity in a wireless multi-hop network, but, in contrast to other studies, in a shadowing environment. We consider that a total of n nodes are randomly, independently and uniformly distributed on a unit square in ℛ2, each node has a uniform transmission power and any two nodes are directly connected if and only if the power received by one node from the other node, as determined by the log-normal shadowing model, is larger than or equal to a given threshold. We extend the results obtained under the unit disk communication model in previous work to the more realistic log-normal shadowing model, and derive an analytical formula for the phase transition width of connectivity for large n. We also demonstrate how our results can be extended to higher dimensional networks and to other channel models.	en_US
dc.relation.ispartof	GLOBECOM - IEEE Global Telecommunications Conference	en_US
dc.relation.isbasedon	10.1109/GLOCOM.2009.5425885	en_US
dc.title	Phase transition width of connectivity of wireless multi-hop networks in shadowing environment	en_US
dc.type	Conference Proceeding
utslib.for	0805 Distributed Computing	en_US
dc.location.activity	Honolulu, HI	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.publication-status	Published	en_US

Abstract:

In this paper, we study the well-known phase transition behavior of connectivity in a wireless multi-hop network, but, in contrast to other studies, in a shadowing environment. We consider that a total of n nodes are randomly, independently and uniformly distributed on a unit square in ℛ2, each node has a uniform transmission power and any two nodes are directly connected if and only if the power received by one node from the other node, as determined by the log-normal shadowing model, is larger than or equal to a given threshold. We extend the results obtained under the unit disk communication model in previous work to the more realistic log-normal shadowing model, and derive an analytical formula for the phase transition width of connectivity for large n. We also demonstrate how our results can be extended to higher dimensional networks and to other channel models.

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http://hdl.handle.net/10453/29411