Phase Transition Width of Connectivity of Wireless Multi-Hop Networks in Shadowing Environment

Xiaoyuan Ta; Guoqiang Mao; Brian D.O. Anderson

doi:10.1109/GLOCOM.2009.5425885

Phase Transition Width of Connectivity of Wireless Multi-Hop Networks in Shadowing Environment

Xiaoyuan Ta^*, Guoqiang Mao, Brian D.O. Anderson

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Citations (Scopus)

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.

Original language	English
Title of host publication	GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference
Publisher	Institute of Electrical and Electronics Engineers Inc.
Number of pages	6
ISBN (Print)	978-1-4244-4148-8
DOIs	https://doi.org/10.1109/GLOCOM.2009.5425885
Publication status	Published - 2009
Event	2009 IEEE Global Telecommunications Conference, GLOBECOM 2009 - Honolulu, HI, United States Duration: 30 Nov 2009 → 4 Dec 2009

Publication series

Name
ISSN (Print)	1930-529X

Conference

Conference	2009 IEEE Global Telecommunications Conference, GLOBECOM 2009
Country/Territory	United States
City	Honolulu, HI
Period	30/11/09 → 4/12/09

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10.1109/GLOCOM.2009.5425885

Cite this

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title = "Phase Transition Width of Connectivity of Wireless Multi-Hop Networks in Shadowing Environment",

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.",

author = "Xiaoyuan Ta and Guoqiang Mao and Anderson, {Brian D.O.}",

year = "2009",

doi = "10.1109/GLOCOM.2009.5425885",

language = "English",

isbn = "978-1-4244-4148-8",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference",

address = "United States",

note = "2009 IEEE Global Telecommunications Conference, GLOBECOM 2009 ; Conference date: 30-11-2009 Through 04-12-2009",

}

Ta, X, Mao, G & Anderson, BDO 2009, Phase Transition Width of Connectivity of Wireless Multi-Hop Networks in Shadowing Environment. in GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference., 5425885, Institute of Electrical and Electronics Engineers Inc., 2009 IEEE Global Telecommunications Conference, GLOBECOM 2009, Honolulu, HI, United States, 30/11/09. https://doi.org/10.1109/GLOCOM.2009.5425885

Phase Transition Width of Connectivity of Wireless Multi-Hop Networks in Shadowing Environment. / Ta, Xiaoyuan; Mao, Guoqiang; Anderson, Brian D.O.
GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference. Institute of Electrical and Electronics Engineers Inc., 2009. 5425885.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Phase Transition Width of Connectivity of Wireless Multi-Hop Networks in Shadowing Environment

AU - Ta, Xiaoyuan

AU - Mao, Guoqiang

AU - Anderson, Brian D.O.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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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U2 - 10.1109/GLOCOM.2009.5425885

DO - 10.1109/GLOCOM.2009.5425885

M3 - Conference contribution

SN - 978-1-4244-4148-8

BT - GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2009 IEEE Global Telecommunications Conference, GLOBECOM 2009

Y2 - 30 November 2009 through 4 December 2009

ER -

Phase Transition Width of Connectivity of Wireless Multi-Hop Networks in Shadowing Environment

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