Connectivity properties of a packet radio network model

A model of a packet radio network in which transmitters with range R are distributed according to a two-dimensional Poisson point process with density D is examined. To ensure network connectivity, it is shown that pi R/sup 2/D, the expected number of nearest neighbors of a transmitter, must grow lo...

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Veröffentlicht in:IEEE transactions on information theory 1989-09, Vol.35 (5), p.1044-1047
Hauptverfasser: Philips, T.K., Panwar, S.S., Tantawi, A.N.
Format: Artikel
Sprache:eng
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Zusammenfassung:A model of a packet radio network in which transmitters with range R are distributed according to a two-dimensional Poisson point process with density D is examined. To ensure network connectivity, it is shown that pi R/sup 2/D, the expected number of nearest neighbors of a transmitter, must grow logarithmically with the area of the network. For an infinite area there exists an infinite connected component with nonzero probability if pi R/sup 2/D>N/sub 0/, for some critical value N/sub 0/. It is shown that 2.195
ISSN:0018-9448
1557-9654
DOI:10.1109/18.42219