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EURASIP Journal on Wireless Communications and Networking
Article . 2012 . Peer-reviewed
License: CC BY
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Asymptotic analysis of flooding in CSMA-based large scale ad-hoc wireless networks

Authors: Javier Del Ser; Susana Pérez-Sánchez; Babak Hossein Khalaj; Seyed Pooya Shariatpanahi; Hamed Shah-Mansouri;

Asymptotic analysis of flooding in CSMA-based large scale ad-hoc wireless networks

Abstract

Abstract Abstract In this article, we study the asymptotic behavior of flooding in large scale wireless networks. Specifically, we derive an upper bound on the coverage of flooding when the number of nodes n in the network goes to infinity. We consider two different regimes of transmission radii: first, the case of constant transmission radius r where the percentage of covered nodes scales as O ( n r 2 e − K S n r 2 ) for a constant K S > 0. In this case, as an important result, we observe that the percentage of covered nodes is upper bounded by a decreasing function, vanishing as the network size grows. Second, the case of vanishing r n (i.e., r decreases as n increases) is considered where it is shown in the literature that the minimum value of r n which maintains connectivity is log n / Π n . In this case, a coverage percentage of at most O ( n − K S ′ log n ) is expected for a constant value of K S ′ > 0 , leading to an infinite number of covered nodes. In such case, the rate at which the network coverage is decreased can be controlled and be considerably reduced by a proper choice of network parameters ( K S ′ ). Consequently, this result shows that flooding is a suitable strategy even for large networks.

Keywords

Computer Networks and Communications, Signal Processing, Computer Science Applications

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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