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Connectivity vs capacity in dense ad hoc networks

Published 23 December 2004Open access
Olivier Dousse, Patrick Thiran
Citations190
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TL;DR

It is found that the properties of the network strongly depend on the shape of the attenuation function, and bounds on the percolation domain for large node densities are obtained, which show that either the network becomes disconnected, or the available rate per node decreases.

Abstract

We study the connectivity and capacity of finite area ad hoc wireless networks, with an increasing number of nodes (dense networks). We find that the properties of the network strongly depend on the shape of the attenuation function. For power law attenuation functions, connectivity scales, and the available rate per node is known to decrease like 1/sqrt(n). On the contrary, if the attenuation function does not have a singularity at the origin and is uniformly bounded, we obtain bounds on the percolation domain for large node densities, which show that either the network becomes disconnected, or the available rate per node decreases like 1/n.

Keywords

Computer Science