The Transport Capacity of a Wireless Network is a Subadditive Euclidean Functional

Details The Transport Capacity of a Wireless Network is a Subadditive Euclidean Functional The Transport Capacity of a Wireless Network is a Subadditive Euclidean Functional

2008-07-17

arxiv.org/abs/0807.2859v1

Computer Science

Information Theory

Scientific paper

10.1239/jap/1285335416

The transport capacity of a dense ad hoc network with n nodes scales like \sqrt(n). We show that the transport capacity divided by \sqrt(n) approaches a non-random limit with probability one when the nodes are i.i.d. distributed on the unit square. We prove that the transport capacity under the protocol model is a subadditive Euclidean functional and use the machinery of subadditive functions in the spirit of Steele to show the existence of the limit.

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