The Balanced Unicast and Multicast Capacity Regions of Large Wireless Networks

Details The Balanced Unicast and Multicast Capacity Regions of Large Wireless Networks The Balanced Unicast and Multicast Capacity Regions of Large Wireless Networks

2008-09-08

arxiv.org/abs/0809.1344v5

IEEE Transactions on Information Theory, vol. 56, pp. 2249-2271, May 2010

Computer Science

Information Theory

37 pages, 7 figures, to appear in IEEE Transactions on Information Theory

Scientific paper

We consider the question of determining the scaling of the $n^2$-dimensional balanced unicast and the $n 2^n$-dimensional balanced multicast capacity regions of a wireless network with $n$ nodes placed uniformly at random in a square region of area $n$ and communicating over Gaussian fading channels. We identify this scaling of both the balanced unicast and multicast capacity regions in terms of $\Theta(n)$, out of $2^n$ total possible, cuts. These cuts only depend on the geometry of the locations of the source nodes and their destination nodes and the traffic demands between them, and thus can be readily evaluated. Our results are constructive and provide optimal (in the scaling sense) communication schemes.

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