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The Balanced Unicast and Multicast Capacity Regions of Large Wireless Networks

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Niesen-2010-The Balanced Unicast and Multicast Capacity Regions of Large Wireless Networks.pdf

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Author(s)
Niesen, Urs
•
Gupta, Piyush
•
Shah, Devavrat
Date Issued
May 2010
Journal
IEEE Transactions on Information Theory
Publisher
Institute of Electrical and Electronics Engineers
Citation
Niesen, U., P. Gupta, and D. Shah. “The Balanced Unicast and Multicast Capacity Regions of Large Wireless Networks.” Information Theory, IEEE Transactions On 56.5 (2010) : 2249-2271. © 2010 IEEE.
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Final published version
Abstract
We consider the question of determining the scaling of the n[superscript n] -dimensional balanced unicast and the n 2[superscript 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[superscript 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.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/62201
DOI of Published Version
https://doi.org/10.1109/tit.2010.2043979
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