Open Access

A Hub Matrix Theory and Applications to Wireless Communications

EURASIP Journal on Advances in Signal Processing20072007:013659

https://doi.org/10.1155/2007/13659

Received: 24 July 2006

Accepted: 22 January 2007

Published: 6 May 2007

Abstract

This paper considers communications and network systems whose properties are characterized by the gaps of the leading eigenvalues of for a matrix . It is shown that a sufficient and necessary condition for a large eigen-gap is that is a "hub" matrix in the sense that it has dominant columns. Some applications of this hub theory in multiple-input and multiple-output (MIMO) wireless systems are presented.

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Authors’ Affiliations

(1)
Harvard School of Engineering and Applied Sciences, Harvard University
(2)
US Air Force Research Laboratory

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Copyright

© H. T. Kung and B.W. Suter. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.