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A Hub Matrix Theory and Applications to Wireless Communications

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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Correspondence to H. T. Kung.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://doi.org/creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kung, H.T., Suter, B.W. A Hub Matrix Theory and Applications to Wireless Communications. EURASIP J. Adv. Signal Process. 2007, 013659 (2007). https://doi.org/10.1155/2007/13659

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Keywords

  • Information Technology
  • Wireless Communication
  • Quantum Information
  • Matrix Theory
  • Network System