We consider communications and network systems whose properties are characterized by the gaps of the leading eigenvalues of (A Hermitian) times A for some matrix A . We show that a sufficient and necessary condition for a large eigen-gap is that A is a "hub" matrix in the sense that it has dominant columns. We describe an application of this hub theory in multiple-input and multiple-output (MIMO) wireless systems.
© (2004) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
H. T. Kung, Bruce W. Suter, "Dominant covering", Proc. SPIE 5559, Advanced Signal Processing Algorithms, Architectures, and Implementations XIV, (26 October 2004); doi: 10.1117/12.564252; https://doi.org/10.1117/12.564252

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