Dimension Boundary between Finite and Infinite Random Matrices in Cognitive Radio Networks

Wensheng Zhang; Cheng-Xiang Wang; Jian Sun; George K. Karagiannidis; Yang Yang

doi:10.1109/LCOMM.2017.2698474

Dimension Boundary between Finite and Infinite Random Matrices in Cognitive Radio Networks

Wensheng Zhang, Cheng-Xiang Wang, Jian Sun^*, George K. Karagiannidis, Yang Yang

^*Corresponding author for this work

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Abstract

The dimension boundary between finite random matrices and infinite random matrices is originally defined in this letter. The proposed boundary provides a theoretical approach to classify random matrices based on their dimensions. Two methods are proposed to determine the dimension boundary. One is based on the eigenvalue distribution and the other is based on the eigenvalue interval. In particular, a boundary-based threshold generation scheme in cognitive radio networks is studied. The theoretical analysis and numerical results verify the proposed dimension boundary and the corresponding boundary decision methods.

Original language	English
Article number	7913614
Pages (from-to)	1707-1710
Number of pages	4
Journal	IEEE Communications Letters
Volume	21
Issue number	8
Early online date	25 Apr 2017
DOIs	https://doi.org/10.1109/LCOMM.2017.2698474
Publication status	Published - Aug 2017

Keywords

cognitive radio networks
dimension boundary
Finite random matrix theory
infinite random matrix theory

ASJC Scopus subject areas

Modelling and Simulation
Computer Science Applications
Electrical and Electronic Engineering

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Dimension Boundary between Finite and Infinite Random Matrices in Cognitive Radio Networks

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Keywords

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