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

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

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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 languageEnglish
Article number7913614
Pages (from-to)1707-1710
Number of pages4
JournalIEEE Communications Letters
Volume21
Issue number8
Early online date25 Apr 2017
DOIs
Publication statusPublished - 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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