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 |
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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 | |
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