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

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

35 Downloads (Pure)

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

Access to Document

10.1109/LCOMM.2017.2698474

Download pdf
© 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
Accepted author manuscript, 126 KBLicence: Copyright Publisher

Cite this

@article{49ee914837a8406eae7efeb6445ebdb9,

title = "Dimension Boundary between Finite and Infinite Random Matrices in Cognitive Radio Networks",

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.",

keywords = "cognitive radio networks, dimension boundary, Finite random matrix theory, infinite random matrix theory",

author = "Wensheng Zhang and Cheng-Xiang Wang and Jian Sun and Karagiannidis, {George K.} and Yang Yang",

year = "2017",

month = aug,

doi = "10.1109/LCOMM.2017.2698474",

language = "English",

volume = "21",

pages = "1707--1710",

journal = "IEEE Communications Letters",

issn = "1089-7798",

publisher = "IEEE",

number = "8",

}

TY - JOUR

T1 - Dimension Boundary between Finite and Infinite Random Matrices in Cognitive Radio Networks

AU - Zhang, Wensheng

AU - Wang, Cheng-Xiang

AU - Sun, Jian

AU - Karagiannidis, George K.

AU - Yang, Yang

PY - 2017/8

Y1 - 2017/8

N2 - 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.

AB - 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.

KW - cognitive radio networks

KW - dimension boundary

KW - Finite random matrix theory

KW - infinite random matrix theory

UR - http://www.scopus.com/inward/record.url?scp=85029471121&partnerID=8YFLogxK

U2 - 10.1109/LCOMM.2017.2698474

DO - 10.1109/LCOMM.2017.2698474

M3 - Article

AN - SCOPUS:85029471121

SN - 1089-7798

VL - 21

SP - 1707

EP - 1710

JO - IEEE Communications Letters

JF - IEEE Communications Letters

IS - 8

M1 - 7913614

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this