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Perturbed Laguerre unitary ensembles, Hankel determinants, and information theory
Basor E.1; Chen Y.2
2015-12-01
Source PublicationMathematical Methods in the Applied Sciences
ISSN10991476 01704214
Volume38Issue:18Pages:4840-4851
Abstract

This article investigates a key information-theoretic performance metric in multiple-antenna wireless communications, the so-called outage probability. The article is partly a review, with the methodology based mainly on [10], while also presenting some new results. The outage probability may be expressed in terms of a moment generating function, which involves a Hankel determinant generated from a perturbed Laguerre weight. For this Hankel determinant, we present two separate integral representations, both involving solutions to certain non-linear differential equations. In the second case, this is identified with a particular σ-form of Painlevé V. As an alternative to the Painlevé V, we show that this second integral representation may also be expressed in terms of a non-linear second order difference equation.

Keyword15b52 34m55
DOI10.1002/mma.3399
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000368252300030
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Cited Times [WOS]:6   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorChen Y.
Affiliation1.American Institute of Mathematics, Paolo Alto, CA CA 94306 USA
2.Department of Mathematics, Faculty of Science and Technology, University of Macau, E11 Avenida da Universidade, Taipa, Macau
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Basor E.,Chen Y.. Perturbed Laguerre unitary ensembles, Hankel determinants, and information theory[J]. Mathematical Methods in the Applied Sciences,2015,38(18):4840-4851.
APA Basor E.,&Chen Y..(2015).Perturbed Laguerre unitary ensembles, Hankel determinants, and information theory.Mathematical Methods in the Applied Sciences,38(18),4840-4851.
MLA Basor E.,et al."Perturbed Laguerre unitary ensembles, Hankel determinants, and information theory".Mathematical Methods in the Applied Sciences 38.18(2015):4840-4851.
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