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A mathematical framework for expressing multivariate distributions useful in wireless communications Open Access


Other title
Multivariate statistics
Multiple antenna systems
Wireless communications
Type of item
Degree grantor
University of Alberta
Author or creator
Hemachandra, Kasun Thilina
Supervisor and department
Dr. Norman C. Beaulieu (Electrical and Computer Engineering)
Examining committee member and department
Dr. Chintha Tellambura (Electrical and Computer Engineering)
Dr. Byron Schmuland (Mathematical and Statistical Sciences)
Department of Electrical and Computer Engineering

Date accepted
Graduation date
Master of Science
Degree level
Multivariate statistics play an important role in performance analysis of wireless communication systems in correlated fading channels. This thesis presents a framework which can be used to derive easily computable mathematical representations for some multivariate statistical distributions, which are derivatives of the Gaussian distribution, and which have a particular correlation structure. The new multivariate distribution representations are given as single integral solutions of familiar mathematical functions which can be evaluated using common mathematical software packages. The new approach can be used to obtain single integral representations for the multivariate probability density function, cumulative distribution function, and joint moments of some widely used statistical distributions in wireless communication theory, under an assumed correlation structure. The remarkable advantage of the new representation is that the computational burden remains at numerical evaluation of a single integral, for a distribution with an arbitrary number of dimensions. The new representations are used to evaluate the performance of diversity combining schemes and multiple input multiple output systems, operating in correlated fading channels. The new framework gives some insights into some long existing open problems in multivariate statistical distributions.
License granted by Kasun Hemachandra ( on 2010-08-25T17:40:09Z (GMT): Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of the above terms. The author reserves all other publication and other rights in association with the copyright in the thesis, and except as herein provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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