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Improved Mathematical Models for Fading and Shadowing in Wireless Channels Open Access


Other title
Two-wave with diffuse power fading
Lognormal characteristic function
Diffuse Nakagami-m with line-of-sight fading
Multipath Fading
Type of item
Degree grantor
University of Alberta
Author or creator
Saberali, Seyed Ali
Supervisor and department
Tsui, Ying (Electrical and Computer Engineering)
Examining committee member and department
Jing, Yindi (Electrical and Computer Engineering)
Cockburn, Bruce (Electrical and Computer Engineering)
Schmuland, Byron (Mathematical and Statistical Sciences)
Department of Electrical and Computer Engineering
Date accepted
Graduation date
Master of Science
Degree level
Signal shadowing and multipath fading are two challenging phenomena in wireless communications. The goal of this thesis is to improve the statistical models and the mathematical tools required for description and analysis of some specific fading scenarios, namely lognormal shadowing, two-wave with diffuse power fading and diffuse Nakagami-m with line-of-sight fading. For lognormal shadowing, a novel method is proposed to derive approximations to the lognormal characteristic function. For two-wave with diffuse power fading, new expressions are derived for its probability density function, cumulative distribution function and moments. Finally, a novel fading model is introduced which combines a line-of-sight with a Nakagami-m diffuse scatter. The new fading model is justified and expressions are derived for its statistics. The new fading distribution is compared to the Rice, Nakagami-m and two-wave with diffuse power distributions. Application of the results in performance analysis of wireless systems operating in Nakagami-m with line-of-sight fading is investigated.
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 these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before 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.
Citation for previous publication
S. A. Saberali and N. C. Beaulieu, “New approximations to the lognormal characteristic function,” in proceedings of IEEE GC’ 12, pp. 2168-2172, Dec. 2012. Digital Object Identifier: 10.1109/GLOCOM.2012.6503436S. A. Saberali and N. C. Beaulieu, “New expressions for TWDP fading statistics,” IEEE Wireless Commun. Lett., available in IEEE early access articles, Sep. 2013. Digital Object Identifier: 10.1109/WCL.2013.090313.130541

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