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Probabilistic and Transform Analyses of Amplify-And-Forward Wireless Relaying Open Access


Other title
Wireless Communications
Average Symbol Error Probability
Outage Probability
Probabilistic Analysis
Type of item
Degree grantor
University of Alberta
Author or creator
Soliman, Samy Soliman Shokry Botros
Supervisor and department
Beaulieu, Norman C. (Electrical and Computer Engineering)
Tsui, Ying (Electrical and Computer Engineering)
Examining committee member and department
Jing, Yindi (Electrical and Computer Engineering)
Wiens, Douglas (Mathematical ans Statistical Sciences)
Krzymien, Witold A. (Electrical and Computer Engineering)
Nguyen, Ha H. (Electrical and Computer Engineering, University of Saskatchewan)
Jiang, Hai (Electrical and Computer Engineering)
Department of Electrical and Computer Engineering
Date accepted
Graduation date
Doctor of Philosophy
Degree level
Wireless cooperative networks have recently attracted the attention of many researchers as well as industry because such networks promise large diversity gains and increased capacity compared to other wireless communication systems. Accurate performance analysis of wireless cooperative systems is now important, since it enables the design of wireless communication systems with enhanced performance. The thesis focuses on two main categories of systems: dual-hop amplify-and-forward (AF) relaying systems and multihop AF relaying systems. For dual-hop AF systems, general probabilistic analysis is developed to obtain novel, exact analytical expressions for the probability density function (PDF) and the cumulative distribution function (CDF) of the instantaneous end-to-end signal-to-noise ratio (SNR) of variable gain AF relaying systems operating over Rayleigh, Nakagami- extit{m} and Rician fading channels, as well as asymmetric systems operating over mixed Nakagami- extit{m} and Rician fading links. Performance metrics, such as the average symbol error probability, outage probability and ergodic capacity, are calculated using the derived PDF and CDF expressions. Dual-hop AF systems under adaptive power transmission are also studied and closed-form expressions for the ergodic capacity of such systems are obtained. Dual-hop AF systems with relay selection are also analyzed and various techniques of relay selection are considered. This probabilistic analysis permits the comparison of dual-hop AF systems with different relay selection criteria, and leads to the factors that should be considered in designing such systems. For multihop AF systems, the generalized transformed characteristic function (GTCF) methods are proposed. The GTCF methods are new transform methods that constitute a general framework for exact analysis of generic multihop cooperative relaying systems. This framework is valid for any modulation scheme, any fading channel distribution and any number of relays. The GTCF method is used in the thesis to obtain exact solutions for the ergodic capacity, outage probability and the average symbol error probability of multihop AF relaying systems. A strength of the GTCF approach is that it can be used with tractable computational effort. The thesis shows the cases where the strength of the GTCF method is paramount, and identifies as well the cases where the use of the GTCF method is not recommended. The thesis also studies the effects of the numbers of hops, as well as the parameters of the fading channels on the system performance in multihop AF relaying. The GTCF methods are also used to analyze multi-branch multihop AF systems, obtain exact performance metrics of such systems and study the effects of the numbers of branches as well as the numbers of relays per branch on performance metrics of these systems. Finally, dual-hop AF systems with relay selection are compared to multihop AF systems, through studying the dependence of the performance metrics on the numbers of relays and the links’ fading parameters. The purpose of this comparison is to identify the strengths and weaknesses of multihop AF configurations as opposed to relay selection in dual-hop AF configurations. As a result of this comparison, system design criteria are proposed.
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. S. Soliman and N. C. Beaulieu, “The bottleneck effect of Rician fading in dissimilar dual-hop AF relaying systems,” IEEE Trans. Veh. Technol., vol. 63, no. 4, pp. 1957–1965, May 2014.S. S. Soliman and N. C. Beaulieu, “On the exact capacity of dual-hop AF relaying with adaptive channel inversion,” in GLOBECOM Workshops (GC Wkshps), 2012 IEEE, Dec. 2012, pp. 441–446.S. S. Soliman and N. C. Beaulieu, “Exact analysis of dual-hop AF maximum end-to-end SNR relay selection,” IEEE Trans. Commun., vol. 60, no. 8, pp. 2135–2145, Aug. 2012.S. S. Soliman and N. C. Beaulieu, “Exact analytical solution for AF relaying systems with full selection diversity,” in IEEE Int. Conf. Commun., Jun. 2012, pp. 3995–4000.N. C. Beaulieu and S. S. Soliman, “Exact analysis of multihop amplify-and-forward relaying systems over general fading links,” IEEE Trans. Commun., vol. 60, no. 8, pp. 2123–2134, Aug. 2012.S. S. Soliman and N. C. Beaulieu, “The modified GTCF method and its application to multi-branch multihop relaying systems with full selection diversity,” in 6th Joint IFIP Wireless and Mobile Networking Conf. (WMNC), 2013, Apr. 2013, pp. 1–6.S. S. Soliman and N. C. Beaulieu, “Dual-hop Vs multihop AF relaying systems,” in IEEE Global Telecommun. Conf., Dec. 2013, pp. 4299–4305.

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