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Maximizing Transmission Rates for Pairwise Multiway Relay Channel Open Access


Other title
common rate
pairwise relaying
sum rate
Multi-way relay channel
Type of item
Degree grantor
University of Alberta
Author or creator
Rafie Borujeny, Reza
Supervisor and department
Ardakani, Masoud (Electrical and Computer Engineering)
Examining committee member and department
Khabbazian, Majid (Electrical and Computer Engineering)
Ardakani, Masoud (Electrical and Computer Engineering)
Jing, Yindi (Electrical and Computer Engineering)
Department of Electrical and Computer Engineering
Date accepted
Graduation date
Master of Science
Degree level
In this dissertation, we study the effect of users' transmission ordering on the common rate and sum rate of pairwise multiway relay channels (MWRCs). As an extension for two-way relay channel (TWRC), MWRC has been proposed to improve the spectral efficiency in wireless networks. In a pairwise scheme, a set of pairs, known as ordering, is defined that represents the users' transmission schedule. Each pair of users form a TWRC and simultaneously send their data to the relay in an uplink phase. There are different strategies for the relay to form the downlink message. We consider decode-and-forward and functional-decode-forward relaying strategies for our study. We find the ordering that achieves the maximum efficiency of the pairwise MWRC. To find transmission orderings that maximize the common rate and sum rate of the system, we first develop a graphical model for the data transmission in a pairwise MWRC. Using the proposed graphical model, we, then, find the necessary and sufficient conditions for an ordering to be feasible (i.e., allows for successful decoding). Using this model, we finally find the optimal orderings that achieve the maximum common rate and sum rate of the system, respectively. Closed form expressions for the maximum achievable common rate and sum rate are also found. Computer simulations are presented for better illustration and comparison between the rate metrics of the proposed optimal orderings and random orderings.
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
R. Rafie Borujeny, M. Noori and M. Ardakani, β€œOn the Achievable Rates of Pairwise Multiway Relay Channels,” in 2014 IEEE International Symposium on Information Theory (ISIT'2014), pp. 2714-2718, June 2014.

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