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# Exact Solutions for Certain Weighted Sum-rate and Common-rate Maximization Problems

• Author / Creator
Pourtahmasi Roshandeh, Koosha
• Weighted sum-rate and common-rate optimization problems in wireless networks can be represented as the general forms of $\max\limits_{}~ \sum_{i=1}^N a_i\log_2(1+\gamma_{i})$ and $\max~ \min\limits_{i} (\gamma_{i})$, respectively, where $\gamma_i$ represents the signal to noise ratio (SNR) of user $i$ and $a_i$ is a constant weight. In general, these problems are hard to solve. In this thesis, we propose a framework for finding the optimal solution of a class of such problems. To develop this framework, we first pose the optimization problems in general forms. Subject to some conditions on the region of feasible SNRs, the optimal solutions then are analytically derived. We show that these solutions apply to several practical scenarios. In particular, we optimize two different two-way relay networks where either the relay has a large number of antennas or the users. For these systems, we derive closed-form expressions for the optimal weighted sum rate and common rate. Numerical results and simulations verify the optimality of the analytical approach.

• Subjects / Keywords
2017-11
• Type of Item
Thesis
• Degree
Master of Science
• DOI
https://doi.org/10.7939/R3B56DJ7G
This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
• Language
English
• Institution
University of Alberta
• Degree level
Master's
• Department
• Department of Electrical and Computer Engineering
• Specialization
• Communications
• Supervisor / co-supervisor and their department(s)
• Ardakani, Masoud (Electrical and Computer Engineering)
• Tellambura, Chintha (Electrical and Computer Engineering)
• Examining committee members and their departments
• Ardakani, Masoud (Electrical and Computer Engineering)
• Tellambura, Chintha (Electrical and Computer Engineering)
• Khabbazian, Majid (Electrical and Computer Engineering)
• Hao, Liang (Electrical and Computer Engineering)