Title | ||
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Two-Way Relay Beamforming Design: Proportional Fair And Max-Min Rate Fair Approaches Using Potdc |
Abstract | ||
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The challenge in designing relay beamforming in two-way relaying systems is the non-convex nature of the corresponding optimization problem. In this work, we concentrate on the mathematical issues of such design for the cases when the max-min rate and proportional fairness are used as the design criteria. We show that the corresponding optimization problems belong to the class of difference-of-convex functions (DC) programming problems. Due to the specific structure of the corresponding DC problems, they can be efficiently addressed by using the polynomial-time DC (POTDC) algorithm which guarantees to find the Karush-Kuhn-Tucker (KKT) optimal point in polynomial-time. We have also shown earlier that the question of global optimality of the POTDC algorithm boils down to a simple numerical convexity check for a certain one-dimensional optimal value function. |
Year | DOI | Venue |
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2013 | 10.1109/ICASSP.2013.6638612 | 2013 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP) |
Keywords | Field | DocType |
Difference-of-convex functions optimization, Max-min rate fairness, Proportional fairness, Two-way relaying | Beamforming,Mathematical optimization,Convexity,Computer science,Bellman equation,Karush–Kuhn–Tucker conditions,Convex optimization,Optimization problem,Relay,Proportionally fair | Conference |
ISSN | Citations | PageRank |
1520-6149 | 1 | 0.36 |
References | Authors | |
15 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Arash Khabbazibasmenj | 1 | 186 | 11.70 |
sergiy a vorobyov | 2 | 1563 | 113.46 |