Title
Two-Way Relay Beamforming Design: Proportional Fair And Max-Min Rate Fair Approaches Using Potdc
Abstract
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
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 Khabbazibasmenj118611.70
sergiy a vorobyov21563113.46