Browse > Article
http://dx.doi.org/10.1109/JCN.2016.000086

Energy-Efficient Resource Allocation in Multi-User AF Two-Way Relay Channels  

Kim, Seongjin (Defense Agency for Technology and Quality)
Yu, Heejung (Department of Information and Communication Engineering, Yeungnam University)
Publication Information
Journal of Communications and Networks / v.18, no.4, 2016 , pp. 629-638 More about this Journal
Abstract
In this paper, we investigate an energy-efficient resource allocation problem in a two-way relay (TWR) network consisting of multiple user pairs and an amplify-and-forward (AF) relay. As the users and relay have individual energy efficiencies (EE), we formulate a multi-objective optimization problem (MOOP). A single-objective optimization problem (SOOP) of the MOOP is introduced using a weighted-sum method, which achieves a single Pareto optimal point of the MOOP. To derive the algorithm for the SOOP, we propose a more tractable equivalent problem using the Karush-Kuhn-Tucker conditions of the SOOP, which guarantees convergence at the local optimal points. The proposed equivalent problem can be efficiently solved by the proposed iterative algorithm. Numerical results demonstrate the effectiveness of the proposed algorithm in achieving the optimal EE in multi-user AF TWR networks.
Keywords
Energy efficiency (EE); Karush-Kuhn-Tucker (KKT) conditions; optimization; spectral efficiency; two-way relay (TWR);
Citations & Related Records
연도 인용수 순위
  • Reference
1 Y. Jong, (2012, May) An efficient global optimization algorithm for nonlinear sum-of-ratios problems. [Online]. Available: http: //www.optimization-online.org
2 S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge University Press, 2004.
3 D. Feng et al., "A survey of energy-efficient wireless communications," IEEE Communs. Surveys Tuts., vol. 15, no. 1, pp. 167-178, Feb. 2013.   DOI
4 H. Yu, Y. Li, X. Zhong, L.Wang, and J.Wang, "The analysis of the energy efficiency for the decode-and-forward two-way relay networks," in Proc. IEEE WCNC, Apr. 2013, pp. 2823-2837.
5 G. A. S. Sidhu, F. Gao, W. Chen, and A. Nallanathan, "A joint resource allocation scheme for multiuser two-way relay networks," IEEE Trans. Commun., vol. 59, no. 11, pp. 2970-2975, Nov. 2011.   DOI
6 B. Rankov and A. Wittneben, "Spectral efficient protocols for half-dulpex fading relay channels," IEEE J. Sel. Areas Commun., vol. 25, no. 2, pp. 379-389, Feb. 2007.   DOI
7 M. Zhou, Q. Chui, R. Jantti, and X. Tao, "Energy-efficient relay selection and power allocation for two-way relay channel with analog network coding," IEEE Commun. Lett., vol. 16, no. 6, pp. 816-819, June 2012.   DOI
8 Q. Li, Y. Liu, X. Zhang, and W. U. Rehman, "Tradeoff between energy efficiency and spectral efficiency in two-way relay network," in Proc. IEEE ICCT, Nov. 2012, pp. 929-934.
9 L. Fang, J. Xu, and L. Qiu, "Energy efficiency optimization for twoway relay channels," in Proc. IEEE ICC Workshop, E2NET, June 2013, pp. 425-430.
10 C. K. Ho, R. Zhang, and Y.-C. Liang, "Two-way relaying over OFDM: Optimized tone permutation and power allocation," in Proc. IEEE ICC, May 2008, pp. 3908-3912.
11 S. He, Y. Huang, L. Yang, and B. Ottersten, "Coordinated multi-cell multiuser precoding for maximizing weighted sum energy efficiency," IEEE Trans. Signal Process., vol. 62, no. 3, pp. 741-751, Feb. 2014.   DOI
12 C. Sun, Y. Cen, and C. Yang, "Energy efficient OFDM relay systems," IEEE Trans. Commun., vol. 61, no. 5, pp. 1797-1809, May 2013.   DOI
13 S. Kim and Y. H. Lee, "Energy-efficient power allocation for OFDM signaling over a two-way AF Relay," IEEE Trans. Veh. Technol., vol. 64, no. 10, pp. 4856-4863, Oct. 2015.   DOI
14 Y. Li, X. Zhang, M. Peng, and W. Wang, "Power provisioning and relay positioning for two-way relay channel with analog network coding," IEEE Signal Process. Lett., vol. 8, no. 9, pp. 517-520, Sept. 2011.
15 H. Kim, N. Lee, and J. Kang, "Energy efficient two-way AF relay system with multiple-antennas," in Proc. IEEE VTC Fall, Sept. 2011, pp. 1-5.
16 W. Dinkelbach, "On nonlinear fractional programming," Management Science, vol. 13, no. 3, pp. 492-498, Mar. 1967.   DOI
17 C. Sun and C. Yang, "Energy-efficiency Hybrid one- and two-way relay transmission," IEEE Trans. Veh. Technol., vol. 62, no. 8, pp. 3737-3757, Oct. 2013.   DOI
18 Y. Deng et al., "Full-duplex spectrum sharing in cooperative single carrier systems," in Proc. IEEE WCNC, Mar. 2015, pp. 25-30.
19 E. Bjornson, L. Sanguinetti, J. Hoydis, and M. Debbah, "Optimal design of energy-efficient multi-user MIMO systems: Is massive MIMO the answer?" IEEE Trans. Wireless Comm., vol. 14, no. 6, pp. 3059-3075, June 2015.   DOI
20 R. T. Marler and J. S. Arora, "Survey of multi-objective optimization methods for engineering," Struct. Multidiscipl. Optim., vol. 26, no. 6, pp. 369-395, Apr. 2004.   DOI