Optimal Power Management to Minimize SER in Amplify and-Forward Relay Networks

Document Type : Research Article

Authors

Electrical Engineering Department, Amirkabir University of Technology, Tehran, Iran

Abstract

This paper studies optimal power allocation to minimize symbol error rate (SER) of amplify-and-forward cooperative diversity networks. First, we analytically solve optimal power allocation problem to minimize SER for three different scenarios, namely, multi-branch single-relay, single-branch multi-relay and multi-branch multi-relay cooperative diversity networks, all subject to a given total relay power consumption. In addition to the total relay power constraint, for the multi-branch single-relay scenario. Next, we assume that every single relay is subject to a maximum power constraint. To this end, we present an iterative algorithm to find the optimal power rates. Finally, we study an off-line scenario in which the relays are energy harvester and equipped with infinite-sized batteries. For this scenario, the maximum SER is minimized over the whole harvesting time slots. We propose a water filling algorithm for the classical relay channel and an iterative algorithm for the multi-branch single-relay cooperative scheme. Through the numerical results, it is shown that optimal power allocation policies enhance the system performance.

Keywords

Main Subjects


[1]A. Sendonaris, E. Erkip, and B. Aazhang, User cooperation diversity. part i. system description, IEEE Transactions on Communications, 51 (2003) 1927-1938.
[2]J. N. Laneman, D. N. Tse, and G. W. Wornell, Cooperative diversity in wireless networks: Efficient protocols and outage behavior, IEEE Transactions on Information Theory, 50 (2004) 3062-3080.
[3]E. Hossain, V. K. Bhargava, and G. P. Fettweis, Green radio communication networks, Cambridge University Press, (2012).
[4]A. Host-Madsen and J. Zhang, Capacity bounds and power allocation for wireless relay channels, IEEE Transactions on Information Theory, 51 (2005) 2020- 2040.
[5]A. Reznik, S. R. Kulkarni, and S. Verd´u, Degraded Gaussian multi-relay channel: capacity and optimal power allocation, IEEE Transactions on Information Theory, 50 (2004) 3037-3046.
[6]M. J. Emadi, A. G. Davoodi, and M. R. Aref, Analytical power allocation for a full-duplex decode and-forward relay channel, IET Communications, 7 (2013) 1338- 1347.
[7]X. J. Zhang and Y. Gong, Joint power allocation and relay positioning in multi-relay cooperative systems, IET communications, 3 (2009) 1683-1692.
[8]M. Mohammadi, M. Ardebilipour, Z. Mobini, and R.-A. S. Zadeh, Performance analysis and power allocation for multi-hop multi-branch amplify-and-forward cooperative networks over generalized fading channels, EURASIP Journal on Wireless Communications and Networking, 1 (2013) 1-13.
[9]W.-J. Huang, Y.-W. P. Hong, and C.-C. J. Kuo, Lifetime maximization for amplify-and-forward cooperative networks, IEEE Transactions on Wireless Communications, 7 (2008) 1800-1805.
[10] Y. Chen and Q. Zhao, Maximizing the lifetime of sensor network using local information on channel state and residual energy, in Proceedings of the conference on information science and systems (CISS), 23 (2005).
[11] S. E. Abdellaoui, M. Debbah, Y. Fakhri, and D. Aboutajdine, Increasing network lifetime in an energy– constrained wireless sensor network, International Journal of Sensor Networks, 13 (2013) 44-56.
[12] S. Gupta and R. Bose, Energy-efficient joint routing and power allocation optimization in bit error rate constrained multi-hop wireless networks, IET Communications, 9 (2015) 1174–1181.
[13] A. Ribeiro, X. Cai, and G. B. Giannakis, Symbolerror probabilities for general cooperative links, IEEE Transactions on Wireless Communications, 4 (2005) 1264-1273.
[14] B. Maham, A. Hjørungnes, and M. Debbah, Power allocations in minimum-energy ser-constrained cooperative networks, Annals of Telecommunicationsannales Des T´el´ecommunications, 64 (2009) 545-555.
[15] M. Abedi and M. J. Emadi, Symbol error rate analysis in cooperative transmission: AF relaying scenarios and optimal power allocations, in Electrical Engineering (ICEE), 2016 24th Iranian Conference on, (2016) 161- 166.
[16] S. Gupta and R. Bose, Energy-aware relay selection and power allocation for multiple-user cooperative networks, arXiv preprint arXiv:1606.02213, (2016).
[17] H. Y. Lateef, V. Dyo, and B. Allen, Performance analysis of opportunistic relaying and opportunistic hybrid incremental relaying over fading channels, IET Communications, 9 (2015) 1154-1163.
[18] N. Hussain, K. Ziri-Castro, D. Jayalath, and M. Arafah, Decode-to-cooperate: a sequential Alamouticoded cooperation strategy in dual-hop wireless relay networks, Telecommunication Systems, 64 (2017) 355-366.
[19] M. I. Khalil, S. M. Berber, and K. W. Sowerby, Bit error rate performance analysis in amplify-and-forward relay networks, Wireless Networks, 23 (2017) 947-957.
[20] S. Ulukus, A. Yener, E. Erkip, O. Simeone, M. Zorzi, P. Grover, and K. Huang, Energy harvesting wireless communications: A review of recent advances, IEEE Journal on Selected Areas in Communications, 33 (2015) 360–381.
[21] K. Tutuncuoglu and A. Yener, Optimum transmission policies for battery limited energy harvesting nodes, IEEE Transactions on Wireless Communications, 11 (2012) 1180–1189.
[22] P. Liu, S. Gazor, I.-M. Kim, and D. I. Kim, Noncoherent relaying in energy harvesting communication systems, IEEE Transactions on Wireless Communications, 14 (2015) 6940-6954.
[23] Y. Feng, Z. Yang, W.-P. Zhu, Q. Li, and B. Lv, Robust cooperative secure beamforming for simultaneous wireless information and power transfer in amplify-andforward relay networks, IEEE Transactions on Vehicular Technology, 66 (2017) 2354–2366.
[24]X. Wang, J. Liu, C. Zhai, S. Ma, and Q. Wang, Energy efficient relay networks with wireless power transfer from a multi-antenna base station, Transactions on Emerging Telecommunications Technologies, (2015).
[25]A. Arafa and S. Ulukus, Optimal policies for wireless networks with energy harvesting transmitters and receivers: Effects of decoding costs, IEEE Journal on Selected Areas in Communications, 33 (2015) 2611- 2625.
[26]M. Abedi; M. J. Emadi, B. Shahrasbi, Optimal energy management for energy harvesting transmitter and receiver with helper, Information Theory and Its Applications (ISITA), 2016 International Symposium on, (2016) 562-566.
[27]S. Boyd and L. Vandenberghe, Convex optimization, Cambridge university press, (2004).