Wireless Personal Communications

, Volume 97, Issue 3, pp 4229–4249 | Cite as

Wireless Information and Power Transfer in Kth Best Relay Selection Systems with Energy Beamforming over Nakagami-m Fading Channels

  • Van Phu TuanEmail author
  • Hyung Yun Kong


In this paper, we propose and analyze an amplify-and-forward relaying energy harvesting system with Kth best partial relay selection and energy beamforming over Nakagami-m fading channels. The Kth best relay is selected based on criteria such as the Kth best first-hop channel gains (KBFC scheme) and the Kth best second-hop channel gains (KBSC scheme). Both the time-switching relaying and power-splitting relaying protocols are examined. To evaluate the system performance, we derive analytical expressions for the outage probability and throughput in both the delay-limited transmission (DLT) and delay-tolerant transmission (DTT) modes. Then the optimal values of these throughput are determined. The DLT mode is considered in two optimal cases: global-optimal DLT (GODLT), where an optimal pair of the source rate and energy-harvesting ratio is employed, and local-optimal DLT (LODLT), where only optimal energy-harvesting ratio is used. Monte Carlo simulations are presented to corroborate our analysis. The results in terms of throughput show the following. (1) For the LODLT mode, at relatively low SNRs, the KBSC scheme outperforms the KBFC scheme except for \(K=1\). (2) For the DTT and GODLT modes, the KBSC scheme is more efficient than the KBFC scheme at high values of K. (3) When the signal quality increases, the throughput for the DTT and GODLT modes is significantly enhanced, whereas that for the LODLT mode reaches an upper limit.


Energy harvesting Relay selection Amplify-and-forward Energy beamforming Nakagami-m fading 



This work was supported by the 2017 Research Fund of University of Ulsan.


  1. 1.
    Nasir, A., Zhou, X., Durrani, S., & Kennedy, R. (2015). Wireless-powered relays in cooperative communications: Time-switching relaying protocols and throughput analysis. EEE Transactions on Communications, 63(5), 1607–1622.CrossRefGoogle Scholar
  2. 2.
    Zhang, R., & Ho, C. K. (2013). MIMO broadcasting for simultaneous wireless information and power transfer. IEEE Transactions on Wireless Communications, 12(13), 1989–2001.CrossRefGoogle Scholar
  3. 3.
    Lu, X., Wang, P., Niyato, D., Kim, D. I., & Han, Z. (2015). Wireless networks with RF energy harvesting: A contemporary survey. IEEE Communications Surveys and Tutorials, 17(2), 757–789.CrossRefGoogle Scholar
  4. 4.
    Gu, Y., & Aïssa, S. (2015). RF-based energy harvesting in decode-and-forward relaying systems: Ergodic and outage capacities. IEEE Transactions on Wireless Communications, 14(11), 6425–6434.CrossRefGoogle Scholar
  5. 5.
    Zhong, C., Suraweera, H., Zheng, G., Krikidis, I., & Zhang, Z. (2014). Wireless information and power transfer with full duplex relaying. IEEE Transactions on Communications, 62(10), 3447–3461.CrossRefGoogle Scholar
  6. 6.
    Zhou, X., Zhang, R., & Ho, C. K. (2013). Wireless information and power transfer: Architecture design and rateenergy tradeoff. IEEE Transactions on Communications, 61(11), 4754–4767.CrossRefGoogle Scholar
  7. 7.
    Zhu, G., Zhong, C., Suraweera, H., Karagiannidis, G., Zhang, Z., & Tsiftsis, T. (2015). Wireless information and power transfer in relay systems with multiple antennas and interference. IEEE Transactions on Communications, 63(4), 1400–1418.CrossRefGoogle Scholar
  8. 8.
    Xing, H., Wong, K. K., Nallanathan, A., & Zhang, R. (2016). Wireless powered cooperative jamming for secrecy multi-AF relaying networks. IEEE Transactions on Wireless Communications, 15(12), 7971–7984.CrossRefGoogle Scholar
  9. 9.
    Duy, T. T., Duong, T., da Costa, D. B., Bao, V. N. Q., & Elkashlan, M. (2015). Proactive relay selection with joint impact of hardware impairment and co-channel interference. IEEE Transactions on Communications, 63(5), 1594–1606.CrossRefGoogle Scholar
  10. 10.
    Krikidis, I., Thompson, J., Mclaughlin, S., & Goertz, N. (2008). Amplify-and-forward with partial relay selection. IEEE Communications Letters, 12(4), 235–237.CrossRefGoogle Scholar
  11. 11.
    Son, P. N., & Kong, H. Y. (2015). Energy-harvesting relay selection schemes for decode-and-forward dual-hop networks. EICE Transactions on Communications, E98–B(12), 2485–2495.CrossRefGoogle Scholar
  12. 12.
    Chong, E. K. P., & Zak, S. H. (2004). An introduction to optimization (2nd ed.). Hoboken: Wiley.zbMATHGoogle Scholar
  13. 13.
    Gradshteyn, I., & Ryzhik, I. M. (2007). Table of integrals, series, and products (7th ed.). Cambridge: Academic Press.zbMATHGoogle Scholar
  14. 14.
    Chauhan, S. S., & Kumar, S. (2015). Adaptive-transmission channel capacity of maximal-ratio combining with antenna selection in Nakagami-\(m\) fading channels. Wireless Personal Communications, 85(4), 2233–2243.CrossRefGoogle Scholar
  15. 15.
    Nasir, A., Zhou, X., Durrani, S., & Kennedy, R. (2013). Relaying protocols for wireless energy harvesting and information processing. IEEE Transactions on Wireless Communications, 12(7), 3622–3636.CrossRefGoogle Scholar
  16. 16.
    Aloqlah, M. S. (2015). Performance analysis of dual-hop fixed-gain relay systems over extended generalized-K fading channels. Wireless Personal Communications, 83(1), 619–630.CrossRefGoogle Scholar
  17. 17.
    Olfat, E., & Olfat, A. (2014). Outage performance of hybrid decode–amplify–forward protocol with the nth best relay selection. Wireless Personal Communications, 78(2), 1403–1412.CrossRefGoogle Scholar
  18. 18.
    Olver, F. W. J., Lozier, D. W., Boisvert, R. F., & Clark, C. W. (2010). NIST handbook of mathematical functions. Cambridge: Cambridge University Press.zbMATHGoogle Scholar
  19. 19.
    Zhu, G., Zhong, C., Suraweera, H. A., Zhang, Z., Yuen, C., & Yin, R. (2014). Ergodic capacity comparison of different relay precoding schemes in dual-hop AF systems with co-channel interferer. IEEE Transactions on Communications, 62(7), 23142328.Google Scholar
  20. 20.

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© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.Department of Electrical EngineeringUniversity of UlsanUlsanKorea

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