Performance analysis of decode-and-forward partial relay selection in NOMA systems with RF energy harvesting

  • Tran Manh Hoang
  • Nguyen Trung Tan
  • Nguyen Huy Hoang
  • Pham Thanh Hiep


In this paper, we investigate a dual hop communication decode-and-forward scheme relay system where a source node wants to transmit simultaneously two symbols to two desired destinations with the help of one selected energy constraint relay node. The power for operation of relay is come from the ambient radio frequency energy harvesting and the non-orthogonal multiple access technology is applied. We mathematically evaluate the impact of partial relay selection on the system performance by considering the undecodable probability of symbol for which symbols can not be decoded at the relay node or two destinations. Furthermore, the undecodable probability and the ergodic capacity are analyzed under the effect of imperfect and perfect successive interference cancellation (SIC). The results of theoretical analysis is similar to the simulation results, especially in the high region of transmit power. It verifies the correctness of mathmatical closed-form in our analysis. The results also show that the performance of the system are significantly influenced by the efficiency of SIC technology and the number of relay nodes.


NOMA Partial relay section Energy harvesting Perfect and imperfect successive interference cancellation 



The authors would like to thanks Dr. Tran Trung Duy for his comment to improve quality of this page.


  1. 1.
    Wang, Y., Ren, B., Sun, S., Kang, S., & Yue, X. (2016). Analysis of non-orthogonal multiple access for 5G. China Communications, 13(Supplement 2), 52–66.CrossRefGoogle Scholar
  2. 2.
    Dai, L., Wang, B., Yuan, Y., Han, S., Chih-Lin, I., & Wang, Z. (2015). Non-orthogonal multiple access for 5G: Solutions, challenges, opportunities, and future research trends. IEEE Communications Magazine, 53(9), 74–81.CrossRefGoogle Scholar
  3. 3.
    Luo, S., & Teh, K. C. (2017). Adaptive transmission for cooperative NOMA system with buffer-aided relaying. IEEE Communications Letters, 21(4), 937–940.CrossRefGoogle Scholar
  4. 4.
    Kader, M. F., Shahab, M. B., & Shin, S.-Y. (2017). Exploiting non-orthogonal multiple access in cooperative relay sharing”. IEEE Communications Letters, 21(5), 1159–1162.CrossRefGoogle Scholar
  5. 5.
    Du, C., Chen, X., & Lei, L. (2017). Energy-efficient optimisation for secrecy wireless information and power transfer in massive MIMO relaying systems. IET Communications, 11(1), 10–16.CrossRefGoogle Scholar
  6. 6.
    Sun, R., Wang, Y., Wang, X., & Zhang, Y. (2016). Transceiver design for cooperative non-orthogonal multiple access systems with wireless energy transfer. IET Communications, 10(15), 1947–1955.CrossRefGoogle Scholar
  7. 7.
    Han, W., Ge, J., & Men, J. (2016). Performance analysis for NOMA energy harvesting relaying networks with transmit antenna selection and maximal-ratio combining over Nakagami-m fading. IET Communications, 10(18), 2687–2693.CrossRefGoogle Scholar
  8. 8.
    Liu, Y., Ding, Z., Elkashlan, M., & Poor, H. V. (2016). Cooperative non-orthogonal multiple access with simultaneous wireless information and power transfer. IEEE Journal on Selected Areas in Communications, 34(4), 938–953.CrossRefGoogle Scholar
  9. 9.
    Zwillinger, D. (2014). Table of integrals, series, and products. Amsterdam: Elsevier.Google Scholar
  10. 10.
    Pedersen, K. I., Kolding, T. E., Seskar, I., & Holtzman, J. M. (1996). Practical implementation of successive interference cancellation in DS/CDMA systems. In IEEE international conference on universal personal communications, 1996. Record (Vol. 1, pp. 321–325). IEEEGoogle Scholar
  11. 11.
    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
  12. 12.
    Michalopoulos, D. S., Suraweera, H. A., & Schober, R. (2015). Relay selection for simultaneous information transmission and wireless energy transfer: A tradeoff perspective. IEEE Journal on Selected Areas in Communications, 33(8), 1578–1594.Google Scholar
  13. 13.
    Benjebbour, A., Saito, K., Li, A., Kishiyama, Y., & Nakamura, T.(2016). Non-orthogonal multiple access (NOMA): Concept and design. In Signal processing for 5G: Algorithms and implementations, John Wiley and Sons (Chap. 7, pp. 143–168)Google Scholar
  14. 14.
    Yang, Z., Ding, Z., Fan, P., & Al-Dhahir, N. (2017). The impact of power allocation on cooperative non-orthogonal multiple access networks with swipt. IEEE Transactions on Wireless Communications, 16(7), 4332–4343.CrossRefGoogle Scholar
  15. 15.
    Papoulis, A., & Pillai, S. U. (2002). Probability, random variables, and stochastic processes. New York City: Tata McGraw-Hill Education.Google Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Le Quy Don Technical UniversityHanoiVietnam

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