Skip to main content

Advertisement

SpringerLink
Log in

Ergodic Capacity Analysis of Uplink Cooperative NOMA Network Based on Statistical Channel State Information

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

Non-orthogonal multiple access (NOMA) is a promising radio access technique for the fifth generation cellular networks as it offers a set of desirable benefits, such as greater spectrum efficiency compared to well-known orthogonal multiple access techniques. This paper primarily focuses on power-domain uplink NOMA which implements superposition coding at the transmitting nodes and successive interference cancellation at the receiving nodes. Specifically, in this paper we investigate the scenario of three users communicate with the base station simultaneously with the helping from a half-duplex and decode-and-forward relay under frequency selective multipath fading channels. In all existing publications on this topic, the power allocation at the transmitting nodes is decided based on the perfect channel state information (CSI) whereas in our work it’s decided based on statistical CSI. Under Rayleigh fading channels, we derive the exact and upper bound of the ergodic rates and show the boundary of the achievable ergodic rate regions for the transmitted symbols at the relay and base station. We also investigate the effect of relay location on the overall system performance and the importance of carefully choosing the power allocation factors. Simulation results show that the proper selection of the power allocation factors, and the relay location play jointly a decisive role regarding the performance of uplink NOMA. Moreover, NOMA always perform better than orthogonal multiple access.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

Data Availability

No datasets were generated or analyzed during this study.

Notes

  1. Note that we can’t set \(\alpha\) = 0.5 because, in power domain NOMA, there must be a power difference between the transmitted symbols so the receiving node can distinguish between them.

References

  1. Tabassum, H., Ali, M., Hossain, E., Hossain, M., & Kim, D. (2016). Non-orthogonal multiple access (NOMA) in cellular uplink and downlink: Challenges and enabling techniques. arXiv:1608.05783.

  2. Dai, L., Wang, B., Ding, Z., Wang, Z., Chen, S., & Hanzo, L. (2018). A survey of non-orthogonal multiple access for 5G. IEEE Communications Surveys & Tutorials, 20(3), 2294–2323.

    Article  Google Scholar 

  3. Men, J., & Ge, J. (2015). Performance analysis of non-orthogonal multiple access in downlink cooperative network. IET Communications, 9(18), 2267–2273.

    Article  Google Scholar 

  4. Al-Dulaimi, A., Wang, X., & Chih-Lin, I. (2018). 5G networks: Fundamental requirements, enabling technologies, and operations management. Wiley.

    Google Scholar 

  5. DOCOMO 5G white paper, 5G radio access: Requirements, concept and technologies. NTT DOCOMO, INC., Tokyo, Japan, Tech. Rep., (2014).

  6. Saito, Y., Benjebbour, A., Kishiyama, Y., & Nakamura, T. (2013). System level performance evaluation of downlink non-orthogonal multiple access (NOMA). In IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications, pp. 611–615.

  7. Hoshyar, R., Wathan, F., & Tafazolli, R. (2008). Novel low-density signature for synchronous CDMA systems over AWGN channel. IEEE Transaction on Signal Processing, 56(4), 1616–1626.

    Article  MathSciNet  Google Scholar 

  8. Zhang, S., Xu , X., Lu, L., Wu, Y., He, G., & Chen, Y. (2014). Sparse code multiple access: An energy efficient uplink approach for 5G wireless systems. In IEEE Global Communications Conference, pp. 4782–4787.

  9. Yue, X., Liu, Y., Kang, S., & Nallanathan, A. (2017). Performance analysis of NOMA with fixed gain relaying over Nakagami-\(m\) fading channels. IEEE Access, 3(5), 5445–5454.

    Article  Google Scholar 

  10. Endo, Y., Kishiyama, Y., & Higuchi, K. (2012). Uplink non-orthogonal access with MMSE-SIC in the presence of inter-cell interference. In IEEE International Symposium on Wireless Communication Systems, 261–265.

  11. Liu, Y., Qin, Z., Elkashlan, M., Ding, Z., Nallanathan, A., & Hanzo, L. (2017). Nonorthogonal multiple access for 5G and beyond. Proceedings of the IEEE, 105(12), 2347–2381.

    Article  Google Scholar 

  12. Higuchi, K., & Benjebbour, A. (2015). Non-orthogonal multiple access (NOMA) with successive interference cancellation for future radio access. IEICE Transactions on Communications, 98(3), 403–414.

    Article  Google Scholar 

  13. Khan, W., Jameel, F., Ristaniemi, T., Elhalawany, B., & Liu, J. (2019). Efficient power allocation for multi-cell uplink NOMA network. In IEEE 89th Vehicular Technology Conference, 1–5.

  14. Sedtheetorn, P., & Panyim, K. (2016). Accurate uplink spectral efficiency for non orthogonal multiple access in nakagami fading. In IEEE 13th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, 1–4.

  15. Zhang, Z., Sun, H., & Hu, R. (2017). Downlink and uplink non-orthogonal multiple access in a dense wireless network. IEEE Journal on Selected Areas in Communications, 35(12), 2771–2784.

    Article  Google Scholar 

  16. Liu, Y., Derakhshani, M., & Lambotharan, S. (2017). Outage analysis and power allocation in uplink non-orthogonal multiple access systems. IEEE Communications Letters, 22(2), 336–339.

    Article  Google Scholar 

  17. Yang, Z., Ding, Z., Fan, P., & Al-Dhahir, N. (2016). A general power allocation scheme to guarantee quality of service in downlink and uplink NOMA systems. IEEE Transactions on Wireless Communications, 15(11), 7244–7257.

    Article  Google Scholar 

  18. Gao, Y., Xia, B., Xiao, K., Chen, Z., Li, X., & Zhang, S. (2017). Theoretical analysis of the dynamic decode ordering SIC receiver for uplink NOMA systems. IEEE Communications Letters, 21(10), 2246–2249.

    Article  Google Scholar 

  19. Laneman, J., Tse, D., & Wornell, G. (2004). Cooperative diversity in wireless networks: Efficient protocols and outage behavior. IEEE Transactions on Information Theory, 50(12), 3062–3080.

    Article  MathSciNet  Google Scholar 

  20. Kim, J., & Lee, I. (2015). Capacity analysis of cooperative relaying systems using non-orthogonal multiple access. IEEE Communications Letters, 9(11), 1949–1952.

    Article  Google Scholar 

  21. Jiao, R., Dai, L., Zhang, J., MacKenzie, R., & Hao, M. (2017). On the performance of NOMA-based cooperative relaying systems over Rician fading channels. IEEE Transactions on Vehicular Technology, 66(12), 11409–11413.

    Article  Google Scholar 

  22. Wei, Z., Dai, L., Ng, D., & Yuan, J. (2017). Performance analysis of a hybrid downlink-uplink cooperative NOMA scheme. In IEEE 85th Vehicular Technology Conference, 1–7.

  23. Haghighi, A., & Navaie, K. (2012). Cooperative multiple relay system for frequency selective environment: Outage analysis and power allocation. Wireless Communications and Mobile Computing, 12(2), 184–194.

    Article  Google Scholar 

  24. Abdel-Razeq, S., Zhou, S., Bansal, R., & Zhao, M. (2018). Uplink NOMA transmissions in a cooperative relay network based on statistical channel state information. IET Communications, 13(4), 371–378.

    Article  Google Scholar 

  25. Abdel-Razeq, S., Zhou, S., Wang, Z., & Zhao, M. (2019). Superposition coded OFDM transmissions in a downlink cooperative relay network based on statistical channel state information. IET Communications, 13(6), 718–726.

    Article  Google Scholar 

  26. Ye, N., Han, H., Zhao, L., & Wang, A. (2018). Uplink nonorthogonal multiple access technologies toward 5G: A survey (p. 6187580). Article ID: Wireless Communications and Mobile Computing.

  27. Boostanimehr, H., & Bhargava, V. (2012). Outage capacity analysis for OFDM decode-and-forward systems in frequency selective Rayleigh fading channels. IEEE Communications Letters, 16(6), 937–940.

    Article  Google Scholar 

  28. Goldsmith, A. (2005). Wireless communications. Cambridge University Press.

    Book  Google Scholar 

  29. Abramowitz, M., & Stegun, I. (1964). Handbook of mathematical functions: With formulas, graphs, and mathematical tables. Courier Corporation.

    MATH  Google Scholar 

  30. Zhong, C., & Zhang, Z. (2016). Non-orthogonal multiple access with cooperative full-duplex relaying. IEEE Communications Letters, 20(12), 2478–2481.

    Article  Google Scholar 

  31. Kim, J., & Lee, I. (2015). Non-orthogonal multiple access in coordinated direct and relay transmission. IEEE Communications Letters, 19(11), 2037–2040.

    Article  Google Scholar 

  32. Tse, D., & Viswanath, P. (2005). Fundamentals of wireless communication. Cambridge University Press.

    Book  Google Scholar 

  33. Liu, Y., Pan, G., Zhang, H., & Song, M. (2016). On the capacity comparison between MIMO-NOMA and MIMO-OMA. IEEE Access, 5(4), 2123–2129.

    Article  Google Scholar 

Download references

Funding

No funding was received.

Author information

Authors and Affiliations

  1. Telecommunications Engineering Department, Hijjawi Faculty for Engineering Technology, Yarmouk University, Irbid, 21163, Jordan

    Sharief Abdel-Razeq

Authors
  1. Sharief Abdel-Razeq
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sharief Abdel-Razeq.

Ethics declarations

Conflict of interest

The authors have no conflicts of interest or competing interests to declare.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Abdel-Razeq, S. Ergodic Capacity Analysis of Uplink Cooperative NOMA Network Based on Statistical Channel State Information. Wireless Pers Commun 125, 737–753 (2022). https://doi.org/10.1007/s11277-022-09575-4

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-022-09575-4

Keywords

Search

Navigation