Skip to main content

Advertisement

SpringerLink
Log in

Game Theory-Based Power Allocation Strategy for NOMA in 5G Cooperative Beamforming

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

Non-orthogonal multiple access (NOMA) is a Fifth Generation (5G) technique that allows many users to simultaneously access the same time–frequency separating channels via successive interference cancellation (SIC) receiver. Cooperative NOMA (CNOMA) is an effective tool to prevent performance degradation of far users by allocating minimal power to users with good channel conditions. In this paper, we proposed a fair power and channel allocation scheme based on the Nash bargaining solution (NBS) game solution in full-duplex, cooperative beamforming (BF) for multicarrier (MC) NOMA. The proposed NBS scheme assigns optimal power and channel allocation according to channel conditions while maintaining a fair rate amongst cooperative users. NBS provides a fair and optimum approach for maximizing the total rate of CNOMA. The signal-to-leakage (SLR) ratio precoding technique is considered as a design performance criterion for beamforming vector towards achieving power domain CNOMA players. Simulation results show that at BER = \({10}^{-5}\), the NBS power allocation (proposed scheme) improved by 2 dB in terms of Signal-to-Noise Ratio (SNR), compared with the non-cooperative scheme, and 3 dB compared with the multiple-input multiple-output NOMA (MIMO-NOMA). Both improvements were as a result of interference reduction and information sharing in the network. In terms of fairness, the proposed NBS scheme shown a high level of fairness at 0.8401, compared to the other similar approaches in the literature.

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
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Ding, Z., Yang, Z., Fan, P., & Poor, H. V. (2014). On the performance of non-orthogonal multiple access in 5G systems with randomly deployed users. IEEE Signal Processing Letters, 21(12), 1501–1505.

    Article  Google Scholar 

  2. Islam, S. M. R., Avazov, N., Dobre, O. A., & Kwak, Ks. (2017). Power-domain non-orthogonal multiple access (NOMA) in 5G systems: Potentials and challenges. IEEE Commun. Surveys Tutorials, 19(2), 721–742.

    Article  Google Scholar 

  3. Su, X., Yu, H., Kim, W., Choi, C., & Choi, D. (2016). Interference cancellation for non-orthogonal multiple access used in future wireless mobile networks. EURASIP Journal on Wireless Communication Network, 2016(1), 1–2.

    Article  Google Scholar 

  4. Abbasi, O., & Ebrahimi, A. (2018). Cooperative NOMA with full-duplex amplify-and-forward relaying. Trans Emerg Telecommun Technol, 29(7), e3421.

    Article  Google Scholar 

  5. Dahi, N., & Hamdi, N. (2018). Outage performance of generalized cooperative NOMA systems with SWIPT in nakagami-m fading. Journal of Communications Software and Systems, 14(4), 386–91.

    Article  Google Scholar 

  6. Liaqat, M., Noordin, KA., Latef, TA., Dimyati K. (2018). Power-domain non orthogonal multiple access (PD-NOMA) in cooperative networks: an overview. Wireless Networks, 1–23.

  7. 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 

  8. Liu, Y., Qin, Z., Elkashlan, M., Ding, Z., Nallanathan, A., and Hanzo L. (2017). Nonorthogonal Multiple Access for 5G and Beyond. Proceedings of the IEEE. Vol. 105, Issue. 12, Dec. 2017.

  9. Saito, Y., Benjebbour, A., Kishiyama, Y., and Nakamura, T. (2013). System level performance evaluation of downlink non-orthogonal multiple access (NOMA) Under Various Environments. In Proc. IEEE Annu. Symp. Pers. Indoor Mobile Radio Commun., London, U.K., Sep. 2013, pp. 611–615.

  10. Liu, L., Yuen, C., Guan, YL., and Li, Y. (2016). Capacity-achieving iterative LMMSE detection for MIMO-NOMA systems. In Proc. IEEE Int. Conf. Commun., Kuala Lumpur, Malaysia, May 2016, pp. 1–6.

  11. Lei, L., Yuan, D., Ho, C. K., & Sun, S. (2016). Power and channel allocation for non-orthogonal multiple access in 5G systems: Tractability and computation. IEEE Transactions on Wireless Communications, 15(12), 8580–8594.

    Article  Google Scholar 

  12. Fang, F., Zhang, H., Cheng, J., & Leung, V. C. M. (2016). Energy-efficient resource allocation for downlink non-orthogonal multiple access network. IEEE Trans Commun, 64(9), 3722–3732.

    Article  Google Scholar 

  13. Di, B., Song, L., & Li, Y. (2016). Sub-channel assignment, power allocation, and user scheduling for non-orthogonal multiple access networks. IEEE Transactions on Wireless Communications, 15(11), 7686–7698.

    Article  Google Scholar 

  14. Sun, Y., Ng, D. W. K., Ding, Z., & Schober, R. (2017). Optimal joint power and subcarrier allocation for full-duplex multicarrier non-orthogonal multiple access systems. IEEE Transactions on Communications, 65(3), 1077–1091.

    Article  Google Scholar 

  15. Choi, J. (2015). Minimum power multicast beamforming with superposition coding for multiresolution broadcast and application to NOMA systems. IEEE Transactions on Communications, 63(3), 791–800.

    Article  Google Scholar 

  16. F. Alavi, K. Cumanan, Z. Ding, and A. G. Burr (2017). Robust beamforming techniques for non-orthogonal multiple access systems with bounded channel uncertainties. IEEE Commun Lett, PP(99):1–1.

  17. Alavi, F., Cumanan, K., Ding, Z., & Burr, A. G. (2018). Beamforming techniques for non-orthogonal multiple access in 5G cellular networks. IEEE Transactions on Vehicular Technology, 67(10), 9474–9487.

    Article  Google Scholar 

  18. Hanif, M. F., Ding, Z., Ratnarajah, T., & Karagiannidis, G. K. (2016). A minorization-maximization method for optimizing sum rate in the downlink of non-orthogonal multiple access systems. IEEE Transactions on Signal Processing, 64(1), 76–88.

    Article  MathSciNet  Google Scholar 

  19. Zhang, Y., & Guizani, M. (2011). Game Theory for Wireless Communications and Networking (pp. 4–20). CRC Press.

    Book  Google Scholar 

  20. A. Tarighat, M. Sadek, and A. H. Sayed (2005) A multiuser beamforming scheme for downlink MIMO channels based on maximizing signal-toleakage ratios. In Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing, vol. 3, Philadelphia, PA, 2005, pp. 1129– 1132.

  21. Fadhil, Mohammed, Abdullah, Nor Fadzilah, Ismail, Mahamod, Nordin, Rosdiadee, Ciftlikli, Cebrail, & Al-Obaidi, Musaab. (2019). Maximizing signal to leakage ratios in MIMO BCH cooperative beamforming scheme. International Journal of Electrical and Computer Engineering (IJECE), 9(5), 3701–3713.

    Article  Google Scholar 

  22. Mohammed Fadhil, Nor Fadzilah Abdullah, Mahamod Ismail, Rosdiadee Nordin, , Abduljalil Saif, Musaab Al-Obaidi, ‘’Power Allocation in Cooperative NOMA MU-MIMO Beamforming Based on Maximal SLR Precoding for 5G’’ Journal of Communications, vol. 14, no. 8, pp. 676–683, 2019.

  23. Ferdi, K., Hakan, K. (2019) “Spatial Multiple Access (SMA): Enhancing performances of MIMO-NOMA systems,” 2019 42nd International Conference on Telecommunications and Signal Processing (TSP)

  24. Kizilirmak, R., Caglar, and Khaleghi Bizaki H., (2016). Non-orthogonal multiple access (NOMA) for 5G networks." Towards 5G Wireless Networks-A Physical Layer Perspective 83.

  25. Lei, L., Yuan, D., Ho, CK, and Sun, S. (2015). Joint optimization of power and channel allocation with non-orthogonal multiple access for 5G cellular systems. in Proc. IEEE Global Telecommun. Conf. (GLOBECOM), pp. 1–6.

  26. Cho, Y. S., Kim, J., Yang, W. Y., & Kang, C. G. (2010). MIMO-OFDM wireless communications with MATLAB. Wiley.

    Book  Google Scholar 

  27. Fan, J., & Zhang, Y. (2019). Energy efficiency of massive MU-MIMO with limited antennas in downlink cellular networks. Digit Signal Process, 86, 1–10.

    Article  Google Scholar 

  28. Golub GH., and Van Loan CF., Matrix Computations. Johns Hopkins University Press Press, 3rd edition.

  29. Cheng, P., Tao, M., & Zhang, W. (2010). A new SLNR-based linear precoding for downlink multi-user multi-stream MIMO systems. IEEE Communications Letters, 14(11), 1008–1010.

    Article  Google Scholar 

  30. Wen Y., Xiaotian Z., Fang F., Haixia Z., and Dongfeng Y. (2020). Nash Bargaining Based Power Allocation and Relay Selection for Cooperative NOMA Aided Spectrum Sharing Systems. In 2020 International Conference on Computing, Networking and Communications (ICNC), pp. 1063–1068. IEEE.

  31. Xie Xianzhong., et al. (2014). Robust power allocation based on game theory for multi-user MIMO system with SLNR precoding. Vehicular Technology Conference IEEE.

  32. Baharlouei, A., & Jabbari, B. (2013). Efficient and fair power and subchannel allocation in multiuser ofdm networks. IEEE Communi. Lett, 17(10), 1905–7.

    Article  Google Scholar 

  33. A. Talukdar (2010) Mobile Computing, 2E. Tata McGraw-Hill Education.

  34. Falah, H. (2009). Ali Indu Shakya, “Collaborative spreading for the downlink of overloaded CDMA.” Wireless Communications and Mobile Computing, 10(3), 383–393.

    Google Scholar 

  35. Shutoy, Hoi Yin, Gunduz, Deniz, Erkip, Elza, & Wang, Yao. (2007). Cooperative source and channel coding for wireless multimedia communications. IEEEE Journal Of Selected Topics In Signal Processing, 1(2), 295–307.

    Article  Google Scholar 

  36. Afaq, Muhammad Performance Analysis of Selected Cooperative Relaying Techniques. Blekinge Institute of Technology, School of Engineering.

  37. 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 

  38. R. Jain, D. Chiu, and W. Hawe (1984) A quantitative measure of fairness and discrimination for resource allocation in shared computer systems, Eastern Research Lab, Digital Equipment Corporation, DEC Technical Report 301.

Download references

Author information

Authors and Affiliations

  1. Department of Electrical, Electronics & Systems Engineering, Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, UKM, 43600, Bangi, Selangor, Malaysia

    Mohammed Fadhil, Rosdiadee Nordin, Nor Fadzilah Abdullah & Mahamod Ismail

  2. Department of Aerospace Engineering, Air Force Institute of Technology, Kaduna, Nigeria

    Anabi Hilary Kelechi

Authors
  1. Mohammed Fadhil
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Anabi Hilary Kelechi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Rosdiadee Nordin
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Nor Fadzilah Abdullah
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Mahamod Ismail
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Rosdiadee Nordin.

Ethics declarations

Conflict of interest

The authors declare there is no conflict of interest in the publication. Although we do not get any funding to publish this work, we wish to express our gratitude to the management of Universiti Kebangsaan Malaysia (UKM) for their support. The raw data used in this study is generated from MATLAB simulation. However, the authors have ensured that it is represented close to the real-world environment. Unfortunately, the MATLAB code is not available for the public, but we acknowledged the references and indicated the simulation environment in this paper to develop the code. The first author was responsible for designing and developing the methodology and result, while the second author improved the Game Theory problem formulation in the paper. The third author and fourth author provided ideas, layout, improve writing and added clarity to the paper, while the final author is the principal Ph.D. supervisor to the first author that provided the path towards the publication of this work.

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

Fadhil, M., Kelechi, A.H., Nordin, R. et al. Game Theory-Based Power Allocation Strategy for NOMA in 5G Cooperative Beamforming. Wireless Pers Commun 122, 1101–1128 (2022). https://doi.org/10.1007/s11277-021-08941-y

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-021-08941-y

Keywords

Search

Navigation