Skip to main content

Advertisement

Log in

PSO based power allocation in multiuser hybrid beamforming mmWave NOMA

  • Original Paper
  • Published:
Wireless Networks Aims and scope Submit manuscript

Abstract

Non-Orthogonal Multiple Access (NOMA) is one of the blooming technologies in 5G and beyond wireless networks to support a massive number of users with a huge data rate. In this work, we investigate a multiuser hybrid beamforming millimeter wave (mmWave) downlink NOMA system. Wideband mmWave line of sight (LOS) channel and non-line of sight (NLOS) channels are considered in this study. The first step of the multiuser power allocation problem is user clustering, where users are clustered based on their channel correlation and difference. Subsequently, low complex analog beamforming design and zero forcing digital beamforming design are employed. Finally, we formulate users’ power allocation problem with the objectives of spectral efficiency maximization / energy efficiency maximization based on the constraints of users’ quality of service requirements (QoS) and total available power. Existing research solves the non-convex problem by assuming equal power to all the clusters. Then the problem is decomposed into sub-problems and independently solved for each cluster, which increases the complexity. But, we propose a particle swarm optimization (PSO) based single step low complex algorithm, which achieves a faster convergence rate and grants consistent results. Moreover, the simulation results show that our proposed approach outperforms existing sub-optimal method and the conventional zero forcing time division multiple access scheme (ZF-TDMA).

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

Availability of data and materials

Data sharing is not applicable to this article as no datasets were generated or analysed during the current study.

Notes

  1. Analysis of complexity level of the proposed approach with respect to the benchmark scheme is presented in Sect. 4.4.

  2. Complexity level analysis is presented in section 4.4.

References

  1. Liu, Y., Zhang, S., Mu, X., Ding, Z., Schober, R., Al-Dhahir, N., Hossain, E., & Shen, X. (2022). Evolution of NOMA toward next generation multiple access (NGMA) for 6G. IEEE Journal on Selected Areas in Communications, 40(4), 1037–1071. https://doi.org/10.1109/JSAC.2022.3145234

    Article  Google Scholar 

  2. Benjebbour,A., & Kishiyama,Y., (2018). Combination of NOMA and MIMO: Concept and experimental trials. In 2018 25th International Conference on Telecommunications (ICT), pp. 433–438 https://doi.org/10.1109/ICT.2018.8464916.

  3. Ding, Z., Lei, X., Karagiannidis, G. K., Schober, R., Yuan, J., & Bhargava, V. K. (2017). A survey on non-orthogonal multiple access for 5G networks: Research challenges and future trends. IEEE Journal on Selected Areas in Communications, 35(10), 2181–2195. https://doi.org/10.1109/JSAC.2017.2725519

    Article  Google Scholar 

  4. Islam, S. M. R., Avazov, N., Dobre, O. A., & Kwak, K.-S. (2017). Power-domain non-orthogonal multiple access (NOMA) in 5G systems: Potentials and challenges. IEEE Communications Surveys Tutorials, 19(2), 721–742. https://doi.org/10.1109/COMST.2016.2621116

    Article  Google Scholar 

  5. Maraqa, O., Rajasekaran, A. S., Al-Ahmadi, S., Yanikomeroglu, H., & Sait, S. M. (2020). A survey of rate-optimal power domain NOMA with enabling technologies of future wireless networks. IEEE Communications Surveys & Tutorials, 22(4), 2192–2235. https://doi.org/10.1109/COMST.2020.3013514

    Article  Google Scholar 

  6. Rappaport, T. S., et al. (2013). Millimeter wave mobile communications for 5G cellular: It will work! IEEE Access, 1, 335–349. https://doi.org/10.1109/ACCESS.2013.2260813

    Article  Google Scholar 

  7. Xiao, M., et al. (2017). Millimeter wave communications for future mobile networks. IEEE Journal on Selected Areas in Communications, 35(9), 1909–1935. https://doi.org/10.1109/JSAC.2017.2719924

    Article  Google Scholar 

  8. Hong, W., et al. (2021). The role of millimeter-wave technologies in 5G/6G wireless communications. IEEE Journal of Microwaves, 1(1), 101–122. https://doi.org/10.1109/JMW.2020.3035541

    Article  Google Scholar 

  9. Zhang, D., Zhou, Z., Xu, C., Zhang, Y., Rodriguez, J., & Sato, T. (2017). Capacity analysis of NOMA with mmwave massive MIMO systems. IEEE Journal on Selected Areas in Communications, 35(7), 1606–1618. https://doi.org/10.1109/JSAC.2017.2699059

    Article  Google Scholar 

  10. Budhiraja, I., et al. (2021). A systematic review on NOMA variants for 5G and beyond. IEEE Access, 9, 85573–85644. https://doi.org/10.1109/ACCESS.2021.3081601

    Article  Google Scholar 

  11. 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. https://doi.org/10.1109/TSP.2015.2480042

    Article  MathSciNet  MATH  Google Scholar 

  12. Zhu, F., Lu, Z., Zhu, J., Wang, J., & Huang, Y. (2018). Beamforming design for downlink non-orthogonal multiple access systems. IEEE Access, 6, 10956–10965. https://doi.org/10.1109/ACCESS.2018.2797209

    Article  Google Scholar 

  13. Alavi, F., Cumanan, K., Ding, Z., & Burr, A. G. (2018). Beamforming techniques for nonorthogonal multiple access in 5G cellular networks. IEEE Transactions on Vehicular Technology, 67(10), 9474–9487. https://doi.org/10.1109/TVT.2018.2856375

    Article  Google Scholar 

  14. Xiao, Z., Zhu, L., Choi, J., Xia, P., & Xia, X.-G. (2018). Joint power allocation and beamforming for non-orthogonal multiple access (NOMA) in 5G millimeter wave communications. IEEE Transactions on Wireless Communications, 17(5), 2961–2974. https://doi.org/10.1109/TWC.2018.2804953

    Article  Google Scholar 

  15. Sumathi, S., & Thakre, A. (2019). Impact of Imperfect Channel State Information on Downlink Sum-Rate of Two user mmWave Non Orthogonal Multiple Access. In: 2019 International Conference on Communication and Electronics Systems (ICCES), pp. 1–6. https://doi.org/10.1109/ICCES45898.2019.9002561.

  16. Sumathi, S., Ramesh, T.K., & Ding, Z. (2021). Analog beamforming mm-wave two user non-orthogonal multiple access. Lecture notes of the institute for computer sciences, social informatics and telecommunications engineering, vol. 383. Springer, Cham.

  17. Sumathi, S., Ramesh, T. K., & Ding, Z. (2023). Low complex analog beamforming design in multi-user mmWave non-orthogonal multiple access (NOMA). Journal of Circuits, Systems and Computers. https://doi.org/10.1142/S0218126623502195

    Article  Google Scholar 

  18. Kimy, B., et al. (2013). Non-orthogonal multiple access in a downlink multiuser beamforming system. In: MILCOM 2013 - 2013 IEEE military communications conference, pp. 1278–1283 https://doi.org/10.1109/MILCOM.2013.218.

  19. Cui, J., Ding, Z., & Fan, P. (2017). Beamforming design for MISO non-orthogonal multiple access systems. IET Communications, 11(5), 720–725. https://doi.org/10.1049/iet-com.2015.0746

    Article  Google Scholar 

  20. Ali, S., Hossain, E., & Kim, D. I. (2017). Non-orthogonal multiple access (NOMA) for downlink multiuser mimo systems: user clustering, beamforming, and power allocation. IEEE Access, 5, 565–577. https://doi.org/10.1109/ACCESS.2016.2646183

    Article  Google Scholar 

  21. Ding, Z., Fan, P., & Poor, H. V. (2017). Random beamforming in millimeter-wave NOMA networks. IEEE Access, 5, 7667–7681. https://doi.org/10.1109/ACCESS.2017.2673248

    Article  Google Scholar 

  22. Cui, J., Liu, Y., Ding, Z., Fan, P., & Nallanathan, A. (2018). Optimal user scheduling and power allocation for millimeter wave NOMA systems. IEEE Transactions on Wireless Communications, 17(3), 1502–1517. https://doi.org/10.1109/TWC.2017.2779504

    Article  Google Scholar 

  23. Nasser, A., Muta, O., Gacanin, H., & Elsabrouty, M. (2021). Joint user pairing and power allocation with compressive sensing in NOMA systems. IEEE Wireless Communications Letters, 10(1), 151–155. https://doi.org/10.1109/LWC.2020.3023619

    Article  Google Scholar 

  24. Hao, W., Zeng, M., Chu, Z., & Yang, S. (2017). Energy-efficient power allocation in millimeter wave massive MIMO with non-orthogonal multiple access. IEEE Wireless Communications Letters, 6(6), 782–785. https://doi.org/10.1109/LWC.2017.2741493

    Article  Google Scholar 

  25. Yu, X., Xu, F., Yu, K., & Dang, X. (2019). Power allocation for energy efficiency optimization in multi-user mmWave-NOMA system with hybrid precoding. IEEE Access, 7, 109083–109093. https://doi.org/10.1109/ACCESS.2019.2933328

    Article  Google Scholar 

  26. Zhu, L., Zhang, J., Xiao, Z., Cao, X., Wu, D. O., & Xia, X.-G. (2019). Millimeter-wave NOMA with user grouping, power allocation and hybrid beamforming. IEEE Transactions on Wireless Communications, 18(11), 5065–5079. https://doi.org/10.1109/TWC.2019.2932070

    Article  Google Scholar 

  27. Jiang, J., Lei, M., & Hou, H. (2019). Downlink multiuser hybrid beamforming for Mmwave massive MIMO-NOMA system with imperfect CSI. International Journal of Antennas and Propagation, 2019, 9764958. https://doi.org/10.1155/2019/9764958

    Article  Google Scholar 

  28. Ding, Z., Dai, L., Schober, R., & Vincent Poor, H. (2017). NOMA meets finite resolution analog beamforming in massive MIMO and millimeter-wave networks. IEEE Communications Letters, 21(8), 1879–1882. https://doi.org/10.1109/LCOMM.2017.2700846

    Article  Google Scholar 

  29. Kennedy, J., & Eberhart, R. (1995). Particle swarm optimization. In: proceedings of ICNN’95 - international conference on neural networks, vol. 4, pp. 1942–1948 . https://doi.org/10.1109/ICNN.1995.488968.

  30. Yudong Zhang, Y., Wang, S., & Ji, G. (2015). Comprehensive survey on particle swarm optimization algorithm and its applications. Mathematical Problems in Engineering. https://doi.org/10.1155/2015/931256

    Article  MathSciNet  MATH  Google Scholar 

  31. Piotrowski, A. P., Napiorkowski, J. J., & Piotrowska, A. E. (2020). Population size in particle swarm optimization. Swarm and Evolutionary Computation. https://doi.org/10.1016/j.swevo.2020.100718

    Article  Google Scholar 

  32. Xu, F., Yu, X., Li, M., & Wen, B. (2019). Energy-efficient power allocation scheme for hybrid precoding mmWave-NOMA system with multi-user pairing. In: 2019 IEEE international conference on communications workshops (ICC Workshops), pp. 1–5 https://doi.org/10.1109/ICCW.2019.8756772.

Download references

Funding

The authors did not receive fund from any organization for the submitted work.

Author information

Authors and Affiliations

Authors

Contributions

All authors contributed to the study conception and design. Material preparation, investigation and coding were performed by [SS]. Project administration and supervision were done by [TKR] and [ZD]. The first draft of the manuscript was written by [SS] and reviewing and editing was done by [TKR] and [ZD]. All authors read and approved the final manuscript.

Corresponding author

Correspondence to S. Sumathi.

Ethics declarations

Conflict of interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Ethics approval

The authors declare that this manuscript is original and has not been published before and is not currently being considered for publication elsewhere.

Informed consent

The authors declare that this research does not involve human participants and/or animals.

Additional information

Publisher's Note

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

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sumathi, S., Ramesh, T.K. & Ding, Z. PSO based power allocation in multiuser hybrid beamforming mmWave NOMA. Wireless Netw 29, 2079–2091 (2023). https://doi.org/10.1007/s11276-023-03264-1

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11276-023-03264-1

Keywords

Navigation