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Low Complex Analog Beamforming Design in Multi-User mmWave Non-Orthogonal Multiple Access (NOMA)

    https://doi.org/10.1142/S0218126623502195Cited by:2 (Source: Crossref)

    In this paper, we investigate non-orthogonal multiple access (NOMA) scheme in millimeter wave (mmWave) communication to serve nonclustered multiple users. We explore a low complex design of an analog beamforming weight vector and the power requirement of users aiming to minimize the total power targeting to satisfy the spectral efficiency (SE) requirements of all users. We propose a low complex constant modulus analog beamforming (CMAB) algorithm, where we first reduce the number of signal to interference plus noise ratio (SINR) constraints, which is attained from the order of equivalent channel gain of users. Then, the nonconvex constraint of constant modulus (CM) is relaxed and semi-definite programming (SDP) is used to solve the problem. Obtained weight vector and power for all users are optimal since the rank of positive semi-definite (PSD) matrix is one. Later, CM constraint is included. Simulation results show that the proposed algorithm requires less power with minimum complexity compared to the existing research, digital beamforming NOMA and time division multiple access (TDMA) for the same SE requirements.

    This paper was recommended by Regional Editor Takuro Sato.

    References

    • 1. M. Liyanage, Q.-V. Pham, K. Dev, S. Bhattacharya, P. K. R. Maddikunta, T. R. Gadekallu and G. Yenduri , A survey on zero touch network and Service Management (ZSM) for 5G and beyond networks, J. Netw. Comput. Appl. 203 (2022) 103362. Crossref, Web of ScienceGoogle Scholar
    • 2. T. S. Rappaport et al., Millimeter wave mobile communications for 5G cellular: It will work! IEEE Access 1 (2013) 335–349. Crossref, Web of ScienceGoogle Scholar
    • 3. Y. Niu et al., A survey of millimeter wave communications (mmWave) for 5G: Opportunities and challenges, Wirel. Netw. 21 (2015) 2657–2676. Crossref, Web of ScienceGoogle Scholar
    • 4. W. Hong et al., The role of millimeter-wave technologies in 5G/6G wireless communications, IEEE J. Microw. 1 (2021) 101–122. CrossrefGoogle Scholar
    • 5. M. Xiao et al., Millimeter wave communications for future mobile networks, IEEE J. Sel. Areas Commun. 35 (2017) 1909–1935. Crossref, Web of ScienceGoogle Scholar
    • 6. I. Budhiraja et al., A systematic review on NOMA variants for 5G and beyond, IEEE Access 9 (2021) 85573–85644. Crossref, Web of ScienceGoogle Scholar
    • 7. S. M. R. Islam, N. Avazov, O. A. Dobre and K.-S. Kwak , Power-domain Non-Orthogonal Multiple Access (NOMA) in 5G systems: Potentials and challenges, IEEE Commun. Surv. Tutor. 19 (2017) 721–742. Crossref, Web of ScienceGoogle Scholar
    • 8. Z. Ding, X. Lei, G. K. Karagiannidis, R. Schober, J. Yuan and V. K. Bhargava , A survey on non-orthogonal multiple access for 5G networks: Research challenges and future trends, IEEE J. Sel. Areas Commun. 35 (2017) 2181–2195. Crossref, Web of ScienceGoogle Scholar
    • 9. J. G. Andrews, T. Bai, M. N. Kulkarni, A. Alkhateeb, A. K. Gupta and R. W. Heath , modeling and analyzing millimeter wave cellular systems, IEEE Trans. Commun. 65 (2017) 403–430. Web of ScienceGoogle Scholar
    • 10. S. Sun, T. S. Rappaport, R. W. Heath, A. Nix and S. Rangan , MIMO for millimeter-wave wireless communications: Beamforming, spatial multiplexing, or both? IEEE Commun. Mag. 52 (2014) 110–121. Crossref, Web of ScienceGoogle Scholar
    • 11. B. Kimy, S. Lim, H. Kim, S. Suh, J. Kwun, S. Choi, C. Lee, S. Lee and D. Hong , Non-orthogonal multiple access in a downlink multiuser beamforming system, Proc. IEEE MILCOM 2013 — 2013 IEEE Military Communications Conf. (San Diego, 2013), pp. 1278–1283. https://doi.org/10.1109/MILCOM.2013.218 CrossrefGoogle Scholar
    • 12. L. Zhu, J. Zhang, Z. Xiao, X. Cao, D. O. Wu and X.-G. Xia , Millimeter-wave NOMA with user grouping, power allocation and hybrid beamforming, IEEE Trans. Wirel. Commun. 18 (2019) 5065–5079. Crossref, Web of ScienceGoogle Scholar
    • 13. M. F. Hanif, Z. Ding, T. Ratnarajah and G. K. Karagiannidis , A minorization-maximization method for optimizing sum rate in the downlink of non-orthogonal multiple access systems, IEEE Trans. Signal Process. 64 (2016) 76–88. Crossref, Web of ScienceGoogle Scholar
    • 14. F. Alavi, K. Cumanan, Z. Ding and A. G. Burr , Beamforming techniques for nonorthogonal multiple access in 5G cellular networks, IEEE Trans. Veh. Technol. 67 (2018) 9474–9487. Crossref, Web of ScienceGoogle Scholar
    • 15. F. Zhu, Z. Lu, J. Zhu, J. Wang and Y. Huang , Beamforming design for downlink non-orthogonal multiple access systems, IEEE Access 6 (2018) 10956–10965. Crossref, Web of ScienceGoogle Scholar
    • 16. Z. Chen, Z. Ding, P. Xu and X. Dai , Optimal precoding for a QoS optimization problem in two-user MISO-NOMA downlink, IEEE Commun. Lett. 20 (2016) 1263–1266. Crossref, Web of ScienceGoogle Scholar
    • 17. Z. Chen, Z. Ding, P. Xu, X. Dai, J. Xu and D. W. K. Ng , Comment on optimal precoding for a QoS optimization problem in two-user MISO-NOMA downlink, IEEE Commun. Lett. 21 (2017) 2109–2111. Crossref, Web of ScienceGoogle Scholar
    • 18. Y. Huang and D. P. Palomar , Rank-constrained separable semidefinite programming with applications to optimal beamforming, IEEE Trans. Signal Process. 58 (2010) 664–678. Crossref, Web of ScienceGoogle Scholar
    • 19. Z.-Q. Luo, W.-K. Ma, A. M.-C. So, Y. Ye and S. Zhang , Semidefinite relaxation of quadratic optimization problems, IEEE Signal Process. Mag. 27 (2010) 20–34. Crossref, Web of ScienceGoogle Scholar
    • 20. X. Xie, F. Fang and Z. Ding , Joint optimization of beamforming, phase-shifting and power allocation in a multi-cluster IRS-NOMA Network, IEEE Trans. Veh. Technol. 70 (2021) 7705–7717. Crossref, Web of ScienceGoogle Scholar
    • 21. Z. Wei, L. Zhao, J. Guo, D. W. K. Ng and J. Yuan , Multi-beam NOMA for hybrid mm wave systems, IEEE Trans. Commun. 67 (2019) 1705–1719. Crossref, Web of ScienceGoogle Scholar
    • 22. Z. Xiao, L. Zhu, J. Choi, P. Xia and X.-G. Xia , Joint power allocation and beamforming for Non-Orthogonal Multiple Access (NOMA) in 5G millimeter wave communications, IEEE Trans. Wirel. Commun. 17 (2018) 2961–2974. Crossref, Web of ScienceGoogle Scholar
    • 23. S. Sumathi and A. Thakre , Impact of imperfect channel state information on downlink sum-rate of two user mmWave non-orthogonal multiple access, 2019 Int. Conf. Communication and Electronics Systems (ICCES) (Coimbatore, 2019), pp. 1–6. https://doi.org/10.1109/ICCES45898.2019.9002561 CrossrefGoogle Scholar
    • 24. Z. Xiao, L. Zhu, Z. Gao, D. O. Wu and X.-G. Xia , User fairness Non-Orthogonal Multiple Access (NOMA) for millimeter-wave communications with analog beamforming, IEEE Trans. Wirel. Commun. 18 (2019) 3411–3423. Crossref, Web of ScienceGoogle Scholar
    • 25. L. Zhu, J. Zhang, Z. Xiao, X. Cao, D. O. Wu and X.-G. Xia , Joint Tx-Rx beamforming and power allocation for 5G millimeter-wave non-orthogonal multiple access networks, IEEE Trans. Commun. 67 (2019) 5114–5125. Crossref, Web of ScienceGoogle Scholar
    • 26. S. Sumathi, T. K. Ramesh and Z. Ding, Analog beamforming mm-Wave two user non-orthogonal multiple access, in Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering , Ubiquitous Communications and Network Computing 4th EAI International Conference, UBICNET, Vol. 383 (Springer, Cham, 2021), pp. 66–76, https://link.springer.com/chapter/10.1007/978-3-030-79276-3_6. Google Scholar
    • 27. H. M. Al-Obiedollah, K. Cumanan, J. Thiyagalingam, J. Tang, A. G. Burr, Z. Ding and O. A. Dobre , Spectral-energy efficiency trade-off-based beamforming design for MISO non-orthogonal multiple access systems, IEEE Trans. Wirel. Commun. 19 (2020) 6593–6606. Crossref, Web of ScienceGoogle Scholar
    • 28. M. Bengtsson and M. Ottersten , Handbook of Antennas in Wireless Communications (CRC Press, 2001). Google Scholar
    • 29. M. Grant and S. Boyd, CVX: Matlab Software for Disciplined Convex Programming, Version 2.0 Beta (2013) http://cvxr.com/cvx. Google Scholar