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YAN Junrong, JIANG Peilian, LI Pei. A Hybrid Beamforming Algorithm Based on Limited-Broyden-Fletcher-Goldfarb-Shanno[J]. Journal of Electronics & Information Technology. doi: 10.11999/JEIT230656
Citation: YAN Junrong, JIANG Peilian, LI Pei. A Hybrid Beamforming Algorithm Based on Limited-Broyden-Fletcher-Goldfarb-Shanno[J]. Journal of Electronics & Information Technology. doi: 10.11999/JEIT230656

A Hybrid Beamforming Algorithm Based on Limited-Broyden-Fletcher-Goldfarb-Shanno

doi: 10.11999/JEIT230656
Funds:  The National Natural Science Foundation of China (U21A20450, 62301204)
  • Received Date: 2023-07-03
  • Accepted Date: 2023-11-14
  • Rev Recd Date: 2023-11-13
  • Available Online: 2023-11-21
  • To solve the problems of long runtime, low spectral rate and high bit error rate, which exist in conventional hybrid beamforming schemes, a hybrid beamforming algorithm based on Limited-Broyden-Fletcher-Goldfarb-Shanno (LBFGS) is proposed. Firstly, a single variable objective function is constructed through the least squares solution of the digital precoder. Then, the gradient of the objective function is used to approximate the inverse of the Hessian matrix for obtaining the search direction and the analog precoder is updated along the search direction until the stop condition is satisfied. Finally, the analog precoder is fixed to obtain the digital precoder. The MATLAB simulation analysis indicate that LBFGS algorithm reduces the running time by 28%, increases spectral rate by 1.05%, and reduces bit error rate by 1.06%, compared to MO algorithm.
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  • [1]
    SAAD W, BENNIS M, and CHEN Mingzhe. A vision of 6G wireless systems: Applications, trends, technologies, and open research problems[J]. IEEE Network, 2020, 34(3): 134–142. doi: 10.1109/MNET.001.1900287
    [2]
    ZHANG Jun, YU Xianghao, and LETAIEF K B. Hybrid beamforming for 5G and beyond millimeter-wave systems: A holistic view[J]. IEEE Open Journal of the Communications Society, 2020, 1: 77–91. doi: 10.1109/OJCOMS.2019.2959595
    [3]
    ABDULLAH Q, SALH A, MOHDSHAH N S, et al. A brief survey and investigation of hybrid beamforming for millimeter waves in 5G massive MIMO systems[J]. arXiv: 2105.00180, 2021.
    [4]
    RIHAN M, SOLIMAN T A, XU Chen, et al. Taxonomy and performance evaluation of hybrid beamforming for 5G and beyond systems[J]. IEEE Access, 2020, 8: 74605–74626. doi: 10.1109/ACCESS.2020.2984548
    [5]
    UWAECHIA A N and MAHYUDDIN N M. A comprehensive survey on millimeter wave communications for fifth-generation wireless networks: feasibility and challenges[J]. IEEE Access, 2020, 8: 62367–62414. doi: 10.1109/ACCESS.2020.2984204
    [6]
    ULLAH M S, SARKER S C, ASHRAF Z B, et al. Spectral efficiency of multiuser massive MIMO-OFDM THz wireless systems with hybrid beamforming under inter-carrier interference[C]. Proceedings of the 12th International Conference on Electrical and Computer Engineering (ICECE), Dhaka, Bangladesh, 2022: 228–231.
    [7]
    LIU Ying and WANG Jintao. Low-complexity OFDM-based hybrid precoding for multiuser massive MIMO systems[J]. IEEE Wireless Communications Letters, 2020, 9(3): 263–266. doi: 10.1109/lwc.2019.2929518
    [8]
    ZHAO Xingyu, LIN Tian, ZHU Yu, et al. Partially-connected hybrid beamforming for spectral efficiency maximization via a weighted MMSE equivalence[J]. IEEE Transactions on Wireless Communications, 2021, 20(12): 8218–8232. doi: 10.1109/TWC.2021.3091524
    [9]
    赵峰, 何晓华. 混合动态连接结构的多用户多流混合预编码[J]. 电子与信息学报, 2021, 43(9): 2647–2653. doi: 10.11999/JEIT200441

    ZHAO Feng and HE Xiaohua. Multi-user multi-stream hybrid precoding with hybrid dynamic connection structure[J]. Journal of Electronics & Information Technology, 2021, 43(9): 2647–2653. doi: 10.11999/JEIT200441
    [10]
    AYACH O E, RAJAGOPAL S, ABU-SURRA S, et al. Spatially sparse precoding in millimeter wave MIMO systems[J]. IEEE Transactions on Wireless Communications, 2014, 13(3): 1499–1513. doi: 10.1109/TWC.2014.011714.130846
    [11]
    YU Xianghao, SHEN J C, ZHANG Jun, et al. Alternating minimization algorithms for hybrid precoding in millimeter wave MIMO systems[J]. IEEE Journal of Selected Topics in Signal Processing, 2016, 10(3): 485–500. doi: 10.1109/JSTSP.2016.2523903
    [12]
    JIN Juening, ZHENG Y R, CHEN Wen, et al. Hybrid precoding for millimeter wave MIMO systems: A matrix factorization approach[J]. IEEE Transactions on Wireless Communications, 2018, 17(5): 3327–3339. doi: 10.48550/arXiv.2003.11972
    [13]
    LI Jinmeng, CHENG Zhiqun, and LI Hang. Hybrid precoding scheme in millimeter wave massive MIMO based on stochastic gradient descent[C]. Proceedings of 2021 IEEE Asia Conference on Information Engineering (ACIE), Sanya, China, 2021: 22–26.
    [14]
    刘文龙, 黄雯静, 王本巍, 等. 毫米波单用户多天线系统的混合预编码设计[J]. 电子与信息学报, 2022, 44(2): 620–626. doi: 10.11999/JEIT202019

    LIU Wenlong, HUANG Wenjing, WANG Benwei, et al. Hybrid precoding design in millimeter wave single-user large-scale multiple-input multiple-output system[J]. Journal of Electronics & Information Technology, 2022, 44(2): 620–626. doi: 10.11999/JEIT202019
    [15]
    HUANG Wen. Optimization algorithms on Riemannian manifolds with applications[D]. [Ph. D. dissertation], Florida State University, 2013.
    [16]
    ZANG Guangda, HU Lingna, YANG Feng, et al. Partially-connected hybrid beamforming for multi-user massive MIMO systems[J]. IEEE Access, 2020, 8: 215287–215298. doi: 10.1109/ACCESS.2020.3040508
    [17]
    SONG Nuan, YANG Tao, and SUN Huan. Overlapped subarray based hybrid beamforming for millimeter wave multiuser massive MIMO[J]. IEEE Signal Processing Letters, 2017, 24(5): 550–554. doi: 10.1109/LSP.2017.2681689
    [18]
    BOUMAL N. An Introduction to Optimization on Smooth Manifolds[M]. Cambridge: Cambridge University Press, 2023: 5–151.
    [19]
    KASAI H. Fast optimization algorithm on complex oblique manifold for hybrid precoding in millimeter wave MIMO systems[C]. Proceedings of 2018 IEEE Global Conference on Signal and Information Processing (GlobalSIP), Anaheim, USA, 2018: 1266–1270.
    [20]
    LIN Tian, CONG Jiaqi, ZHU Yu, et al. Hybrid beamforming for millimeter wave systems using the MMSE criterion[J]. IEEE Transactions on Communications, 2019, 67(5): 3693–3708. doi: 10.1109/TCOMM.2019.2893632
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