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Laser & Optoelectronics Progress, Volume. 59, Issue 5, 0506002(2022)

Hybrid Beamforming Based Millimeter Wave Massive MIMO Channel Estimation

Jingze Huang1,2, Xuwen Liang1, and Zhuochen Xie1、*
Author Affiliations
  • 1Innovation Academy for Microsatelite, Chinese Academy of Sciences, Shanghai , 201203, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (8)
    Equations (21)
    References (27)
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    Figures & Tables(8)
    Hybrid beamforming architecture

    Fig. 1. Hybrid beamforming architecture

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    Comparison of mean square error under different conditions. (a) T=300; (b) T=600; (c) T=900; (d) T=1200

    Fig. 2. Comparison of mean square error under different conditions. (a) T=300; (b) T=600; (c) T=900; (d) T=1200

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    Comparison of achievable spectral efficiency under different conditions. (a) T=300; (b) T=600; (c) T=900; (d) T=1200

    Fig. 3. Comparison of achievable spectral efficiency under different conditions. (a) T=300; (b) T=600; (c) T=900; (d) T=1200

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    Comparison of mean square error under different path numbers

    Fig. 4. Comparison of mean square error under different path numbers

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    Comparison of calculation time of each algorithm

    Fig. 5. Comparison of calculation time of each algorithm

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    Convergence of ALADIN_based plan

    Fig. 6. Convergence of ALADIN_based plan

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    • Table 1. Notation definition

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      Table 1. Notation definition

      a,a and AScaler， vector and matrix
      AT,AH and A*Matrix transpose， conjugate transpose and conjugate
      ⋅F,⋅*,⋅0 and ⋅1Frobenius norm， nuclear norm， l0-norm and l1-norm
      ∘ and ⊗Matrix Hadamard and Kronecker products
      vec(⋅)Vectorization of matrix
      unvec(⋅)Inverse operation of vec(⋅)
      diag(⋅)Diagonal of （·）
      E⋅Expected value of （·）
      tr(⋅)Trace of matrix
      Re⋅Real part of the complex variable
      Im⋅Imaginary part of the complex variable

    • Table 2. ALADIN_based millimeter wave massive MIMO channel estimation

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      Table 2. ALADIN_based millimeter wave massive MIMO channel estimation

      Input： H，Ω，DR，DT，ρ，τH，τZ，Imax
      Output： H（Imax）
      Initialization：H(0)=Z(0)=C(0)=0, Y=HΩ and τH，τZ，ρ
      for i=0, 1, ...,Imax-1 do
      1： Update H(i+1) using （9）.
      2： Solve （11）， then Y(i+1)=unvec(y(i+1)).
      3： Update Zi+1 by solving （13）
      4： Update C(i+1) using （16）.
      5： Update λ1，λ2 using （17） and （18）
      end for
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    Jingze Huang, Xuwen Liang, Zhuochen Xie. Hybrid Beamforming Based Millimeter Wave Massive MIMO Channel Estimation[J]. Laser & Optoelectronics Progress, 2022, 59(5): 0506002

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    Paper Information

    Category: Fiber Optics and Optical Communications

    Received: Mar. 15, 2021

    Accepted: May. 24, 2021

    Published Online: Feb. 22, 2022

    The Author Email: Xie Zhuochen (huangjz@mail.ustc.edu.cn)

    DOI:10.3788/LOP202259.0506002

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology