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智能超表面辅助多用户系统的通用低复杂度波束成形设计

陈晓 施建锋 朱建月 潘存华

陈晓, 施建锋, 朱建月, 潘存华. 智能超表面辅助多用户系统的通用低复杂度波束成形设计[J]. 电子与信息学报. doi: 10.11999/JEIT240051
引用本文: 陈晓, 施建锋, 朱建月, 潘存华. 智能超表面辅助多用户系统的通用低复杂度波束成形设计[J]. 电子与信息学报. doi: 10.11999/JEIT240051
CHEN Xiao, SHI Jianfeng, ZHU Jianyue, PAN Cunhua. General Low-complexity Beamforming Designs for Reconfigurable Intelligent Surface-aided Multi-user Systems[J]. Journal of Electronics & Information Technology. doi: 10.11999/JEIT240051
Citation: CHEN Xiao, SHI Jianfeng, ZHU Jianyue, PAN Cunhua. General Low-complexity Beamforming Designs for Reconfigurable Intelligent Surface-aided Multi-user Systems[J]. Journal of Electronics & Information Technology. doi: 10.11999/JEIT240051

智能超表面辅助多用户系统的通用低复杂度波束成形设计

doi: 10.11999/JEIT240051
基金项目: 国家自然科学基金(62101273, 62201274),江苏省自然科学基金(BK20210641, BK20220439)
详细信息
    作者简介:

    陈晓:女,讲师,研究方向为智能超表面、大规模MIMO系统、基于深度学习通信技术等

    施建锋:男,副教授,研究方向为天地一体化网络、波束成形理论、基于机器学习通信技术等

    朱建月:女,讲师,研究方向为非正交多址接入技术、无线资源管理等

    潘存华:男,教授,研究方向为无线通信传输设计,信道估计与定位,通感一体化,AI辅助通信等

    通讯作者:

    陈晓 x.chen@nuist.edu.cn

  • 中图分类号: TN929.5

General Low-complexity Beamforming Designs for Reconfigurable Intelligent Surface-aided Multi-user Systems

Funds: The National Natural Science Foundation of China (62101273, 62201274), The Natural Science Foundation of Jiangsu Province of China (BK20210641, BK20220439)
  • 摘要: 针对可重构智能超表面(RIS)辅助多用户系统中基站和RIS联合波束成形设计问题,该文提出通用低复杂度联合波束成形设计方案。首先,分析RIS辅助多用户系统以最大化和数据速率为目标的联合波束成形非凸优化问题。其次,利用波束导向矢量近似正交性设计RIS反射矩阵,进一步利用迫零方法设计基站发射波束成形,并对多用户进行功率分配优化。最后,讨论该方案适用性并对比该方案的计算复杂度相比现有方案降低了一个数量级。仿真结果表明,所提通用低复杂度波束成形设计可以获得较高和数据速率,并且采用最优功率分配可以进一步提高和数据速率。此外,仿真结果和理论分析都表明系统和数据速率随RIS位置的变化而变化,该结论为RIS位置的选择提供参考依据。
  • 图  1  系统模型

    图  2  和数据速率与反射元件数$ N $的关系,$ K = 4 $, $ {d_{{\text{BR}}}} = {d_{{\text{RU}}}} = 30{\kern 1pt} {\kern 1pt} {\text{m}} $

    图  3  LoS信道和莱斯信道和数据速率对比,$ K = 4 $,$ {d_{{\text{BR}}}} = {d_{{\text{RU}}}} = 30{\kern 1pt} {\kern 1pt} {\text{m}} $

    图  4  和数据速率与RIS和UEs间距$ {d_{{\text{RU}}}} $的关系,$ K = 4 $, $ N = 64 $

    图  5  和数据速率与用户数$ K $的关系,$ N = 64 $, $ {d_{{\text{BR}}}} = {d_{{\text{RU}}}} = 30{\kern 1pt} {\kern 1pt} {\text{m}} $

    1  低复杂度联合波束成形设计算法

     输入:初始化$ \left( {{{\boldsymbol{W}}}{\text{,}}{ {\boldsymbol{\varTheta }}}{\text{,}}{ {\boldsymbol{P}}}} \right) $
     步骤1 基于已知BS-RIS信道$ {{\boldsymbol{G}}} $和RIS-UEs信道$ {{{\boldsymbol{H}}}_{\text{r}}} $和引理1,根
     据式(14)计算RIS反射矩阵$ {{\boldsymbol{\varTheta}} } $;
     步骤2 基于ZF理论,根据式(19)计算BS发射波束成形$ {{\boldsymbol{W}}} $;
     步骤3 基于WF理论,根据式(23)计算功率分配矢量$ {{\boldsymbol{P}}} $;
     步骤4 输出优化得到的$ \left( {{{\boldsymbol{W}}}{\text{,}}{ {\boldsymbol{\varTheta}} }{\text{,}}{ {\boldsymbol{P}}}} \right) $。
    下载: 导出CSV

    表  1  波束成形方案计算复杂度对比

    文献 复杂度 参数
    文献 [3] $ \mathcal{O}\left( {{N^6}} \right) $ N:RIS反射元件数
    文献[18] $ \mathcal{O}\left( {{I_{\text{o}}}\left( {{I_{\text{a}}}{M^2}{K^2} + {I_{\text{p}}}{N^2}} \right)} \right) $ M:基站发射天线数
    文献[16] $ \mathcal{O}\left( {Q\left( {{M^3} + M{N^2} + N!} \right)} \right) $ K:用户数
    文献[17] $ \mathcal{O}\left( {NI\left( {K{M^2}} \right)} \right) $ $ {I_{\text{o}}} $,$ {I_{\text{a}}} $,$ {I_{\text{p}}} $,$ I $:迭代次数
    本文 $ \mathcal{O}\left( {N + {K^2}M + {K^3}} \right) $ Q:预设训练集数目
    下载: 导出CSV
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出版历程
  • 收稿日期:  2024-01-24
  • 修回日期:  2024-03-15
  • 网络出版日期:  2024-03-26

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