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智能反射表面辅助的非正交多址接入系统用户分组、波束赋形与相移的优化

雷维嘉 于顺洪 雷宏江 唐宏

雷维嘉, 于顺洪, 雷宏江, 唐宏. 智能反射表面辅助的非正交多址接入系统用户分组、波束赋形与相移的优化[J]. 电子与信息学报, 2024, 46(3): 858-866. doi: 10.11999/JEIT230329
引用本文: 雷维嘉, 于顺洪, 雷宏江, 唐宏. 智能反射表面辅助的非正交多址接入系统用户分组、波束赋形与相移的优化[J]. 电子与信息学报, 2024, 46(3): 858-866. doi: 10.11999/JEIT230329
LEI Weijia, YU Shunhong, LEI Hongjiang, TANG Hong. Optimization of User Pairing, Beamforming and Phase-shifting for Intelligent Reflecting Surface Assisted Non-Orthogonal Multiple Access Systems[J]. Journal of Electronics & Information Technology, 2024, 46(3): 858-866. doi: 10.11999/JEIT230329
Citation: LEI Weijia, YU Shunhong, LEI Hongjiang, TANG Hong. Optimization of User Pairing, Beamforming and Phase-shifting for Intelligent Reflecting Surface Assisted Non-Orthogonal Multiple Access Systems[J]. Journal of Electronics & Information Technology, 2024, 46(3): 858-866. doi: 10.11999/JEIT230329

智能反射表面辅助的非正交多址接入系统用户分组、波束赋形与相移的优化

doi: 10.11999/JEIT230329
基金项目: 国家自然科学基金(61971080)
详细信息
    作者简介:

    雷维嘉:男,教授,研究方向为无线通信和移动通信技术

    于顺洪:女,硕士生,研究方向为智能反射面和非正交多址接入技术

    雷宏江:男,教授,研究方向为无线通信系统建模与分析、物理层安全

    唐宏:男,教授,研究方向为计算机网络、移动通信、大数据技术与应用

    通讯作者:

    于顺洪 yu.shh@outlook.com

  • 中图分类号: TN92

Optimization of User Pairing, Beamforming and Phase-shifting for Intelligent Reflecting Surface Assisted Non-Orthogonal Multiple Access Systems

Funds: The National Natural Science Foundation of China (61971080)
  • 摘要: 该文研究智能反射表面(IRS)辅助的多天线非正交多址接入(NOMA)网络中用户分组、发送波束赋形、相移等的联合优化问题。系统中1个分组分配1个波束并在组内进行连续干扰消除检测。该文提出一种不依赖于发送波束赋形和IRS相移的用户分组配对策略,将用户分组与其他优化分离,显著降低了优化问题求解的难度和计算复杂度。进一步,联合优化基站发送波束赋形、功率分配和IRS相移矩阵,最小化基站的总发送功率。原始优化问题是一个多变量相互耦合的非凸优化问题,利用松弛变量、连续凸逼近、半定松弛、交替迭代优化等方法将原问题转化为凸问题并求解。仿真结果显示,相较于1个用户1个波束的方案,所提方案在基站天线数较少时性能更优,而在天线数较多时也与该对比方案非常接近,但所提方案的优化计算复杂度更低。而对比采用不同分组算法、随机IRS相移方案、最大比发射方案,以及无IRS的方案,所提方案的性能始终更优。
  • 图  1  IRS 辅助 NOMA 系统模型

    图  2  用户最小速率对基站发射功率的影响,J=6, N=8

    图  3  发射天线数对基站发射功率的影响,N=8

    图  4  IRS 反射单元数对基站发射功率的影响,J=6

    图  5  用户数目对基站发射功率的影响,J=6, N=8

    算法1 优化问题P1的求解算法
     (1) 初始化参数:$c=0 $, ${\lambda _1} $, ${\lambda _2} $,随机取值相移矩阵${\boldsymbol{\varPhi}}^{(0)} $,和
       波束赋形矢量${\boldsymbol{w}}_k^{(0)}$,求解问题P2,$P_{l,i}^{(0)} $得到和$P_{m,1}^{(0)} $
     (2) while;
     (3) ${c_1} = {c_1} + 1 $
     (4)初始化参数:${c_2} = 0 $, ${P_{l,i}} = P_{l,i}^{(0)} $, $ {P_{m,1}} = P_{m,1}^{(0)} $
     (5) while;
     (6) ${c_2} = {c_2} + 1 $
     (7)令${\boldsymbol{ \varPhi}} = {{\boldsymbol{\varPhi}} ^{({c_2} - 1)}} $,求解问题P6,得到${\boldsymbol{W}}_k^{({c_2})} $
     (8)对$ {\boldsymbol{W}}_k^{({c_2})} $进行特征值分解可得${\boldsymbol{w} }_k^{({c_2})}$
     (9)令${ {\boldsymbol{w} }_k} = {\boldsymbol{w} }_k^{({c_2})}$,求解问题P8,得到${{\boldsymbol{V}}^{({c_2})}} $
     (10)对${{\boldsymbol{V}}^{({c_2})}} $进行特征值分解,再对角化得到${{\boldsymbol{\varPhi}} ^{({c_2})}} $
     (11) 由${{\boldsymbol{\varPhi}} ^{({c_2})}} $和${\boldsymbol{w}}_k^{({c_2})} $计算$R_{{\rm{toll}}}^{({c_2})} $
     (12) until ${ {R_{ {\rm{toll} } }^{({c_2})} - R_{ {\rm{toll} } }^{({c_2} - 1)} } / {R_{ {\rm{toll} } }^{({c_2} - 1)} } } \le {\lambda _2}$
     (13) 输出${\boldsymbol{w} }_k^{({c_1})} = {\boldsymbol{w} }_k^{({c_2})}$, $ {{\boldsymbol{\varPhi}} ^{({c_1})}} = {{\boldsymbol{\varPhi}} ^{({c_2})}} $。
     (14)令${{\boldsymbol{w}}_k} = {\boldsymbol{w}}_k^{({c_1})} $, ${\boldsymbol{\varPhi}} = {{\boldsymbol{\varPhi}} ^{({c_1})}} $,求解问题P2,得到$P_{l,i}^{({c_1})} $和
       $P_{m,1}^{({c_1})} $,更新$P_{{\rm{toll} } }^{({c_1})}$。
     (15) until ${ {P_{ {\rm{toll} } }^{({c_1})} - P_{ {\rm{toll} } }^{({c_1} - 1)} } / {P_{ {\rm{toll} } }^{({c_1} - 1)} } } \le {\lambda _1}$
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出版历程
  • 收稿日期:  2023-04-26
  • 修回日期:  2023-07-28
  • 网络出版日期:  2023-08-10
  • 刊出日期:  2024-03-27

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