公平性驱动的RSMA-SDMA预编码设计

doi:10.11959/j.issn.1000-436x.2022085

通信学报 ›› 2022, Vol. 43 ›› Issue (4): 177-185.doi: 10.11959/j.issn.1000-436x.2022085

公平性驱动的RSMA-SDMA预编码设计

孙彦景¹^,²^,³^,⁴, 程枫陟¹, 周家思¹, 李松¹^,³

¹ 中国矿业大学信息与控制工程学院，江苏徐州 221116
² 徐州智能安全与应急协同工程研究中心，江苏徐州 221008
³ 中国矿业大学人工智能研究院，江苏徐州 221008
⁴ 中国矿业大学信息化建设与管理处，江苏徐州 221008

修回日期:2022-03-28 出版日期:2022-04-25 发布日期:2022-04-01
作者简介:孙彦景（1977- ），男，山东滕州人，博士，中国矿业大学教授、博士生导师，主要研究方向为工业物联网、无线通信
程枫陟（1996- ），男，山东济宁人，中国矿业大学硕士生，主要研究方向为速率分拆多址技术、涡旋波通信技术
周家思（1993- ），男，安徽淮北人，中国矿业大学博士生，主要研究方向为 MIMO无线通信、速率分拆多址技术
李松（1985- ），男，山东济宁人，博士，中国矿业大学副教授，主要研究方向为B5G/6G移动通信、智能工业物联网
基金资助:
国家自然科学基金资助项目(62071472);中央高校基本科研业务费专项资金资助项目(2020ZDPY0304)

Design of fairness-driven RSMA-SDMA precoding

Yanjing SUN¹^,²^,³^,⁴, Fengzhi CHENG¹, Jiasi ZHOU¹, Song LI¹^,³

¹ School of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, China
² Xuzhou Intelligent Safety and Emergency Collaborative Engineering Research Center, Xuzhou 221008, China
³ Artificial Intelligence Joint Laboratory, China University of Mining and Technology, Xuzhou 221008, China
⁴ Information Construction and Management Office, China University of Mining and Technology, Xuzhou 221008, China

Revised:2022-03-28 Online:2022-04-25 Published:2022-04-01
Supported by:
The National Natural Science Foundation of China(62071472);The Fundamental Research Funds for the Central Universities(2020ZDPY0304)

摘要/Abstract

摘要：

针对在发射功率受限时系统最小用户速率与系统公平性问题，提出了一种联合速率分拆多址接入（RSMA）和空分多址接入（SDMA）的用户接入方式选择传输策略，并建模了最大化系统公平性预编码设计问题。为解决建模所形成的离散非凸优化问题，将其分解为求解外层用户接入方式选择与内层最优预编码设计2个非凸子问题。针对预编码设计优化，利用二次变换的多比率分式规划将预编码设计问题转化为双层轮换问题，对用户接入方式逐次优化，得到了外层用户接入方式选择最优解的闭式表达式；以凸优化解决内层预编码设计问题，逐次优化用户接入方式选择传输策略，提出基于分式优化的预编码设计算法，利用二次变换的多比率分式规划设计最优预编码向量，求解功率受限下最大化最小用户速率。仿真结果表明，相比于RSMA、SDMA等传输策略，公平性驱动的RSMA-SDMA预编码设计提升了系统最小用户速率，保障了系统公平性。

关键词: RSMA-SDMA, 预编码设计, 系统公平性, 双层轮换

Abstract:

In view of the minimum user rate and system fairness when the transmit power was limited, a user access mode selection transmission strategy by joint rate-splitting multiple access (RSMA) and space division multiple access (SDMA) was proposed.The precoding design problem of maximizing system fairness was modeled.In order to solve the discrete non-convex optimization problem formed, it was decomposed into two non-convex sub-problems, such as the user access mode selection and the inner optimal precoding design.For the precoding design, a quadratic transform of multidimensional and complex FP was used to transform the precoding design into double rotation, and the closed-form expression of the optimal solution for the outer user access mode selection was obtained.Convex optimization was used to solve the inner precoding design problem, and successively optimize the user access mode selection.An algorithm based on fractional optimization was proposed for the problem, and the optimal precoding vector was designed using the quadratic transform of multidimensional and complex FP to maximize the minimum user rate under power constraints.The simulation results prove that compared with RSMA, SDMA and other transmission strategies, the fairness-driven RSMA-SDMA precoding design improves the minimum user rate of the system and guarantees the system fairness.

Key words: RSMA-SDMA, precoding design, system fairness, double rotation

中图分类号:

TN929.53

孙彦景, 程枫陟, 周家思, 李松. 公平性驱动的RSMA-SDMA预编码设计[J]. 通信学报, 2022, 43(4): 177-185.

Yanjing SUN, Fengzhi CHENG, Jiasi ZHOU, Song LI. Design of fairness-driven RSMA-SDMA precoding[J]. Journal on Communications, 2022, 43(4): 177-185.

图/表 7

图1

表1

系统变量"

变量	含义
K	系统用户数
L	基站天线数
δ_k	用户多址接入方式指示变量
Δ	系统多址接入方式指示向量
s^c	系统公共部分信息
$s_{k}^{p}$	用户私有部分信息
$w^{c}$	系统公共预编码矢量
$w_{k}^{p}$	用户私有预编码矢量
$w$	系统预编码矩阵
$γ_{k}^{c}$	用户公共部分SINR
$γ_{k}^{p}$	用户私有部分SINR
$R_{k}^{c}$	用户公共可达和速率
$R_{k}^{p}$	用户私有速率
${\hat{C}}_{k}^{c}$	用户公共可达速率
$C_{k}^{c}$	用户公共速率
$C$	系统公共速率分配矩阵
R^c	系统最小公共可达和速率
R_k,tot	用户总速率
P₀	系统总发射功率
P_th	系统总功率
r	用户公平速率

表1

图2

图3

图4

图5

图6

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公平性驱动的RSMA-SDMA预编码设计

Design of fairness-driven RSMA-SDMA precoding

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