大规模MIMO-TRDMA系统中的改进SOR信号检测算法

doi:10.11959/j.issn.1000-436x.2021205

通信学报 ›› 2021, Vol. 42 ›› Issue (10): 153-161.doi: 10.11959/j.issn.1000-436x.2021205

大规模MIMO-TRDMA系统中的改进SOR信号检测算法

王明月¹^,², 李方伟¹^,², 景小荣¹, 张海波¹^,², 熊军洲¹^,²

¹ 重庆邮电大学通信与信息工程学院，重庆 400065
² 移动通信教育部工程研究中心，重庆 400065

修回日期:2021-10-11 出版日期:2021-10-25 发布日期:2021-10-01
作者简介:王明月（1990- ），女，重庆人，重庆邮电大学博士生，主要研究方向为MIMO技术和时间反演技术
李方伟（1960- ），男，重庆人，博士，重庆邮电大学教授，主要研究方向为无线通信技术和移动通信安全传输技术
景小荣（1974- ），男，甘肃平凉人，博士，重庆邮电大学教授，主要研究方向为无线通信系统中的信号处理技术
张海波（1979- ），男，重庆人，博士，重庆邮电大学副教授，主要研究方向为车联网中的关键传输技术
熊军洲（1985- ），男，湖北武汉人，重庆邮电大学博士生，主要研究方向为时间反演技术和移动通信安全传输技术
基金资助:
国家自然科学基金资助项目(61771084);重庆市教育委员会科学技术基金资助项目(KJQN201800834);重庆市研究生科研创新基金资助项目(CYB21200)

Improved SOR signal detection algorithm in massive MIMO-TRDMA systems

Mingyue WANG¹^,², Fangwei LI¹^,², Xiaorong JING¹, Haibo ZHANG¹^,², Junzhou XIONG¹^,²

¹ School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
² Engineering Research Center of Ministry of Education of Mobile Communication, Chongqing 400065, China

Revised:2021-10-11 Online:2021-10-25 Published:2021-10-01
Supported by:
The National Natural Science Foundation of China(61771084);The Science and Technology Research Pro-gram of Chongqing Municipal Education Commission(KJQN201800834);Chongqing Graduate Scientific Research Innovation Project(CYB21200)

摘要/Abstract

摘要：

在大规模多输入多输出时间反演多址（MIMO-TRDMA, multiple-input multiple-output time-reversal division multiple access）系统中，传统的线性最小均方误差（MMSE, minimum mean square error）算法可获得近似最佳的检测性能。但是，MMSE检测算法所需的矩阵求逆计算复杂度过高，无法确保信号检测的实时处理。针对这一问题，提出一种改进的连续超松弛（SOR, successive over-relaxation）信号检测算法。所提算法通过更新求解线性方程组，避免复杂的矩阵求逆计算；同时，采用最陡下降的思想提高 SOR 更新的搜索效率，以加快收敛速度和提高检测性能。仿真结果表明，所提算法能以较少的更新次数获得与传统 MMSE 算法相当的近似最佳性能，而计算复杂度数量级从O(M³)降低到O(M²)。

关键词: 大规模多输入多输出系统, 时间反演多址接入, 连续超松弛算法, 最陡下降算法

Abstract:

In the massive multi-input multi-output time-reversal division multiple access (MIMO-TRDMA) systems, the traditional linear minimum mean square error (MMSE) algorithm achieved approximately the best performance.However, the matrix inversion of the MMSE algorithm was too complicated to ensure real-time processing of signal detection.To solve this problem, an improved successive over-relaxation (SOR) signal detection optimization algorithm was proposed.The proposed algorithm reasonably upgraded the solution of linear equations to prevent the complicated calculation of matrix inversion.Meanwhile, the steepest descent idea was used to provide an effective search direction for the SOR signal detection algorithm, achieving a rapid convergence rate and stronger inspection performance.The simulation results show that the proposed algorithm has the similar best performance with fewer update times compared with the traditional MMSE algorithm, and the calculation complexity is reduced from O(M³)to O(²).

Key words: massive MIMO, TRDMA, SOR algorithm, SD algorithm

中图分类号:

TN92

王明月, 李方伟, 景小荣, 张海波, 熊军洲. 大规模MIMO-TRDMA系统中的改进SOR信号检测算法[J]. 通信学报, 2021, 42(10): 153-161.

Mingyue WANG, Fangwei LI, Xiaorong JING, Haibo ZHANG, Junzhou XIONG. Improved SOR signal detection algorithm in massive MIMO-TRDMA systems[J]. Journal on Communications, 2021, 42(10): 153-161.

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更新次数	改进SOR算法	SOR算法
k= 3	16M ²+18M	12M ²+12M
k= 4	20M ²+22M	16M ²+16M
k= 5	24M ²+26M	20M ²+20M

大规模MIMO-TRDMA系统中的改进SOR信号检测算法

Improved SOR signal detection algorithm in massive MIMO-TRDMA systems

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