基于两分量广义加权分数傅里叶变换的大规模MIMO波形设计

doi:10.11959/j.issn.1000-436x.2023226

通信学报 ›› 2023, Vol. 44 ›› Issue (12): 216-229.doi: 10.11959/j.issn.1000-436x.2023226

• 学术通信 • 上一篇

基于两分量广义加权分数傅里叶变换的大规模MIMO波形设计

李行健, 宋志群, 李勇, 刘丽哲, 王斌, 汪畅

中国电科网络通信研究院通信网信息传输与分发技术重点实验室，河北石家庄 050081

修回日期:2023-09-18 出版日期:2023-12-01 发布日期:2023-12-01
作者简介:李行健（1992- ），男，甘肃兰州人，博士，中国电科网络通信研究院工程师，主要研究方向为无线通信、大规模MIMO技术等
宋志群（1963- ），男，河北秦皇岛人，博士，中国电科网络通信研究院研究员，主要研究方向为无线通信、5G等
李勇（1985- ），男，河北石家庄人，博士，中国电科网络通信研究院研究员，主要研究方向为通信系统与信号处理技术
刘丽哲（1978- ），女，河北石家庄人，中国电科网络通信研究院研究员，主要研究方向为无线通信、信号处理技术等
王斌（1968- ），男，河北石家庄人，中国电科网络通信研究院研究员，主要研究方向为通信系统与信号处理技术等
汪畅（1995- ），男，安徽宿州人，中国电科网络通信研究院工程师，主要研究方向为无线通信、信号处理技术等
基金资助:
中国博士后科学基金资助项目(2022M712974);通信网信息传输与分发技术重点实验室基金资助项目(FFX22641X022)

Double-component combined generalized weighted fractional Fourier transform based waveform design for massive MIMO

Xingjian LI, Zhiqun SONG, Yong LI, Lizhe LIU, Bin WANG, Chang WANG

Science and Technology on Communication Networks Laboratory, Academy for Network ＆Communications of CETC, Shijiazhuang 050081, China

Revised:2023-09-18 Online:2023-12-01 Published:2023-12-01
Supported by:
The China Postdoctoral Science Foundation Project(2022M712974);The Science and Technology on Communication Networks Laboratory Foundation project(FFX22641X022)

摘要/Abstract

摘要：

针对大规模多输入多输出（MIMO）系统下传统信号分集技术需要牺牲通信速率或频谱等通信资源的缺陷，提出了一种基于两分量广义加权分数傅里叶变换（DCGWFRFT）的波形设计方法。该方法通过引入计算分集的概念，以一定的计算资源为代价提升系统的分集性能，且发送端不需要已知信道状态信息。分析了基于DCGWFRFT的波形的计算分集原理，并根据该原理提出了一种基于DCGWFRFT的波形设计与变换流程，在保持物理层安全特性的基础上提升波形的抗衰落能力。理论分析证明，在无噪声的情况下，所提出的波形设计与变换流程能够完美恢复原始发送信号；在有噪声的情况下，所提出的波形相比于未经变换的波形的误差能量分布更加平均。仿真结果显示，在误码率为10^-3时，基于DCGWFRFT的波形相比于未经变换的波形有至少1.7 dB的比特信噪比性能优势。

关键词: 大规模MIMO, 分集, 两分量广义加权分数傅里叶变换, 波形设计

Abstract:

In order to overcome the drawback of conventional diversity technologies that sacrificing valuable communication resources such as data rate or bandwidth in massive multiple input multiple output (MIMO) systems, a double-component combined generalized weighted fractional Fourier transform (DCGWFRFT) based waveform design method was proposed.The concept of computational diversity was introduced, and the diversity performance was improved via moderate computational resources without requiring channel state information at the transmitter.The principle of computational diversity of DCGWFRFT based waveform was firstly analyzed, and a DCGWFRFT based waveform design and transform process, which could be adopted combined with existing diversity methods, was then proposed according to the principle.Theoretical analysis proves that the proposed waveform design and transform process can perfectly recover the original transmitted signal in noise-free case, and the power of error of proposed waveform is distributed more evenly than that of untransformed waveform in noisy case.Simulation results show that the performance of DCGWFRFT based waveform has an advantage of at least 1.7 dB in bit signal-to-noise ratio compared with untransformed waveform when bit error rate is 10^-3.

Key words: massive MIMO, diversity, DCGWFRFT, waveform design

中图分类号:

TN92

李行健, 宋志群, 李勇, 刘丽哲, 王斌, 汪畅. 基于两分量广义加权分数傅里叶变换的大规模MIMO波形设计[J]. 通信学报, 2023, 44(12): 216-229.

Xingjian LI, Zhiqun SONG, Yong LI, Lizhe LIU, Bin WANG, Chang WANG. Double-component combined generalized weighted fractional Fourier transform based waveform design for massive MIMO[J]. Journal on Communications, 2023, 44(12): 216-229.

图/表 17

图1

图2

图3

图4

图5

表1

QPSK调制方式下θ0的取值范围"

θ₁-θ₀	θ₀
$\frac{π}{2}$	$θ_{0} \neq 2 k π$ ， $θ_{0} \neq - \frac{π}{2} + 2 k π$ ， $θ_{0} \neq - \frac{π}{4} + 2 k π$
$- \frac{π}{2}$	$θ_{0} \neq 2 k π$ ， $θ_{0} \neq \frac{π}{2} + 2 k π$ ， $θ_{0} \neq \frac{π}{4} + 2 k π$

表1

图6

图7

图8

图9

图10

图11

图12

图13

图14

表2

图15

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方法	计算复杂度
原始波形	O(MN ³)
DCGWFRFT波形	O(MN ³+2MN)
SVD	O(2MN ³)
SVD+DCGWFRFT	O(2MN ³+2MN)
GMD-VBLAST	O(2MN ³+(K₁+2)MN²)
GMD-VBLAST+DCGWFRFT	O(2MN ³+(K₂+2)MN²+2MN)

基于两分量广义加权分数傅里叶变换的大规模MIMO波形设计

Double-component combined generalized weighted fractional Fourier transform based waveform design for massive MIMO

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