基于函数拟合AoA任意分布的MIMO信道特征分析

doi:10.13229/j.cnki.jdxbgxb.20211319

摘要/Abstract

摘要：

针对波达信号谱的任意性，采用角度域基函数采样法，建立多入多出（MIMO）天线衰落空间相关性（SFC）计算模型。提出了以基函数展开法，加权叠加形成符合多样无线场景波达信号近似信号到达角（AoA）复杂分布函数，导出了完整理论计算式。并对微蜂窝城市传播信道的实测数据进行了验证和分段指数非线性拟合分析，导出了实测信道下的MIMO SFC的近似拟合解，探讨了基函数采样数和加权系数的选取对计算精度的影响。研究结果表明此拟合法对任意波达信号谱分布和信道实测数据的整合有较高的拟合度，提出的近似算法可准确地拟合MIMO多天线系统的衰落相关信道特征，且能大幅度降低其计算的复杂度，提高运算效率，节省了仿真时间。此法能有效研究MIMO系统在特殊场景中的信道特征，并可推广到在多维空间域中对Massive MIMO的分析。

关键词: 通信技术, 蜂窝城市, 小角度扩展, 大角度扩展, 衰落空间相关性, 指数非线性拟合

Abstract:

In view of the arbitrariness of the arrival signal， adopted the basis function sampling to establish the SFC model of MIMO system. Combined any spectral distribution of the approximate fitting algorithm was proposed， extended the calculation method of small angle spread to equivalently fitting arbitrary distribution. The measured data of urban propagation channel were verified by the piecewise exponential nonlinear fitting analysis. Therefore， the measured channel of MIMO under the approximate fitting solution was carried out， the impact of the sampling number and the weighting coefficient of the basis function on the accuracy was discussed. The research results show that the fitting method has a high degree of fit for the integration of the spectral distribution of the arbitrary arrival signal and the measured channel data. The proposed approximation algorithm can accurately fit the fading-related channel characteristics of the MIMO multi-antenna system， and can greatly reduce the complexity of calculation， improve the computational efficiency and save the simulation time. This method can effectively study the channel characteristics of MIMO systems in special scenarios， and can be extended to the analysis of Massive MIMO in multi-dimensional spatial domains.

Key words: communication technology, microcellular cities, small-angle extension, large-angle extension, spatial fading correlation, exponential nonlinear fitting

中图分类号:

TN92

周杰,王学英,陈钱,罗宏,徐蕾. 基于函数拟合AoA任意分布的MIMO信道特征分析[J]. 吉林大学学报(工学版), 2023, 53(10): 2994-3006.

Jie ZHOU,Xue-ying Wang,Qian CHEN,Hong LUO,Lei XU. MIMO channel Characteristics analysis of AoA arbitrary distribution based on basic function fitting[J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(10): 2994-3006.

图/表 16

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图5

图6

图7

表1

表2

表3

图8

图9

图10

表4

[0，180]区域下各模型绝对误差均值的比较"

简化模型	绝对误差均值
简化模型	$Δ s$ =5°	$Δ s$ =10°	$Δ s$ =15°	$Δ s$ =20°
均匀	0.064 44	0.089 81	0.106 20	0.108 80
高斯	0.007 02	0.023 53	0.044 17	0.064 86
拉普拉斯	0.045 84	0.080 34	0.108 76	0.110 71

表4

表5

[185，225]区域下各模型绝对误差均值的比较"

简化模型	绝对误差均值
简化模型	$Δ s$ =5°	$Δ s$ =10°	$Δ s$ =15°	$Δ s$ =20°
均匀	0.042 87	0.060 51	0.070 76	0.073 52
高斯	0.038 52	0.039 32	0.039 68	0.040 06
拉普拉斯	0.013 47	0.043 05	0.071 83	0.071 88

表5

表6

[235，360]区域下各模型绝对误差均值的比较"

简化模型	绝对误差均值
简化模型	$Δ s$ =5°	$Δ s$ =10°	$Δ s$ =15°	$Δ s$ =20°
均匀	0.064 49	0.089 85	0.106 25	0.108 85
高斯	0.007 03	0.023 55	0.044 21	0.064 90
拉普拉斯	0.045 89	0.080 39	0.108 81	0.110 77

表6

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简化模型	耗时/s
简化模型	N=72	N=36	N=24	N=18
均匀	0.001 276	0.000 865	0.000 918	0.000 899
高斯	0.253 387	0.107 119	0.093 712	0.048 062
拉普拉斯	0.000 906	0.000 604	0.000 717	0.000 758
数值积分	0.108 116	0.117 768	0.151 611	0.104 656

简化模型	耗时/s
简化模型	N=72	N=36	N=24	N=18
均匀	0.001 412	0.000 858	0.000 327	0.000 248
高斯	0.247 855	0.114 981	0.096 95	0.050 790
拉普拉斯	0.000 888	0.000 612	0.000 224	0.000 137
数值积分	0.131 153	0.122 274	0.103 029	0.120 447

简化模型	耗时/s
简化模型	N=72	N=36	N=24	N=18
均匀	0.001 256	0.000 892	0.000 319	0.000 170
高斯	0.232 837	0.104 628	0.085 203	0.048 521
拉普拉斯	0.000 740	0.000 738	0.000 206	0.000 204
数值积分	0.449 152	0.129 627	0.152 446	0.113 273

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