三维空间域多普勒功率谱及其多天线系统性能

周杰; 王亚林; 菊池久和

doi:10.7498/aps.63.240507

摘要

在三维(3 dimensional, 3D)空间域信道建模中, 针对波达信号仰角(elevation angle, EA) 在不同覆盖区散射体环境中的分布, 提出了指数型EA仰角概率密度函数并对其信道特征实现建模. 在假设波达信号方位谱为均匀分布时, 采用近似算法在对称和非对称两种情况下导出其多普勒功率谱密度(power spectral density, PSD)闭合表达式. 从分析结果可发现PSD与仰角函数式及波达信号边界角度参数βmin 和βmax关系密切, 并与多普勒频移密切相关. 对该三维空间域中的多输入多输出(multiple input multiple output, MIMO)多天线信号衰落相关性(spatial fading correlation, SFC)进行了推导和仿真. 结果表明MIMO多天线阵元间SFC与βmin和βmax关系密切, 而EA仰角概率密度函数参数n 对SFC影响较小. 本文引入的指数型EA仰角概率密度函数可应用于多种无线通信环境下的信道参数估计, 且与传统模型对比表明本模型的信道参数估计结果符合理论和经验值, 拓展了对3D空间域统计信道的建模与MIMO多天线分析计算.

关键词:

Abstract

In this paper, we develop a series of exponential probability density functions for modeling different distributions of elevation angle (EA) of arrival signals in different tree-dimensional (3D) coverage area scattering environments, and implement the modeling of channel characteristics. First, by assuming that the distribution of azimuth angle is uniform, in this paper the closed-form expressions of power spectrum density (PSD) for both symmetric and asymmetric situations of EA are derived. It can be observed from the analysis results that the PSD is closely correlated to EA function and the boundary angles βmin and βmax of the arrival signals and also to the Doppler shift. Then the spatial fading correlation (SFC) of MIMO multi-antenna signals in 3D environment is derived and simulated. The results show that the SFC between MIMO multi-antenna elements is closely related to βmin and βmax, and the parameter of EA function has little effect on SFC. The exponential EA probability function which is introduced in this paper can be applied to channel parameter estimation of multiple wireless communication environments. Compared with traditional models, this model presents the parameter estimation that satisfies theoretical and empirical values, and this model also expands the modeling of statistical channel in 3D environment.

Keywords:

作者及机构信息

1.
南京信息工程大学电子与信息工程学院, 南京 210044;

2.
日本国立新泻大学工学部电气电子工学科, 新泻 950-2181, 日本

基金项目: 国家自然科学基金(批准号: 61372128, 61471153)、江苏省科技支撑计划(工业)项目(批准号: BE2011195)、江苏省高校自然科学科学研究重大计划项目(批准号: 14KJA510001)和中国博士后基金(批准号: 010986678)资助的课题.

Authors and contacts

1.
College of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China;

2.
Department Of Electronic and Electrical Engineering, Niigata University, Niigata 950-2181, Japan

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61372128, 61471153), the Scientific and Technological Support Project (Industry) of Jiangsu Province, China (Grant No. BE2011195), the Jiangsu Provincial Research Scheme of Natural Science for Higher Education Institute, China (Grant No. 14KJA510001), and the China Postdoctoral Foundation (Grant No. 010986678).

参考文献

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[2]	Petrus P, Reed J H, Rappaport T S 1997 IEEE Commun. Lett. 1 40
[3]	Hu H B, Du P, Huang S H, Wang Y 2013 Chin. Phys. B 22 074703
[4]	Clarke R H 1968 Bell Syst. Tech. J. 47 957
[5]	Ertel R B, Reed J H 1999 IEEE J. Sel. Areas Commun. 17 1829
[6]	Petrus P, Reed J H, Rappaport T S 2002 IEEE Trans. Commun. 50 495
[7]	Lee W C Y, Brandt R H 1973 IEEE Trans. Veh. Technol. 22 110
[8]	Pei F, Zhang J, Pan C 2013 IEEE Veh. Technol. Conf. Las Vegas, America, September 2-5, 2013 p1
[9]	Aulin T 1979 IEEE Trans. Veh. Technol. 28 182
[10]	Parsons J D, Parsons P J D 2000 The Mobile Radio Propagation Channel (New York: John Wiley) pp137-145
[11]	Qu S X, Yeap T 1999 IEEE Trans. Veh. Technol. 48 765
[12]	Du J, Ren D M, Zhao W J, Qu Y C, Chen Z L, Geng L J 2013 Chin. Phys. B 22 024211
[13]	Zhou J, Qiu L, Hisakazu K 2012 IET Commun. 6 2775
[14]	Zhou J, Qiu L, Kikuchi H 2013 J. China Inst. Commun. 34 1 (in Chinese) [周杰, 邱琳, 菊池久和 2013 通信学报 5 1]
[15]	Xiao H L, Ouyang S, Nie Z P 2009 Acta Phys. Sin. 58 6779 (in Chinese) [肖海林, 欧阳缮, 聂在平 2009 58 6779]
[16]	Lee W C Y 1973 IEEE Trans. Wireless Commun. 21 1214
[17]	Yao S C, Fu S N, Zhang M M, Tang M, Shen P, Liu D M 2013 Acta Phys. Sin. 62 144215 (in Chinese) [姚殊畅, 付松年, 张敏明, 唐明, 沈平, 刘德明 2013 62 144215]
[18]	Fu H Y, Chen J J, Cao S K, Jia X D 2011 Acta Electron. Sin. 10 2221 (in Chinese) [傅海阳, 陈技江, 曹士坷, 贾向东 2011 电子学报 10 2221]
[19]	Nie Z P, Xiao H L, Ouyang S 2009 Acta Phys. Sin. 58 3685 (in Chinese) [聂在平, 肖海林, 欧阳缮 2009 58 3685]
[20]	Jeffrey A, Zwillinger D 2007 Table of Integrals, Series, and Products (Russian: Academic Press) pp185-193
[21]	Yong S K, Thompson J S 2005 IEEE Trans. Wireless Commun. 4 2856
[22]	Buyukcorak S, Karabulut K G 2011 IEEE International Conf. on Signal and Commun. Systems Honolulu, America, December 12-14, 2011 p1
[23]	Andersen J B, Pedersen K I 2002 IEEE Trans. Antennas Propag. 50 391
[24]	Buehrer R M 2002 IEEE Veh. Technol. Conf. Vancouver, Canada, September 24-28, 2002 p1173

施引文献

[1]	Cho Y S, Kim J, Yang W Y, Kang C G (translated by Sun K, Huang W) 2013 MIMO-OFDM Wireless Communications with MATLAB (Beijing: Publishing House of Electronic Industry) pp3-17 (in Chinese) [Cho Y S, Kim J, Yang W Y, Kang C G著 (孙锴, 黄威译) 2013 MIMO-OFDM 无线通信技术及MATLAB实现 (北京: 电子工业出版社) 第3–17页]
[2]	Petrus P, Reed J H, Rappaport T S 1997 IEEE Commun. Lett. 1 40
[3]	Hu H B, Du P, Huang S H, Wang Y 2013 Chin. Phys. B 22 074703
[4]	Clarke R H 1968 Bell Syst. Tech. J. 47 957
[5]	Ertel R B, Reed J H 1999 IEEE J. Sel. Areas Commun. 17 1829
[6]	Petrus P, Reed J H, Rappaport T S 2002 IEEE Trans. Commun. 50 495
[7]	Lee W C Y, Brandt R H 1973 IEEE Trans. Veh. Technol. 22 110
[8]	Pei F, Zhang J, Pan C 2013 IEEE Veh. Technol. Conf. Las Vegas, America, September 2-5, 2013 p1
[9]	Aulin T 1979 IEEE Trans. Veh. Technol. 28 182
[10]	Parsons J D, Parsons P J D 2000 The Mobile Radio Propagation Channel (New York: John Wiley) pp137-145
[11]	Qu S X, Yeap T 1999 IEEE Trans. Veh. Technol. 48 765
[12]	Du J, Ren D M, Zhao W J, Qu Y C, Chen Z L, Geng L J 2013 Chin. Phys. B 22 024211
[13]	Zhou J, Qiu L, Hisakazu K 2012 IET Commun. 6 2775
[14]	Zhou J, Qiu L, Kikuchi H 2013 J. China Inst. Commun. 34 1 (in Chinese) [周杰, 邱琳, 菊池久和 2013 通信学报 5 1]
[15]	Xiao H L, Ouyang S, Nie Z P 2009 Acta Phys. Sin. 58 6779 (in Chinese) [肖海林, 欧阳缮, 聂在平 2009 58 6779]
[16]	Lee W C Y 1973 IEEE Trans. Wireless Commun. 21 1214
[17]	Yao S C, Fu S N, Zhang M M, Tang M, Shen P, Liu D M 2013 Acta Phys. Sin. 62 144215 (in Chinese) [姚殊畅, 付松年, 张敏明, 唐明, 沈平, 刘德明 2013 62 144215]
[18]	Fu H Y, Chen J J, Cao S K, Jia X D 2011 Acta Electron. Sin. 10 2221 (in Chinese) [傅海阳, 陈技江, 曹士坷, 贾向东 2011 电子学报 10 2221]
[19]	Nie Z P, Xiao H L, Ouyang S 2009 Acta Phys. Sin. 58 3685 (in Chinese) [聂在平, 肖海林, 欧阳缮 2009 58 3685]
[20]	Jeffrey A, Zwillinger D 2007 Table of Integrals, Series, and Products (Russian: Academic Press) pp185-193
[21]	Yong S K, Thompson J S 2005 IEEE Trans. Wireless Commun. 4 2856
[22]	Buyukcorak S, Karabulut K G 2011 IEEE International Conf. on Signal and Commun. Systems Honolulu, America, December 12-14, 2011 p1
[23]	Andersen J B, Pedersen K I 2002 IEEE Trans. Antennas Propag. 50 391
[24]	Buehrer R M 2002 IEEE Veh. Technol. Conf. Vancouver, Canada, September 24-28, 2002 p1173

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