多天线信道空间衰落相关性近似算法及其复杂性研究

周杰; 王亚林; 菊池久和

doi:10.7498/aps.63.230205

摘要

信道空间衰落相关性(SFC)主要取决于波达信号的功率方位谱(PAS)和多天线阵列收发模式. 深入研究了移动通信系统中多天线阵列SFC近似计算法及其复杂性. 首先导出在典型PAS为均匀分布、高斯分布以及拉普拉斯分布下的SFC函数的闭合表达式. 再研究在波达信号PAS小角度扩展时的近似计算法, 建立多输入多输出(MIMO)多天线接收信道模型, 深入分析所选择的天线阵列和电波传播参数对MIMO 系统信道容量的影响. 通过理论计算和仿真实验得出近似计算法在特定条件下具有很好的拟合度, 定量分析了近似计算法在对MIMO多天线系统分析时的适用性和计算效率. 该算法能极大地减低理论计算复杂性, 提高分析和仿真MIMO多天线系统的效率.

关键词:

Abstract

Spatial fading correlation (SFC) mainly depends on power azimuth spectrum (PAS) of arrival signals and the transceiver mode of multi-antenna arrays. This paper investigates in depth the approximate algorithm and its complexity in SFC of multi-antenna arrays in a mobile communication system. First, we derive the closed-form formulas for SFCs under three typical PAS: i. e. a uniform distribution, a Gaussian distribution and a Laplace distribution. Based on these theoretical formulas, we study the approximate algorithm when the angle spread in PAS for arrival signals is small. From this, we develop a multi-antenna reception channel model and analyze in detail the impact of the antenna array and electric wave propagation parameters we choose on the capacity of multiple-input multiple-output (MIMO) channel. By using theoretical calculations and simulation experiments, we find that in a particular situation the approximate algorithm provides a good approximation for SFC. Furthermore, a method is used to quantify the applicability and calculation efficiency while analyzing the MIMO multi-antenna array. Finally, it can be concluded that the approximate method has a good approximation in particular situations, and it will greatly reduce the theoretical computational complexity. The method we suggest will improve the efficiency of analyzing and simulating a complex MIMO multi-antenna system.

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

基金项目: 国家自然科学基金(批准号:61372128,61471153)和江苏省高等学校自然科学基金重大项目(批准号:14KJA510001)资助的课题.

Authors and contacts

1.
School 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) and the Major Program of the Natural Science Foundation of Institution of Higher Education of Jiangsu Province, China (Grant No. 14KJA510001).

参考文献

[1]	Wang R L, Liu M Z, Xiao S, Cai J J, Liu F 2009 Chin. Phys. B 18 5103
[2]	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]
[3]	Intarapanich A, Kafle P L, Davies R J, Sesay A B, Mcrory J G 2007 IEEE Trans. Veh. Technol. 56 3631
[4]	Baltzis K B, Sahalos J N 2009 Wirel. Pers. Commun. 51 329
[5]	Yong S K, Thompson J S 2005 IEEE Trans. Wirel. Commun. 4 2856
[6]	Baltzis K B 2008 J. Eng. Sci. Technol. Rev. 1 83
[7]	Jiang L, Tan S Y 2004 Electron. Lett. 40 1203
[8]	Alsehaili M A S 2010 Ph. D. Dissertation (Canada: University of Manitoba)
[9]	Salz J, Winters J H 1994 IEEE Trans. Veh. Technol. 43 1049
[10]	Tsai J A, Buehrer R M, Woerner B D 2002 IEEE Commun. Lett. 6 178
[11]	Tsai J A, Michael R B, Woerner B D 2004 IEEE Trans. Wirel. Commun. 3 695
[12]	Zhang C, Fei S M, Zhou X P 2012 Chin. Phys. B 21 120101
[13]	Forenza A, Love D J, Heath R W 2007 IEEE Trans. Veh. Technol. 56 1924
[14]	Kong S H 2009 IEEE Trans. Wirel. Commun. 8 2609
[15]	Jaafar I, Boujemaa H, Siala M 2008 Proceeding of International Conference on Signals, Circuits and Systems Ariana, Tunisia, November 7-9, 2008 p1
[16]	Zhou J, Jiang H, Hisakazu K, Shao G F 2014 Acta Phys. Sin. 63 140506 (in Chinese) [周杰, 江浩, 菊池久和, 邵根富 2014 63 140506]
[17]	Khan N M, Simsim M T, Ramer R 2006 The 3rd International Symposium on Wireless Communication Systems Valencia, Spanish, September 6-8, 2006 p616
[18]	Zhou J, Qiu L, Li C, Kikuchi H 2012 IET Commun. 6 2775
[19]	Zhou J, Li C M, Qiu L, Hisakazu K 2012 J. China Univ. Posts Telecommun. 19 1
[20]	Jiang H, Zhou J, Hisakazu K, Shao G F 2014 Acta Phys. Sin. 63 048702 (in Chinese) [江浩, 周杰, 菊池久和, 邵根富 2014 63 048702]

施引文献

[1]	Wang R L, Liu M Z, Xiao S, Cai J J, Liu F 2009 Chin. Phys. B 18 5103
[2]	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]
[3]	Intarapanich A, Kafle P L, Davies R J, Sesay A B, Mcrory J G 2007 IEEE Trans. Veh. Technol. 56 3631
[4]	Baltzis K B, Sahalos J N 2009 Wirel. Pers. Commun. 51 329
[5]	Yong S K, Thompson J S 2005 IEEE Trans. Wirel. Commun. 4 2856
[6]	Baltzis K B 2008 J. Eng. Sci. Technol. Rev. 1 83
[7]	Jiang L, Tan S Y 2004 Electron. Lett. 40 1203
[8]	Alsehaili M A S 2010 Ph. D. Dissertation (Canada: University of Manitoba)
[9]	Salz J, Winters J H 1994 IEEE Trans. Veh. Technol. 43 1049
[10]	Tsai J A, Buehrer R M, Woerner B D 2002 IEEE Commun. Lett. 6 178
[11]	Tsai J A, Michael R B, Woerner B D 2004 IEEE Trans. Wirel. Commun. 3 695
[12]	Zhang C, Fei S M, Zhou X P 2012 Chin. Phys. B 21 120101
[13]	Forenza A, Love D J, Heath R W 2007 IEEE Trans. Veh. Technol. 56 1924
[14]	Kong S H 2009 IEEE Trans. Wirel. Commun. 8 2609
[15]	Jaafar I, Boujemaa H, Siala M 2008 Proceeding of International Conference on Signals, Circuits and Systems Ariana, Tunisia, November 7-9, 2008 p1
[16]	Zhou J, Jiang H, Hisakazu K, Shao G F 2014 Acta Phys. Sin. 63 140506 (in Chinese) [周杰, 江浩, 菊池久和, 邵根富 2014 63 140506]
[17]	Khan N M, Simsim M T, Ramer R 2006 The 3rd International Symposium on Wireless Communication Systems Valencia, Spanish, September 6-8, 2006 p616
[18]	Zhou J, Qiu L, Li C, Kikuchi H 2012 IET Commun. 6 2775
[19]	Zhou J, Li C M, Qiu L, Hisakazu K 2012 J. China Univ. Posts Telecommun. 19 1
[20]	Jiang H, Zhou J, Hisakazu K, Shao G F 2014 Acta Phys. Sin. 63 048702 (in Chinese) [江浩, 周杰, 菊池久和, 邵根富 2014 63 048702]

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