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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.
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Keywords:
- multiple input multiple output /
- power azimuth spectrum /
- spatial fading correlation /
- correlation matrix
[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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[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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