Abstract
The results of a theoretical analysis and computer simulation of the capacity of a MIMO system under the conditions of spatially correlated fadings are presented. As a result of the theoretical analysis, approximate analytical expressions are obtained for the capacity of the MIMO system radio channel. These expressions make it possible to analytically derive quantitative estimates of the capacity of the MIMO system radio channel for various antenna configurations under the conditions of spatially correlated fadings. The results of the theoretical analysis are confirmed by simulation.
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If H = [h1 h2 ... hM] is a matrix of size N × M, then vec(H) = \({{[{\mathbf{h}}_{1}^{T}\,\,{\mathbf{h}}_{2}^{T}\,\,...\,\,{\mathbf{h}}_{M}^{T}]}^{T}}\) is the column vector of size M · N × 1.
REFERENCES
L. Hanzo, J. Akhtman, L. Wang, et al., MIMO-OFDM for LTE, Wi-Fi and WiMAX. Coherent Versus Non-Coherent and Cooperative Turbo-Trancievers (Wiley, Chichester, 2011).
E. Biglieri, R. Calderbank, A. Constantinides, et al., MIMO Wireless Communication (U.K, Cambridge Univ. Press, Cambridge, 2007).
G. J. Foschini and M. J. Gans, “On limits of wireless communications in a fading environment when using multiple antennas,” Wireless Personal Commun. 6, 311–316 (1998).
Mohinder Jankiraman, Space-Time Codes and MIMO Systems (Artech House, Boston, 2004).
A. van Zelst, “A compact representation of spatial correlation in MIMO radio channels,” in Proc. IEEE 10th Mediterranean Electrotech. Conf. (MELECON), Lemesos, Cyprus, May 29–31, 2000 (IEEE, New York, 2000), Vol. 3, pp. 1218−1225.
Da-Shan Shiu, G. J. Foschini, M. J. Gans, et al. “Fading correlation and its effect on the capacity of multielement antenna systems,” IEEE Trans. Commun. 48, 502–509 (2000).
MIMO System Technology for Wireless Communications, Ed. by G. Tsoulos FL, (CRC Press, Boca Raton, 2006).
Paulraj, Arogyaswami, Rohit Nabar, and Dhananjay Gore, Introduction to Space-Time Wireless Communi-cations (Cambridge Univ., UK, Cambridge, 2003).
J. Boccuzzi, Signal Processing for Wireless Communications (McGraw-hill, New York, 2008).
N. Costa and S. Haykin, Multiple-Input, Multiple-Output Channel Models: Theory and Practice. (Wiley & Sons, 2010).
V. I. Tikhonov, Statistical Radio Engineering (Sovetskoe Radio, Moscow, 1982) [in Russian].
D. Tse and P. Viswanat. Fundamentals of Wireless Communication (Cambridge Univ. Press, U. K., Cambridge, 2005).
H. Ozcelic, M. Herdin, and W. Weichselberger, et al., “Deficiencies of the Kronecker MIMO radio channel model,” IEEE Commun. Lett. 39 (16), 1209–1210 (2003).
J. G. Proakis, Digital Communications (McGraw-Hill, New York, 1989; Radio i Svyaz’, Moscow, 2000).
A. Sibille, C. Oestges, and A. Zanella, MIMO from Theory to Implementation (Elsvier, UK, 2011).
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Vol. 1: Elementary Functions (Nauka, Moscow, 1981; Gordon and Breach, New York, 1986).
V. I. Tikhonov and V. N. Kharisov, Statistical Analysis and Synthesis of Wireless Devices and Systems: School Textbook for College (Radio i Svyaz’, Moscow, 1991) [in Russian].
G. Savo Glisic, Advanced Wireless Communications. 4G Cognitive and Cooperative Broadband Technologies (Wiley, UK, Chichester, 2007).
S. Loyka and G. V. Tsoulos, “Estimating MIMO system performance using the Correlation matrix approach,” IEEE Commun. Lett. 6 (1), 19–21 (2002).
1GP97 Higher Order MIMO Testing with the R&S®SMW200A Vector Signal Generator. http://www.rohde-schwarz.com/en/applications/higher-order-mimo-testing-with-the-r-s-smw200a-vector-signal-generator-application-note_56280-39170.html
C. Oestges, “Validity of the Kronecker model for MIMO correlated channels,” in Proc. IEEE 63rd Vehicular Technol. Conf., 2006 (IEEE, New York, 2006), Vol. 6, pp. 2818−2822.
E. E. Tyrtyshnikov, Matrix Analysis and Linear Algebra (Fizmatlit, Moscow, 2007) [in Russian].
3GPP TS 36.141 V12.3.0 (2014-03). 3rd Generation Partnership Project; Technical Specification Group Radio Access Network; Evolved Universal Terrestrial Radio Access (E-UTRA); Base Station (BS) con-formance testing (Release 12).
J. Choi, Adaptive and Iterative Signal Processing (Cambridge Univ. Press, UK, Cambridge, 2006).
Sassan Ahmadi. LTE-Advanced. A Practical Systems Approach for Understanding the 3GPP Releases 10 and 11 Radio Access Technologies (Elsevier, UK, 2014).
Jerry R. Hampton, Introduction to MIMO Communications (Cambridge Univ. Press, UK, Cambridge, 2014).
F. De Flaviis, L. Jofre, J. Romei, et al., Multiantenna Systems for MIMO Communications (Morgan & Claupool, USA, Boston, 2008).
H. Huang, C. Papadias, and S. Venkatesan, MIMO Communications for Cellular Networks (Springer Science & Business Media, USA, Boston, 2012).
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Kreindelin, V.B., Pankratov, D.Y. Analysis of the Radio Channel Capacity of a MIMO System under the Conditions of Spatially Correlated Fadings. J. Commun. Technol. Electron. 64, 863–869 (2019). https://doi.org/10.1134/S1064226919080242
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DOI: https://doi.org/10.1134/S1064226919080242