Skip to main content
Log in

Analysis of the Radio Channel Capacity of a MIMO System under the Conditions of Spatially Correlated Fadings

  • DATA TRANSMISSION IN COMPUTER NETWORKS
  • Published:
Journal of Communications Technology and Electronics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.

Similar content being viewed by others

Notes

  1. 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

  1. 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).

    Google Scholar 

  2. E. Biglieri, R. Calderbank, A. Constantinides, et al., MIMO Wireless Communication (U.K, Cambridge Univ. Press, Cambridge, 2007).

  3. 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).

    Article  Google Scholar 

  4. Mohinder Jankiraman, Space-Time Codes and MIMO Systems (Artech House, Boston, 2004).

    Google Scholar 

  5. A. van Zelst, “A compact representation of spatial correlation in MIMO radio channels,” in Proc. IEEE 10th Mediterranean Electrotech. Conf. (MELECON), Lemesos, Cyprus, May 2931, 2000 (IEEE, New York, 2000), Vol. 3, pp. 1218−1225.

  6. 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).

    Article  Google Scholar 

  7. MIMO System Technology for Wireless Communications, Ed. by G. Tsoulos FL, (CRC Press, Boca Raton, 2006).

  8. Paulraj, Arogyaswami, Rohit Nabar, and Dhananjay Gore, Introduction to Space-Time Wireless Communi-cations (Cambridge Univ., UK, Cambridge, 2003).

    Google Scholar 

  9. J. Boccuzzi, Signal Processing for Wireless Communications (McGraw-hill, New York, 2008).

    Google Scholar 

  10. N. Costa and S. Haykin, Multiple-Input, Multiple-Output Channel Models: Theory and Practice. (Wiley & Sons, 2010).

  11. V. I. Tikhonov, Statistical Radio Engineering (Sovetskoe Radio, Moscow, 1982) [in Russian].

    Google Scholar 

  12. D. Tse and P. Viswanat. Fundamentals of Wireless Communication (Cambridge Univ. Press, U. K., Cambridge, 2005).

    Book  Google Scholar 

  13. 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).

  14. J. G. Proakis, Digital Communications (McGraw-Hill, New York, 1989; Radio i Svyaz’, Moscow, 2000).

  15. A. Sibille, C. Oestges, and A. Zanella, MIMO from Theory to Implementation (Elsvier, UK, 2011).

    Google Scholar 

  16. 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).

  17. 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].

    Google Scholar 

  18. G. Savo Glisic, Advanced Wireless Communications. 4G Cognitive and Cooperative Broadband Technologies (Wiley, UK, Chichester, 2007).

    Google Scholar 

  19. S. Loyka and G. V. Tsoulos, “Estimating MIMO system performance using the Correlation matrix approach,” IEEE Commun. Lett. 6 (1), 19–21 (2002).

  20. 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

  21. 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.

  22. E. E. Tyrtyshnikov, Matrix Analysis and Linear Algebra (Fizmatlit, Moscow, 2007) [in Russian].

    Google Scholar 

  23. 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).

  24. J. Choi, Adaptive and Iterative Signal Processing (Cambridge Univ. Press, UK, Cambridge, 2006).

    Book  Google Scholar 

  25. Sassan Ahmadi. LTE-Advanced. A Practical Systems Approach for Understanding the 3GPP Releases 10 and 11 Radio Access Technologies (Elsevier, UK, 2014).

    Google Scholar 

  26. Jerry R. Hampton, Introduction to MIMO Communications (Cambridge Univ. Press, UK, Cambridge, 2014).

    Google Scholar 

  27. F. De Flaviis, L. Jofre, J. Romei, et al., Multiantenna Systems for MIMO Communications (Morgan & Claupool, USA, Boston, 2008).

    Book  Google Scholar 

  28. H. Huang, C. Papadias, and S. Venkatesan, MIMO Communications for Cellular Networks (Springer Science & Business Media, USA, Boston, 2012).

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to V. B. Kreindelin or D. Yu. Pankratov.

Additional information

Translated by A. Klimontovich

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226919080242

Keywords:

Navigation