Wireless Personal Communications

, Volume 40, Issue 3, pp 317–328 | Cite as

Effect of Signal and Noise Mutual Coupling on MIMO Channel Capacity

  • Snezana M. Krusevac
  • Rodney A. Kennedy
  • Predrag B. Rapajic
Article

Abstract

In this paper we analyze the impact of mutual coupling on MIMO channel capacity, considering its effect on both signal and thermal noise. We calculate noise correlation matrix in the multi-antenna system with closely spaced antenna by applying Nyquist’s thermal noise theorem. Then, we employ the noise correlation matrix in the channel capacity formula, which enables the identification of thermal noise correlation contribution on the MIMO channel capacity. In addition, we examine the variations in the mean branch signal-to-noise ratios (SNR) due to the noise correlation. Our simulation results corroborate the theoretical analysis that mean and outage MIMO channel capacity is underestimated if noise correlation due to mutual coupling effect is not accounted for.

Keywords

mutual coupling thermal noise MIMO channel capacity 

References

  1. 1.
    Foschini G., (Mar1998): “On Limits of Wireless Communication in Fading Environment when Using Multiple Antennas”. Wireless Personal Commun. 6, 311–355CrossRefGoogle Scholar
  2. 2.
    Gupta I.J., Ksienski A.K., (Sep1983): “Effect of the Mutual coupling on the Performance Of the Adaptive Arrays”. IEEE Trans. Antenna Propagat 31(5): 785–791CrossRefGoogle Scholar
  3. 3.
    T. Sventenson, A. Ranheim, “Mutual coupling effects on the capacity of the multielement antenna system”, in Proc. IEEE ICASSP’2001, Salt Lake City, UT, 2001, pp. 2485–2488.Google Scholar
  4. 4.
    B. Clerckx, D. Vanhonacker-Janvier, C. Oestegs and L. Vanderdorpe, “Mutual Coupling Effect on the Channel Capacity on the Space-time Processing of MIMO Communication Systems”, in Proc. IEEE International Conference on Communications, (ICC’03), Anchorage, AK, May 2003, pp. 2638–2642.Google Scholar
  5. 5.
    Janaswamy R., (2002): “Effects of Element Mutual Coupling on the Capacity of Fixed Length Linear Arrays”. IEEE Antennas Wirless Propagat. Lett. 1, 157–160CrossRefGoogle Scholar
  6. 6.
    Jungnickel V., Pohl V., von Helmolt C., (Aug2003):“Capacity of MIMO Systems with Closely Spaced Antennas”. IEEE Commun. Lett 7(8): 361–363CrossRefGoogle Scholar
  7. 7.
    Ozdemir M., Arvas E., Arslan H., (June2004): “Dynamics of Spatial Correlation and Implications on MIMO systems”. IEEE Commun. Mag 42(6): S14–S19Google Scholar
  8. 8.
    Waldschmidt C., Schulteis S., Wiesbeck W., (May2004): “Complete RF System Model for Analysis of Compact MIMO arrays”. IEEE Trans. Veh. Technol. 53(3): 579–586CrossRefGoogle Scholar
  9. 9.
    Wallace J.W., Jensen M.A., (July2004): “Mutual Coupling in MIMO Wireless Systems: A rigorous Network Theory Analysis”. IEEE Trans. Wireless. Commun 3(4): 1317–1325CrossRefGoogle Scholar
  10. 10.
    M.L. Morris and M.A. Jensen, “Network Model for MIMO Systems with Coupled Antennas and Noisy Amplifiers”, IEEE Trans. Antennas Propagat., Vol. 53, issue 1, part 2, pp. 545–552, Jan. 2005.Google Scholar
  11. 11.
    Rytov S.M., Yu., Krastov A., Tatarskii V.I., (1987). “Principles of Statistical Radiophysics 3: Elements of Random Fields”. Springer, Berlin Heidelberg NewYorkGoogle Scholar
  12. 12.
    Twiss R.Q., (May1955):“Nyquist’s and Thevenin’s Generalized for Nonreciprocal Linear networks”. J. Applied Phys. 26, 559–602MathSciNetGoogle Scholar
  13. 13.
    Shiu D., Foschini G., Gans M., Kahn J., (Mar2000): “Fading correlation and its effect on the capacity of multi-element antenna system”. IEEE Trans. Commun. 48, 502–513CrossRefGoogle Scholar
  14. 14.
    George Valley E., Henry Wallman Jr., (1948). Vacuum Tube Amplifier, Volume 18 of MIT Radiation Laboratory Series. McGraw-Hill, New YorkGoogle Scholar
  15. 15.
    Rapajic P., (1999): “Information Capacity of the Space Division Multiple Access Mobile Communication System”. Wireless Personal Communication 50, 131–159CrossRefGoogle Scholar
  16. 16.
    L. Schumacher, K.I. Pedersen and P.E. Mogensen, “From Antenna Spacings to Theoretical Capacities - Guidelines for Simulating MIMO Systems”, in Proc. IEEE Int. Symp. On Personal Indoor Mobile and Radio Commun.- PIMRC, Lisbon, Portugal, Vol. 2, pp. 578–502, Sep. 2002.Google Scholar
  17. 17.
    S. Krusevac, P.B. Rapajic and R.A. Kennedy, “Mutual Coupling Effect on Thermal Noise in Multi-element Antenna Systems”, Progress In Electromagnetics Research (PIER), PIER 59, pp. 325–333, 2006.Google Scholar
  18. 18.
    SONNET, Full wave 3D electromagnetic simulator, www.sonnet.comGoogle Scholar
  19. 19.
    Gesbert D., Bolcskei H., Gore D., Paulraj A., (2002): “Outdoor MIMO Wireless Channel: Model and Performance”. IEEE Trans. Commun. 50(12): 1926–1935Google Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • Snezana M. Krusevac
    • 1
  • Rodney A. Kennedy
    • 1
  • Predrag B. Rapajic
    • 2
  1. 1.Research School of Information Science and EngineeringThe Australian National University and National ICT AustraliaCanberraAustralia
  2. 2.University of GreenwichChatham MaritimeUnited Kingdom

Personalised recommendations