Skip to main content
Log in

SVD-based MIMO Precoding and Equalization Schemes for Realistic Channel Knowledge: Design Criteria and Performance Evaluation

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

Multiple-input multiple-output (MIMO) based communication systems with precoding, bit-loading and equalization procedures are considered in this paper. Applications of precoding schemes, which are based on Singular Value Decomposition (SVD) of the channel matrix H assume almost always ideal channel knowledge at the transmitter and/or receiver site. This paper investigates an SVD based MIMO approach considering non ideal radio channel estimation results. In any case the MIMO channel matrix H is decomposed into Eigenmodes. In case of an ideal radio channel knowledge the SVD based precoding procedure, which is applied at the transmitter site, is going to consider all possible Eigenmodes which results in a perfect separation of all signals at the receive antenna output and into a minimum bit-error-rate (BER). It will be shown in this paper that in case of non ideal channel knowledge and a limited accuracy in the channel matrix H estimation a reduced number of Eigenmodes in the precoding process will become an optimum and will lead into an increased BER performance.

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.

Similar content being viewed by others

References

  1. Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P. (1992) Numerical recipes in C—The art of scientific computing. Cambridge University Press, USA

    MATH  Google Scholar 

  2. Golub G.H., Van Loan C.F. (1996) Matrix computations. The John Hopkins University Press, Baltimore and London

    MATH  Google Scholar 

  3. Rohling, H., Galda, D., & Gruenheid, R. (2002). OFDM: a flexible and adaptive air interface for a 4G mobile communication system. In Proceedings of the International Conference on Telecommunications (ICT) 2002, Beijing, June 2002.

  4. Rohling H., May T., Brueninghaus K., Gruenheid R. (1999). Broad-band OFDM radio transmission for multimedia applications. In Proceedings of the IEEE, 87(10), 1778–1789

  5. Tse D., Viswanath P. (2005) Fundamentals of wireless communications. Cambridge University Press, UK

    Google Scholar 

  6. Proakis J.G. (2001) Digital communications (Issue 4). Mc Graw Hill, New York

    Google Scholar 

  7. Chow P.S., Cioffi J.M., Bingham J.A.C. (1995) A practical discrete multitone transceiver loading algorithm for data transmission over spectrally shaped channels. IEEE Transactions on Communications 43(234): 773–775

    Article  Google Scholar 

  8. Fischer, R. F. H., & Huber, J. B. (1996). A new loading algorithm for discrete multitone transmission. In Global Telecommunications Conference, Communications: The Key to Global Prosperity, Volume 1, pp. 724–728, 18–22 Nov. 1996

  9. Cioffi, J. M. (1991). A multicarrier primer. Amati Communication Corporation and Stanford University, T1E1.4/97-157, November 1991.

  10. Zamiri-Jafarian, H., Gulak, P. G. (2005). Adaptive channel SVD estimation for MIMO-OFDM systems. In IEEE 61st Semiannual Vehicular Technology Conference. Stockholm, Sweden, May 30–June 1, 2005.

  11. Coleri S., Ergen M., Puri A., Bahai A. (2002) Channel estimation techniques based on pilot arrangement in OFDM systems. IEEE Transactions on Broadcasting 48(3): 223–229

    Article  Google Scholar 

  12. Zamiri-Jafarian, H., & Gulak, P. G. (2005). Iterative MIMO channel SVD estimation. In IEEE International Conference on Communications. Seoul(Korea), May 16–20, 2005.

  13. Pascual-Iserte A., Palomar D.P., Perez-Neira A.I., Lagunas M.A. (2006) A robust maximin approach for MIMO communications with imperfect channel state information based on convex optimization. IEEE Transactions on Signal Processing 54(1): 346–360

    Article  Google Scholar 

  14. Pascual-Iserte, A., Perez-Neira, A. L., & Lagunas, M. A. (2004). A maximin approach for robust MIMO design: combining OSTBC and beamforming with minimum transmission power requirements. In IEEE International Conference on Acoustics, Speech, and Signal Processing, Proceedings (ICASSP ’04), Vol. 2, pp. ii–1–4, vol. 2, 17–21 May 2004.

  15. Sadowsky J.S., Kafedziki V. (1998) On the correlation and scattering functions of the wssus channel for mobile communication. IEEE Transactions on Vehicular Technology 47(1): 270–282

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Holger Busche.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Busche, H., Vanaev, A. & Rohling, H. SVD-based MIMO Precoding and Equalization Schemes for Realistic Channel Knowledge: Design Criteria and Performance Evaluation. Wireless Pers Commun 48, 347–359 (2009). https://doi.org/10.1007/s11277-008-9526-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-008-9526-x

Keywords

Navigation