Wireless Personal Communications

, Volume 28, Issue 4, pp 287–312 | Cite as

Orthogonal Space-Time Block Codes with Feedback

  • Girish Ganesan
  • Petre Stoica
  • Erik G. Larsson
Article

Abstract

In this paper we consider how Orthogonal Space-Time Block Codes (OSTBC) can be used in the presence of feedback from the receiver to the transmitter. First, we survey how some of the feedback techniques for AWGN channels with fading can be applied to OSTBC. Then we consider a simple scheme with diagonal weighting. The optimal diagonal weighting matrix, which minimizes the probability of error, is derived. The optimal weights depend on the channel and, hence, a feedback becomes necessary. However, the required feedback can be accomplished using log2 (nt) bits, where nt is the number of transmit antennas. Simulations show that relatively significant gains can be achieved with the diagonal weighting scheme.

In a practical system it is quite possible that the bits that are fed back to the transmitter are in error. In that case we show that there will be a loss of diversity. To overcome this loss, we develop weighting schemes that are error tolerant and always perform better than the unweighted OSTBC (even in the presence of feedback errors).

space-time block codes orthogonal designs channel feedback diversity 

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References

  1. 1.
    S.M. Alamouti, “A Simple Transmit Diversity Technique for Wireless Communication”, IEEE Jl. on Select Areas in Comm., Vol. 16, pp. 1451–1458, 1998.Google Scholar
  2. 2.
    G. Caire and S. Shamai, “On the Capacity of Some Channels with Channel State Information”, IEEE Transactions on Information Theory, Vol. 45, pp. 2007–2019, 1999.MathSciNetGoogle Scholar
  3. 3.
    T. Derryberry, S.D. Gray, D.M. Ionescu, G. Mandyam and B. Raghothaman, “Transmit Diversity in 3G CDMA Systems”, IEEE Communications Magazine, Vol. 40, pp. 68–75, 2002.CrossRefGoogle Scholar
  4. 4.
    G. Ganesan and P. Stoica, “Achieving Optimum Coded Diversity With Scalar Codes”, IEEE Transactions on Information Theory, Vol. 47, pp. 2078–2080, 2001.MathSciNetGoogle Scholar
  5. 5.
    G. Ganesan and P. Stoica, “Space-Time Block Codes: A Maximum SNR Approach”, IEEE Transactions on Information Theory, Vol. 47, pp. 1650–1656, 2001.MathSciNetGoogle Scholar
  6. 6.
    G. Ganesan and P. Stoica, “Utilizing Space-Time Diversity forWireless Communications”, Wireless PersonalCommunications, Vol. 18, pp. 149–163, 2001.Google Scholar
  7. 7.
    G. Ganesan, P. Stoica and E.G. Larsson, “Diagonally weighted orthogonal space-time block codes”, in The 36th Annual Conference on Signals, Systems and Computers, Vol. 2 (Asilomar, Pacific Grove, CA), pp. 1147–1151, 2002.Google Scholar
  8. 8.
    A.J. Goldsmith and P.P. Varaiya, “Capacity of Fading Channels with Channel Side Information”, IEEE Transactions on Information Theory, Vol. 43, pp. 1986–1992, 1997.CrossRefMathSciNetGoogle Scholar
  9. 9.
    G. Jöngren, M. Skoglund and B. Ottersten, “Combining Beamforming and Orthogonal Space-Time Block Coding”, IEEE Transactions on Information Theory, Vol. 48, pp. 611–627, 2002.Google Scholar
  10. 10.
    E.G. Larsson, G. Ganesan, P. Stoica and W.H. Wong, “On the Performance of Orthogonal Space-Time Block Coding With Quantized Feedback”, IEEE Communications Letters, Vol. 6, pp. 487–489, 2002.CrossRefGoogle Scholar
  11. 11.
    A. Narula, M.J. Lopez, M.D. Trott and G.W. Wornell, “Efficient Use of Side Information in Multiple-Antenna Data Transmission over Fading Channels”, IEEE Journal on Selected Areas in Communications, Vol. 16, pp. 1423–1436, 1998.CrossRefGoogle Scholar
  12. 12.
    A. Papoulis, “Probability, Random Variables and Stochastic Processes”, New York: McGraw-Hill, 1991.Google Scholar
  13. 13.
    J.G. Proakis, “Digital Communications”, New York: McGraw-Hill, 1989.Google Scholar
  14. 14.
    V. Tarokh, H. Jafarkhani and A.R. Calderbank, “Space-Time Block Codes from Orthogonal Designs”, IEEE Trans. on Info. Theory, Vol. 45, pp. 1456–1467, 1999.MathSciNetGoogle Scholar
  15. 15.
    V. Tarokh, N. Seshadri and A.R. Calderbank, “Space-Time Codes for High Data Rate Wireless Communication: Performance Criterion and Code Construction”, IEEE Trans. on Info. Theory, Vol. 44, pp. 744–765, 1998.MathSciNetGoogle Scholar
  16. 16.
    E. Visotsky and U. Madhow, “Space-Time Transmit PrecodingWith Imperfect Feedback”, IEEE Transactions on Information Theory, Vol. 47, pp. 2632–2639, 2001.MathSciNetGoogle Scholar

Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Girish Ganesan
    • 1
  • Petre Stoica
    • 1
  • Erik G. Larsson
    • 1
  1. 1.Department of Systems and ControlUppsala UniversityUppsalaSweden

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