Skip to main content
Log in

Abstract

By using a fair comparison method we show that contrary to the general belief the conventional LMS, when in training mode, does not necessarily outperform the popular blind LMS (BLMS). With the help of a constrained MMSE criterion we identify the correct trained version which is guaranteed to have uniformly superior performance over BLMS since it maximizes the SIR over an algorithmic class containing BLMS. Because the proposed optimum trained version requires knowledge of the amplitude of the user of interest we also present simple and efficient techniques that estimate the amplitude in question. The resulting algorithm in both modes, training and decision directed, is significantly superior to BLMS.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Honig and H.V. Poor, “Adaptive Interference Suppression,” in Wireless Communications: Signal Processing Perspectives, H.V. Poor and G.W. Wornell (Eds.), Upper Saddle River, NJ: Prentice Hall, 1998, Ch. 2, pp. 64-128.

    Google Scholar 

  2. U. Madhow and M. Honig, “MMSE Interference Suppression for Direct Sequence Spread Spectrum CDMA,” IEEE Trans. Commun., vol. COM-42, Dec. 1994, pp. 3178-3188.

    Article  Google Scholar 

  3. U. Madhow, “Blind Adaptive Interference Suppression for Direct-Sequence CDMA,” in Proceedings of IEEE, Oct. 1998, vol. 86,no. 10, pp. 2049-2069.

    Article  Google Scholar 

  4. S.L. Miller, “An Adaptive Direct Sequence Code Division Multiple Access Receiver for Multiuser Interference Rejection,” IEEE Trans. Commun., vol. COM-33, 1995, pp. 1746-1755.

    Article  Google Scholar 

  5. H.V. Poor and S. Verdú, “Probability of Error in MMSE Multiuser Detection,” IEEE Trans. Inf. Theory, vol. 43,no. 2, May 1997, pp. 858-871.

    Article  MATH  Google Scholar 

  6. S. Roy, “Subspace Blind Adaptive Detection for Multiuser CDMA,” IEEE Trans. Commun., vol. 48,no. 1, Jan. 2000, pp. 169-175.

    Article  Google Scholar 

  7. J.B. Schodorf and D.B. Douglas, “A Constraint Optimization Approach to Multiuser Detection,” IEEE Trans. Sign. Process., vol. SP-45,no. 1, Jan. 1997, pp. 258-262.

    Article  Google Scholar 

  8. X. Wang and H.V. Poor, “Blind Multiuser Detection: A Subspace Approach,” IEEE Trans. Inform. Theory, vol. IT-44,no. 2, March 1998, pp. 667-690.

    MathSciNet  Google Scholar 

  9. Z. Xie, R.T. Short, and C.K. Rushforth, “A Family of Suboptimum Detectors for Coherent Multiuser Communications,” IEEE J. Selec. Areas Commun., vol. 8, May 1990, pp. 683-690.

    Article  Google Scholar 

  10. S. Verdú, Multiuser Detection, New York: Cambridge University Press, 1998.

    MATH  Google Scholar 

  11. G.V. Moustakides and H.V. Poor, “On the Relative Error Probabilities of Linear Multiuser Detectors,” IEEE Trans. Inform. Theory, vol. 47,no. 1, Jan. 2001, pp. 450-456.

    Article  MathSciNet  MATH  Google Scholar 

  12. M. Honig, U. Madhow, and S. Verdú, “Blind Multiuser Detection,” IEEE Trans. Inform. Theory, vol. IT-41, July 1995, pp. 944-960.

    Article  Google Scholar 

  13. A. Benveniste, M. Métivier, and P. Priouret, Adaptive Algorithms and Stochastic Approximation. Berlin: Springer, 1990.

    Book  Google Scholar 

  14. J.A. Bucklew, T.G. Kurtz, and W.A. Sethares, “Weak Convergence and Local Stability Properties of Fixed Step Size Recursive Algorithms,” IEEE Trans. Inform. Theory, vol. IT-39,no. 3, May 1993, pp. 966-978.

    Article  MathSciNet  Google Scholar 

  15. G.V. Moustakides, “Locally Optimum Signal Processing Adaptive Estimation Algorithms,” IEEE Trans. Signal Process., vol. SP-46,no. 12, Dec. 1998, pp. 3315-3325.

    Article  Google Scholar 

  16. V. Solo and X. Kong, Adaptive Signal Processing Algorithms, Stability and Performance, Englewood Cliffs, NJ: Prentice Hall, 1995.

    Google Scholar 

  17. S. Haykin, Adaptive Algorithms, 3rd edn., Upper Saddle River, NJ: Prentice Hall, 1997.

    Google Scholar 

  18. R. Lupas and S. Verdú, “Linear Multiuser Detectors for Synchronous Code-Division Multiple-Access Channels,” IEEE Trans. Inform. Theory, vol. IT-35, Jan. 1989, pp. 123-136.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moustakides, G.V. Constrained Adaptive Linear Multiuser Detection Schemes. The Journal of VLSI Signal Processing-Systems for Signal, Image, and Video Technology 30, 293–309 (2002). https://doi.org/10.1023/A:1014019530351

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1014019530351

Keywords

Navigation