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Performance analysis of linear MIMO equalizers for multitone DS/SS systems in multipath channels

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Abstract

In [11] the combination of multitone modulation with direct sequence spectrum spreading has been introduced. The performance of a correlation receiver has been evaluated for a multipath channel. In [12] the analysis has been extended to the presence of a multiple access interference. In the present paper we analyze the equalization problem of such a system for a single user scenario. In order to understand the potential of the system we first investigate the steady-state behavior of the MIMO equalizer for an MMSE design. The investigation is carried out for an equalizer following a receiver made of a bank of filters matched to both the symbol shape and the channel, which is a two-path channel. Assuming BPSK symbols an exact expression of the bit error probability before and after equalization is obtained in the form of an integral by means of the characteristic function method. Next adaptive LMS and RLS structures are proposed. The performance of the RLS algorithm is demonstrated.

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References

  1. “COST 207: Digital land mobile radio communications”. Final report, EUR 12160 EN, 1989.

  2. N. C. Beaulieu, “The evaluation of error probabilities for intersymbol and cochannel interference”, IEEE Transactions on Communications, Vol. 39, No. 2, pp. 1740–1749, 1991.

    Google Scholar 

  3. A. Chouly, A. Brajal and S. Jourdan, “Orthogonal multicarrier techniques applied to direct sequence spread spectrum CDMA systems”, Globecom 93 Conf. Rec. Proc, Houston, pp. 1723–1728, November 1993.

  4. A. Duel-Hallen, “Equalizers for multiple input-multiple output channels and PAM systems with cyclostationary input sequences”, IEEE Journal on Selected Areas in Communications, Vol. 10, No. 3, pp. 630–639, 1992.

    Google Scholar 

  5. K. Fazel, “Performance of CDMA/OFDM for mobile communications system”, IEEE Second Int. Conference on Universal Personal Communications Proc, 1993.

  6. S. Haykin, Adaptive Filter Theory, Prentice-Hall International, 1991.

  7. C. W. Helstrom, “Calculating error probabilities for intersymbol and cochannel interference”, IEEE Transactions on Communications, Vol. COM-34, No. 5, pp. 430–435, 1986.

    Google Scholar 

  8. S. Kondo and L. B. Milstein, “Multicarrier CDMA system with co-channel interference cancellation”, VTC '94, Stockholm, Sweden, pp. 1640–1644, 1994.

  9. J. G. Proakis, Digital Communications, New York, McGraw-Hill, 1989.

    Google Scholar 

  10. S. U. H. Qureshi, “Adaptive equalization”, IEEE Proceedings, Vol. 53, pp. 1349–1387, 1985.

    Google Scholar 

  11. L. Vandendorpe, “Multitone spread spectrum communications system in a multipath Rician fading channel”, IEEE International Zurich Seminar 1994, Lecture Notes in Computer Science, Zurich, pp. 440–451, 1994.

  12. L. Vandendorpe, “Multitone spread spectrum multiple-access communications system in a multipath Rician fading channel”, ICC'94, New Orleans, pp. 1638–1641, 1994.

  13. L. Vandendorpe, “Multitone spread spectrum multiple-access communications system in a multipath Rician fading channel”, IEEE Transactions of Vehicular Technology, Vol. 44, No. 2, pp. 327–337, 1995.

    Google Scholar 

  14. O. van de Wiel and L. Vandendorpe, “A comparison between RLS and LMS linear equalization for OFDM/DS transmission in an indoor environment”, Third Mini Conference on Communications Theory in conjunction with Globecom, San Francisco, pp. 71–75, 1994.

  15. N. Yee and J.-P. Linnartz, “Controlled equalization of multi-carrier CDMA in indoor Rician fading channel”, VTC '94, Stockholm, Sweden, pp. 1665–1669, June 1994.

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This author would like to thank the Belgian NSF for its financial support.

This author is a Research assistant of FRIA.

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Vandendorpe, L., Van De Wiel, O. Performance analysis of linear MIMO equalizers for multitone DS/SS systems in multipath channels. Wireless Pers Commun 2, 145–165 (1995). https://doi.org/10.1007/BF01099535

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