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Performance of MIMO System Through Nakagami Fading Channel with Arbitrary Fading Parameters

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Abstract

In this paper, the analytical and simulation results of the bit error rate (BER) performance for a multiple-input multiple-output (MIMO) system with an arbitrary number of transmit and receive antennas are developed for the uplink transmission. The fading channel is assumed to follow Nakagami-m distribution with correlation among branches. The BER is expressed in terms of Lauricella’s multivariate hypergeometric function for both independent and correlated antenna branches for BPSK system.

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References

  • Alamouti S.M. (1998) A simple transmit diversity technique for wireless communications. IEEE Journal on Selected Areas in Communications 16(8): 1451–1458. doi:10.1109/49.730453

    Article  Google Scholar 

  • Tarokh V., Jafarkhani H., Calderbank A.R. (1999) Space-time block codes from orthogonal designs. IEEE Transactions on Information Theory 45(5): 1456–1467. doi:10.1109/18.771146

    Article  MATH  MathSciNet  Google Scholar 

  • Shin, H., & Lee, J. H. (2002). Exact symbol error probability of orthogonal space-time block codes. In Proceedings of IEEE Globecom (pp. 1197–1201). November, 2002.

  • Aalo V., Piboongungon T., Efthymoglou G. (2005) Another look at the performance of MRC schemes in Nakagami-m fading channels with arbitrary parameters. IEEE Transactions on Communications 53(12): 2002–2005. doi:10.1109/TCOMM.2005.860089

    Article  Google Scholar 

  • Nakagami M. (1960) The m-distribution—a general formula of intensity distribution of rapid fading. In: Hoffman W.C. (eds) Statistical methods in radio wave propagation. Pergamon Press, New York, pp 3–36

    Google Scholar 

  • Al-Hussaini E.K., Al-Bassiouni A.A. (1985) Performance of MRC diversity systems for the detection of signals with Nakagami fading. IEEE Transactions on Communications COM-33(12): 1315–1319. doi:10.1109/TCOM.1985.1096243

    Article  MathSciNet  Google Scholar 

  • Exton H. (1976) Multiple hypergeometric functions and applications. Wiley, New York

    MATH  Google Scholar 

  • Gradshteyn I.S., Ryzhik I.M. (1980) Tables of integrals, series and products. Academic, New York

    Google Scholar 

  • Abramowitz M., Stegun I.A. (1970) In Handbook of mathematical functions with formulas, graphs, and mathematical tables. Dover, New York

    Google Scholar 

  • Proakis J.G. (1995) Digital communications (3rd ed.). McGraw-Hill, New York

    Google Scholar 

  • Srivastava H.M., Manocha H.L.A. (1984) Treatise on generating functions. Wiley, New York

    MATH  Google Scholar 

  • Pedersen, K. I., Andersen, J. B., Kermoal, J. P., & Mogensen, P. E. (2000). A stochastic multiple-input multiple-output radio channel model for evaluation of space-time coding algorithms. In Proceedings of Vehicular Technology Conference (pp. 893–897). Boston, MA, September, 2000.

  • Luo J., Zeidler J., Proakis J. (2002) Error probability performance for W-CDMA systems with multiple transmit and receive antennas in correlated Nakagami fading channels. IEEE Transactions on Vehicular Technology 51(6): 1502–1516. doi:10.1109/TVT.2002.804861

    Article  Google Scholar 

  • Saaifan K.A., Al-Hussaini E.K. (2007) Diversity reception of an asynchronous blind adaptive multiuser detector through correlated Nakagami fading channel. Wireless Personal Communications 40(5): 539–555. doi:10.1007/s11277-006-9120-z

    Article  Google Scholar 

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Correspondence to Emad K. Al-Hussaini.

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Saaifan, K.A., Al-Hussaini, E.K. Performance of MIMO System Through Nakagami Fading Channel with Arbitrary Fading Parameters. Wireless Pers Commun 50, 367–380 (2009). https://doi.org/10.1007/s11277-008-9610-2

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  • DOI: https://doi.org/10.1007/s11277-008-9610-2

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