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Performance of ZF and MMSE decoders for massive multi-cell MIMO systems in impulsive and Laplacian noise channels

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Abstract

In this paper, we examine the performance of zero forcing (ZF) and minimum mean square error (MMSE) ZF linear detection methods in non-Gaussian impulsive and Laplacian multi-cell MIMO channels. We start by showing the symbol error rate performance in non-Gaussian channels for ZF detection, and then we build over it and extend to the derivations for MMSE ZF system. The lower and upper bound derivations are clearly shown and verified through computer software Montecarlo simulations.

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References

  1. Chiani, M., Win, M.Z., Shin, H.: MIMO networks: the effects of interference. IEEE Trans. Inf. Theory 56(1), 336–349 (2010). https://doi.org/10.1109/TIT.2009.2034810

    Article  MathSciNet  MATH  Google Scholar 

  2. Li, Y., Zhang, Z.: Co-channel interference suppression for multi-cell MIMO heterogeneous network. EURASIP J. Adv. Signal Process. 2016(1), 1–12 (2016)

    Article  Google Scholar 

  3. Hua, Z., et al.: On massive MIMO performance with semi-orthogonal pilot-assisted channel estimation. EURASIP J. Wirel. Commun. Netw. 2014(1), 1–14 (2014)

    Article  Google Scholar 

  4. Panah, A.Y., Yogeeswaran, K., Maguire, Y.: Performance of regression-based precoding for multi-user massive MIMO-OFDM systems. EURASIP J. Adv. Signal Process. 2016(1), 1 (2016)

    Article  Google Scholar 

  5. Jia, X., et al.: Performance analysis of cooperative cognitive MIMO multiuser downlink transmission with perfect and imperfect CSI over Rayleigh fading channels. EURASIP J. Wirel. Commun. Netw. 2015(1), 1–21 (2015)

    Article  Google Scholar 

  6. Kammoun, A., et al.: Linear precoding based on polynomial expansion: large-scale multi-cell MIMO systems. IEEE J. Sel. Top. Signal Process. 8(5), 861–875 (2014)

    Article  Google Scholar 

  7. Wang, H., et al.: On error rate performance of multi-cell massive MIMO systems with linear receivers. Phys. Commun. 20, 123–132 (2016)

    Article  Google Scholar 

  8. Tse, D.N.C., Hanly, S.V.: Linear multiuser receivers: effective interference, effective bandwidth and user capacity. IEEE Trans. Inf. Theory 45(2), 641–657 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  9. Blackard, K.L., Rappaport, T.S., Bostian, C.W.: Measurements and models of radio frequency impulsive noise for indoor wireless communications. IEEE J. Sel. Areas Commun. 11, 991–1001 (1993)

    Article  Google Scholar 

  10. Blankenship, T.K., Krizman, D.M., Rappaport, T.S.: Measurements and simulation of radio frequency impulsive noise in hospitals and clinics. In: Proceedings of the IEEE Vehicular Technology Conference, pp. 1942–1946 (1997)

  11. Madi, G., Sacuto, F., Vrigneau, B., Agba, B.L., Pousset, Y., Vauzelle, R., Gagnon, F.: Impacts of impulsive noise from partial discharges on wireless systems performance: application to MIMO precoders. EURASIP J. Wirel. Commun. Netw. (2011). https://doi.org/10.1186/1687-1499-2011-186

    Article  Google Scholar 

  12. Abuhilal, H., Hocanin, A., Bilgekul, H.: Successive interference cancelation for a CDMA system with diversity reception in non-Gaussian noise. Int. J. Commun. Syst. 26(7), 875–887 (2013)

    Article  Google Scholar 

  13. Hilal, H.A.: Neural networks applications for CDMA systems in non-Gaussian multi-path channels. AEU Int. J. Electron. Commun. 73, 150–156 (2017). https://doi.org/10.1016/j.aeue.2017.01.006

    Article  Google Scholar 

  14. Soury, H., Alouini, M.-S.: Symbol error rate of MPSK over EGK channels perturbed by a dominant additive Laplacian noise. IEEE Trans. Commun. 63(7), 2511–2523 (2015)

    Article  Google Scholar 

  15. Dhibi, Y., Kaiser, T.: On the impulsiveness of multiuser interferences in TH-PPM-UWB systems. IEEE Trans. Signal Process. 54(7), 2853–2857 (2006)

    Article  MATH  Google Scholar 

  16. Dhibi, Y., Kaiser, T.: Impulsive noise in UWB systems and its suppression. Mob. Netw. Appl. 11(4), 441–449 (2006)

    Article  MATH  Google Scholar 

  17. Jiang, S., Beaulieu, N.: BER of antipodal signaling in Laplace noise. In: Proceedings of the 25th Biennial Symposium on Communications (QBSC’2010), Kingston, ON, Canada, pp. 110–113 (2010)

  18. Ahmed, Q., Park, K.-H., Alouini, M.-S.: Ultrawide bandwidth receiver based on a multivariate generalized Gaussian distribution. IEEE Trans. Wirel. Commun. 14(4), 1800–1810 (2015)

    Article  Google Scholar 

  19. Middleton, D.: Statistical-physical models of electromagnetic interference. IEEE Trans. Electromagn. Compat. EC(19), 106–127 (1977)

    Article  Google Scholar 

  20. Spaulding, A.D., Middleton, D.: Optimum reception in an impulsive interference environment-part I: coherent detection. IEEE Trans. Commun. 25(9), 910–923 (1977)

    Article  MATH  Google Scholar 

  21. Haring, J., Vinck, A.J.H.: Performance bounds for optimum and suboptimum reception under class-A impulsive noise. IEEE Trans. Commun. 50(7), 1130–1136 (2002)

    Article  Google Scholar 

  22. Kim, N., Lee, Y., Park, H.: Performance analysis of MIMO system with linear MMSE receiver. IEEE Trans. Wirel. Commun. 7(11), 4474–4478 (2008)

    Article  Google Scholar 

  23. Chaudhry, M.A., Zubair, S.M.: On a Class of Incomplete Gamma Function with Applications. Chapman and Hall/CRC, Boca Raton (2002)

    MATH  Google Scholar 

  24. Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, ser. National Bureau of Standards Applied Mathematics Series. Dover Publications, New York (1964)

    MATH  Google Scholar 

  25. Yilmaz, F., Alouini, M.-S.: A new simple model for composite fading channels: second order statistics and channel capacity. In: Proceedings of the IEEE 7th International Symposium on Wireless Communication Systems (ISWCS’2010), New York, UK, pp. 676-680 (2010)

  26. Kilbas, A., Saigo, M.: H-Transforms : Theory and Applications (Analytical Method and Special Function), 1st edn. CRC Press, Boca Raton (2004)

    Book  MATH  Google Scholar 

  27. Prudnikov, A.P., Brychkov, Y.A., Marichev, O.I.: Integral and Series. More Special Functions, vol. 3. CRC Press Inc., Boca Raton (1990)

    MATH  Google Scholar 

  28. Beaulieu, N.: A useful integral for wireless communication theory and its application to rectangular signaling constellation error rates. IEEE Trans. Commun. 54(5), 802–805 (2006)

    Article  Google Scholar 

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  1. Higher Colleges of Technology, Abu Dhabi, UAE

    Hasan Abu Hilal

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  1. Hasan Abu Hilal
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Correspondence to Hasan Abu Hilal.

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Abu Hilal, H. Performance of ZF and MMSE decoders for massive multi-cell MIMO systems in impulsive and Laplacian noise channels. SIViP 14, 49–56 (2020). https://doi.org/10.1007/s11760-019-01522-4

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  • DOI: https://doi.org/10.1007/s11760-019-01522-4

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