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Statistical analysis of the Middleton Class-A noise effects on multi-carrier OFDM-based communication system

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Abstract

This paper addresses the effects of Middleton Class-A noise on a binary OFDM-based communication system and proposes a full theoretical study of its statistics. The simulation approach for the Class-A noise, which confirms a previous research work, is based on symbol-wise transmission. Analytical formulations for the statistics of the noise power at the output of the OFDM demodulator and of the error probability are established, and validated by the simulation results. It is concluded that the variance of the impulse noise power, as well as the error floor in the Bit Error Rate (BER) curves are closely related to not only the impulsive index A, but also to the FFT block size N. The error floor decreases when the product of the impulsive index and the FFT block size, AN, increases. The asymptotic value of the error floor is given by the BER for an additive white Gaussian noise channel with noise variance equal to the average variance of the Class-A impulse noise.

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References

  1. IEEE Comm. Society. (2013). IEEE Standard for low-frequency (less than 500 KHz) narrowband power line communications for smart grid applications, IEEE std 1901.2.

  2. Ferreira, H. C., Lampe, L., Newbury, J., & Swart, T. G. (2010). Power Line communications: Theory and applications for narrowband and broad-band communications over power lines. Chichester, England: John Wiley and Sons.

    Book  Google Scholar 

  3. Dégardin, V., Liénard, M., Zeddam, A., Gauthier, F., & Degauque, P. (2002). Classification and characterization of impulsive noise on indoor power line used for data communications. IEEE Transaction on Consumer Electronics, 48(4), 913–918.

    Article  Google Scholar 

  4. Rouissi, F., Vinck, A. J. H., Gassara, H., & Ghazel, A. (2017). Statistical characterization and modelling of impulse noise on indoor narrowband PLC environment. In IEEE International Symposium on Power Line Communications and its Applications (ISPLC’ 2017), pp. 12–17, Madrid, Spain.

  5. G3-PLC Alliance. (2017). “G3-PLC Specifications–CENELEC–ARIB–FCC: Narrowband OFDM PLC Specifications for G3-PLC Networks”, revised version.

  6. Hoch, M. (2011). “Comparison of PLC G3 and PRIME”. In IEEE International Symposium on Power Line Communications and its Applications (ISPLC’ 2011), pp. 165–169, Udine, Italy.

  7. Anoh, K., Adebisi, B., Rabie, K., & Gacanin, H. (2018). Optimization of impulsive noise mitigation scheme for PAPR reduced OFDM signals over powerline channels. In IEEE 87th Vehicular Technology Conference (VTC Spring), Porto, Portugal.

  8. Mengi, A., & Vinck, A.J.H. (2013). “On Iterative impulsive noise mitigation in uncoded OFDM”. In 8th International Conference on Communications and Networking in China (CHINACOM’2013), Guilin, China.

  9. Papilaya, V. N., & Vinck, A. J. H. (2015). Improving performance of the MH-iterative IN mitigation scheme in PLC systems. IEEE Transactions on Power Delivery, 30(1), 138–143.

    Article  Google Scholar 

  10. Bolaji, A.G., & Shongwe, T. (2018). “BPSK-OFDM versus QFSK-OFDM in combating the effects of narrowband interference and impulsive noise in power line communication”, In 2018 11th International Symposium on Communication Systems, Networks & Digital Signal Processing (CSNDSP). IEEE, p, 1-6.

  11. Bolaji, A. G., & Shongwe, T. (2020). Performance comparison of Modified BPSK-OFDM and QFSK-OFDM in PLC Channel noise. International Journal of Electronics and Telecommunications, 66(4), 599–605.

    Google Scholar 

  12. Selim, B., Alam, M.S., Kaddoum, G., et al (2020). “A deep learning approach for the estimation of Middleton class-A Impulsive noise parameters”. In ICC 2020–2020 IEEE International Conference on Communications (ICC). IEEE. p. 1–6.

  13. Shongwe, T., Vinck, A. J. H., & Ferreira, H. C. (2015). A study on impulse noise and its models. SAIEE Africa Research Journal, 106(3), 119–131.

    Article  Google Scholar 

  14. Shongwe, T., Vinck, A. J. H., & Ferreira, H. C. (2014). On impulse noise and its models. In IEEE International Symposium on Power Line Communications and its Applications (ISPLC’ 2014), Glasgow, United Kingdom, pp. 12–17.

  15. Middleton, D. (1999). Non-gaussian noise models in signal processing for telecommunications: new methods and results for class A and class B noise models. IEEE Trans. on Information Theory, 45(4), 1129–1149.

    Article  Google Scholar 

  16. Cortés, J.A., Sanz, A., Estopinan, P., & Garcia, J. I. (2016). On the suitability of the Middleton class A noise model for narrowband PLC. In IEEE International Symposium on Power Line Communications and its Applications (ISPLC’2016), Bottrop, Germany.

  17. Häring, J., & Vinck, A. J. H. (2000). OFDM transmission corrupted by impulsive noise. In IEEE International Symposium on Power Line Communications and its Applications (ISPLC’ 2000), Limerick, Ireland.

  18. Amirshahi, P., Navidpour, M. S., & Kavehrad, M. (2006). Performance analysis of uncoded and coded OFDM broadband transmission over low voltage power-line channels with impulsive noise. IEEE Transaction on Power Delivery, 21(4), 1927–1934.

    Article  Google Scholar 

  19. Suraweera, H. A., & Armstrong, J. (2004). Noise bucket effect for impulse noise in OFDM. Electronics Letters, 40(18), 1156–1157.

    Article  Google Scholar 

  20. Rouissi, F., Vinck, A. J. H., & Ghazel, A. (2021). On the simulation of the middleton class-a noise model for single- and multi-carrier modulation in power line communication. Telecommunication systems, 77, 143–153.

    Article  Google Scholar 

  21. Katayama, M., Yamazato, T., & Okada, H. (2008). A mathematical model of noise in narrowband power line communication systems. IEEE Journal on selected area in communications, 24(7), 1267–1276.

    Article  Google Scholar 

  22. Yang, F., & Zhang, X. (2016). Performances modeling for smart grid networks over impulsive bandpass AWSαSN channels. In IEEE Globecom conference, Washington, DC, USA.

  23. Rouissi, F., Vinck, A. J. H., Gassara, H., & Ghazel, A. (2019). Improved impulse noise modeling for indoor narrow-band power line communication. AEU International Journal of Electronics and Communications, 103, 74–81.

    Article  Google Scholar 

  24. Berry, L. A. (1981). Understanding Middleton’s canonical formula for class A noise. IEEE Transactions on electromagnetic compatibility, EMC-23(4), 337–344.

    Article  Google Scholar 

  25. Vinck, A.J.H. (2013). Coding concepts and reed-solomon codes”, Essen, germany: institute for experimental mathematics. ISBN 978–3–9813030–6–3.

  26. Galli, S., Scaglione, A., & Wang, Z. (2010). “Power Line Communications and the Smart Grid. In IEEE International Conference on Smart Grid Communication (SmartGridComm), Gaithersburg, MD.

  27. Haight, F. A. (1967). Handbook of the Poisson distribution. New York: John Wiley and Sons.

    Google Scholar 

  28. Narasimhamurthy, A. B., Banavar, M.K, & Tepedelenlioglu, C. (2010). “OFDM systems for Wireless Communication. Morgan & Claypool Publishers.

  29. Johan, J. (1906). Sur les fonctions convexes et les inégalités entre les valeurs moyennes. Acta Math, 30

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Authors and Affiliations

  1. Labaratory of GRES’COM, Ecole Supérieure Des Communications de Tunis, University of Carthage, Tunis, Tunisia

    Fatma Rouissi & Adel Ghazel

  2. University of Duisburg-Essen, Duisburg, Germany

    A. J. Han Vinck

  3. University of Johannesburg, Johannesburg, South Africa

    A. J. Han Vinck

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  1. Fatma Rouissi
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  2. A. J. Han Vinck
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  3. Adel Ghazel
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Correspondence to Fatma Rouissi.

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Rouissi, F., Vinck, A.J.H. & Ghazel, A. Statistical analysis of the Middleton Class-A noise effects on multi-carrier OFDM-based communication system. Telecommun Syst 82, 115–123 (2023). https://doi.org/10.1007/s11235-022-00975-2

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