volume | PIER Journals

Abstract

This paper examines the use of extreme value theory (EVT) in modelling and forecasting extreme noise events in Power Line Communication (PLC) networks. PLC noise is characterised by random, high-amplitude noise spikes that significantly degrade PLC performance. As such, EVT, which is a branch of statistics that is concerned with modelling and analysing extreme deviations of random processes, is particularly useful for modelling PLC noise impulsive noise events, which are random since it focuses on the tail behaviour of the noise distribution. In this proposed EVT analysis, the probability of extreme noise events is estimated from the high-amplitude spikes. The heavy-tailed characteristics of PLC noise are estimated by the shape parameter (ξ) to model impulsive noise distributions, and the Block Maxima (BM) approach is employed to handle the worst-case PLC noise events lasting over long periods, consequently estimating the maximum expected noise over time. Lastly, the peaks over threshold (POT) method is proposed to handle the threshold exceedance probability, which can be used for threshold selection for PLC noise suppression.

1. Middleton, David, "Statistical-physical models of electromagnetic interference," IEEE Transactions on Electromagnetic Compatibility, Vol. EMC-19, No. 3, 106-127, 1977.
doi:10.1109/temc.1977.303527

2. Middleton, D., "Non-Gaussian noise models in signal processing for telecommunications: New methods an results for class A and class B noise models," IEEE Transactions on Information Theory, Vol. 45, No. 4, 1129-1149, 1999.
doi:10.1109/18.761256

3. Middleton, David, "Procedures for determining the parameters of the first-order canonical models of Class A and Class B electromagnetic interference [10]," IEEE Transactions on Electromagnetic Compatibility, Vol. EMC-21, No. 3, 190-208, 1979.
doi:10.1109/temc.1979.303731

4. Zimmermann, M. and K. Dostert, "Analysis and modeling of impulsive noise in broad-band powerline communications," IEEE Transactions on Electromagnetic Compatibility, Vol. 44, No. 1, 249-258, 2002.
doi:10.1109/15.990732

5. Rouissi, F., V. Degardin, A. Ghazel, M. Lienard, and F. Gauthier, "Impulsive noise modelling using markov chains in indoor-environment-comparison with stochastic model," 2005 12th IEEE International Conference on Electronics, Circuits and Systems, 1-4, Gammarth, Tunisia, 2005.
doi:10.1109/icecs.2005.4633516

6. Ndo, Gaëtan, Fabrice Labeau, and Marthe Kassouf, "A Markov-Middleton model for bursty impulsive noise: Modeling and receiver design," IEEE Transactions on Power Delivery, Vol. 28, No. 4, 2317-2325, 2013.
doi:10.1109/tpwrd.2013.2273942

7. Awino, Steven O., T. J. Afullo, Modisa Mosalaosi, and Peter O. Akuon, "Measurements and statistical modelling for time behaviour of power line communication impulsive noise," International Journal on Communications Antenna and Propagation (IRECAP), Vol. 9, No. 4, 236-246, 2019.
doi:10.15866/irecap.v9i4.16094

8. Ghosh, M., "Analysis of the effect of impulse noise on multicarrier and single carrier QAM systems," IEEE Transactions on Communications, Vol. 44, No. 2, 145-147, 1996.
doi:10.1109/26.486604

9. Laguna-Sanchez, Gerardo and Miguel Lopez-Guerrero, "On the use of alpha-stable distributions in noise modeling for PLC," IEEE Transactions on Power Delivery, Vol. 30, No. 4, 1863-1870, 2015.
doi:10.1109/tpwrd.2015.2390134

10. Benaissa, A., A. Abdelmalek, and M. Feham, "Reliability and performance improvement of MIMO-PLC system under alpha-stable noise," International Journal on Communications Antenna and Propagation (IRECAP), Vol. 6, No. 3, 182-187, 2016.
doi:10.15866/irecap.v6i3.9118

11. Gianaroli, Fabio, Fabrizio Pancaldi, Enrico Sironi, Marco Vigilante, Giorgio Matteo Vitetta, and Alessandro Barbieri, "Statistical modeling of periodic impulsive noise in indoor power-line channels," IEEE Transactions on Power Delivery, Vol. 27, No. 3, 1276-1283, 2012.
doi:10.1109/tpwrd.2012.2188910

12. Awino, S. O., T. J. O. Afullo, M. Mosalaosi, and P. O. Akuon, "Time series analysis of impulsive noise in power line communication (PLC) networks," SAIEE Africa Research Journal, Vol. 109, No. 4, 237-249, 2018.
doi:10.23919/saiee.2018.8538337

13. Chelangat, Florence and Thomas Joachim Odhiambo Afullo, "Time series modelling of powerline communication impulsive noise: Queuing theory approach," Progress In Electromagnetics Research C, Vol. 150, 157-168, 2024.
doi:10.2528/pierc24090401

14. Jacob, Maria, Cláudia Neves, and Danica Vukadinović Greetham, Forecasting and Assessing Risk of Individual Electricity Peaks, Springer Nature, 2020.
doi:10.1007/978-3-030-28669-9

15. Longin, Francois, Extreme Events in Finance: A Handbook of Extreme Value Theory and Its Applications, John Wiley & Sons, 2016.

16. Kotz, Samuel and Saralees Nadarajah, Extreme Value Distributions: Theory and Applications, World Scientific, 2000.

17. Beirlant, Jan, Yuri Goegebeur, Johan Segers, and Jozef L. Teugels, Statistics of Extremes: Theory and Applications, John Wiley & Sons, 2006.

18. Meng, H., Y. L. Guan, and S. Chen, "Modeling and analysis of noise effects on broadband power-line communications," IEEE Transactions on Power Delivery, Vol. 20, No. 2, 630-637, 2005.
doi:10.1109/tpwrd.2005.844349

19. Vines, Roger M., H. Joel Trissell, Louis J. Gale, and J. Ben O'neal, "Noise on residential power distribution circuits," IEEE Transactions on Electromagnetic Compatibility, Vol. EMC-26, No. 4, 161-168, 1984.
doi:10.1109/temc.1984.304217

20. Antoniali, Massimo, Fabio Versolatto, and Andrea M. Tonello, "An experimental characterization of the PLC noise at the source," IEEE Transactions on Power Delivery, Vol. 31, No. 3, 1068-1075, 2016.
doi:10.1109/TPWRD.2015.2452939

21. Tlich, Mohamed, Ahmed Zeddam, Fabienne Moulin, and Frederic Gauthier, "Indoor power-line communications channel characterization up to 100 MHz --- Part II: Time-frequency analysis," IEEE Transactions on Power Delivery, Vol. 23, No. 3, 1402-1409, 2008.
doi:10.1109/tpwrd.2007.916095

22. Emleh, A., A. S. de Beer, H. C. Ferreira, and A. J. Han Vinck, "The impact of the CFL lamps on the power-line communications channel," 2013 IEEE 17th International Symposium on Power Line Communications and Its Applications, 225-229, Johannesburg, South Africa, 2013.
doi:10.1109/ISPLC.2013.6525854

23. Emleh, A., A. S. de Beer, H. C. Ferreira, and A. J. Han Vinck, "The influence of fluorescent lamps with electronic ballast on the low voltage PLC network," 2014 IEEE 8th International Power Engineering and Optimization Conference (PEOCO2014), 276-280, Langkawi, Malaysia, 2014.
doi:10.1109/PEOCO.2014.6814439

24. ETS, , Powerline telecommunications (PLT); Coexistence between PLT modems and short wave radio broadcasting services, Available: https://www.etsi.org/deliver/etsi_ts/102500_102599/102578/01.02.01_60/ts_102578v010201p.pdf.

Dr. Steven O. Awino

Dr. Bakhe Nleya