Vol. 100
Latest Volume
All Volumes
PIERB 107 [2024] PIERB 106 [2024] PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2023-05-31
Variational Bayesian Learning for the Modelling of Indoor Broadband Powerline Communication Impulsive Noise
By
Progress In Electromagnetics Research B, Vol. 100, 109-131, 2023
Abstract
Powerline communication (PLC) noise is the main cause of reduced performance and reliability of the communication channel. The major source of these noise bursts, which distort and degrade the communication signal, is the arbitrary plugging in and unplugging of electric devices from the electrical network. It is therefore important to perform statistical modelling of the PLC noise characteristics to enable the development and optimisation of reliable PLC systems. This paper presents the Variational Bayesian (VB) Gaussian Mixture (GM) modelling of the amplitude distribution of the indoor broadband PLC noise. In the proposed model, a fully Bayesian treatment is employed where the parameters of the GM model are assumed to be random variables. Consequently, prior distributions over the parameters are introduced. The VB criterion is used to determine the optimal number of components where the Bayesian information criterion emerges as a limiting case. To find the parameters of the GM components, the variational-expectation maximisation algorithm is employed. Measurements from different indoor PLC environments are then used to validate the model. Thereafter, performance analysis is carried out, and the VB framework is compared to the Maximum Likelihood (ML) estimate method. It is observed that while the ML model performs better when the amplitude distribution contains multiple peaks, the VB framework offers high accuracy and good generalization to the measured data and is thus effective in modelling the amplitude distribution of the PLC noise.
Citation
Florence Chelangat, and Thomas Joachim Odhiambo Afullo, "Variational Bayesian Learning for the Modelling of Indoor Broadband Powerline Communication Impulsive Noise," Progress In Electromagnetics Research B, Vol. 100, 109-131, 2023.
doi:10.2528/PIERB23020808
References

1. Asiyo, M. O. and T. J. Afullo, "Analysis of bursty impulsive noise in low-voltage indoor power line communication channels: Local scaling behaviour," SAIEE Africa Research Journal, Vol. 108, No. 3, 98-107, 2017.
doi:10.23919/SAIEE.2017.8531521

2. Benaissa, A., A. Abdelmalek, and M. Feham, "Improved reliability of power line communication under alpha-stable noise," 2017 5th International Conference on Electrical Engineering | Boumerdes (ICEE-B), 1-5, 2017.
doi:10.23919/SAIEE.2018.8538337

3. 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.

4. Awino, S., T. Afullo, M. Mosalaosi, and P. Akuon, "Measurements and statistical modelling for time behaviour of power line communication impulsive noise," International Journal on Communications Antenna and Propagation, Vol. 9, No. 4, 236-246, 2019.
doi:10.1109/ICEEOT.2016.7755376

5. Prakash, S., A. Bansal, and S. K. Jha, "Performance analysis of narrowband plc system under gaussian laplacian noise model," 2016 International Conference on Electrical, Electronics, and Optimization Techniques (ICEEOT), 3597-3600, 2016.
doi:10.1109/15.990732

6. 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/TEMC.1984.304217

7. Vines, R. M., H. J. Trissell, L. J. Gale, and J. B. O'neal, "Noise on residential power distribution circuits," IEEE Transactions on Electromagnetic Compatibility, Vol. 26, No. 4, 161-168, 1984.
doi:10.1109/TPWRD.2005.844349

8. Meng, H., Y. 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:10.23919/PIERS.2018.8597885

9. Awino, S. O., T. J. Afullo, M. Mosalaosi, and P. O. Akuon, "Empirical identification of narrowband interference in broadband PLC networks at the receiver," 2018 Progress in Electromagnetics Research Symposium (PIERS-Toyama), 2160-2164, 2018.
doi:10.1109/ACCESS.2019.2923321

10. Tonello, A. M., N. A. Letizia, D. Righini, and F. Marcuzzi, "Machine learning tips and tricks for power line communications," IEEE Access, Vol. 7, 82 434-82 452, 2019.

11. Bishop, C. M. and N. M. Nasrabadi, Pattern Recognition and Machine Learning, Vol. 4, No. 4, Springer, 2006.
doi:10.1109/TCOMM.2009.07.070638

12. Fertonani, D. and G. Colavolpe, "On reliable communications over channels impaired by bursty impulse noise," IEEE Transactions on Communications, Vol. 57, No. 7, 2024-2030, 2009.
doi:10.1109/TPWRD.2013.2273942

13. Ndo, G., F. Labeau, and M. 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:10.1049/el:20045825

14. Suraweera, H. A. and J. Armstrong, "Noise bucket effect for impulse noise in OFDM," Electronics Letters, Vol. 40, No. 18, 1156-1157, 2004.
doi:10.23919/SAIEE.2015.8531938

15. Shongwe, T., A. J. H. Vinck, and H. C. Ferreira, "A study on impulse noise and its models," SAIEE Africa Research Journal, Vol. 106, No. 3, 119-131, 2015.
doi:10.1109/COMST.2020.3033748

16. Bai, T., H. Zhang, J. Wang, C. Xu, M. Elkashlan, A. Nallanathan, and L. Hanzo, "Fifty years of noise modeling and mitigation in power-line communications," IEEE Communications Surveys & Tutorials, Vol. 23, No. 1, 41-69, 2020.
doi:10.1109/PIERS-Spring46901.2019.9017860

17. Awino, S., T. J. O. Afullo, M. Mosalaosi, and P. O. Akuon, "GMM estimation and BER of bursty impulsive noise in low-voltage PLC networks," 2019 Photonics & Electromagnetics Research Symposium --- Spring (PIERS-Spring), 1828-1834, 2019.
doi:10.15866/irecap.v12i4.22089

18. Chelangat, F. and T. Afullo, "Low-voltage plc noise modelling," International Journal on Communications Antenna and Propagation (IRECAP), Vol. 12, 237, August 2022.

19. Baroud, D., A. Hasan, and T. Shongwe, "A study towards implementing various arti cial neural networks for signals classi cation and noise detection in ofdm/plc channels," 2020 12th International Symposium on Communication Systems, Networks and Digital Signal Processing (CSNDSP), 1-6, 2020.

20. Nassar, M., K. Gulati, Y. Mortazavi, and B. L. Evans, "Statistical modeling of asynchronous impulsive noise in powerline communication networks," 2011 IEEE Global Telecommunications Conference-GLOBECOM 2011. IEEE, 1-6, 2011.
doi:10.1109/TPWRD.2014.2365579

21. Liu, S., F. Yang, and J. Song, "An optimal interleaving scheme with maximum time-frequency diversity for PLC systems," IEEE Transactions on Power Delivery, Vol. 31, No. 3, 1007-1014, 2014.

22. Attias, H., "A variational Bayesian framework for graphical models," Advances in Neural Information Processing Systems, Vol. 12, 1999.

23. Corduneanu, A. and C. M. Bishop, "Variational Bayesian model selection for mixture distributions," Arti cial intelligence and Statistics, Vol. 2001, 27-34, Morgan Kaufmann Waltham, MA, 2001.
doi:10.1109/TSMCB.2006.872273

24. Nasios, N. and A. Bors, "Variational learning for gaussian mixture models," IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), Vol. 36, No. 4, 849-862, 2006.

25. Penny, W. and S. Roberts, "Variational bayes for 1-dimensional mixture models," Techn. Rep. PARG-00-2, Dept. of Engineering Science, University of Oxford, 2000.

26. Valente, F. and C. Wellekens, "Variational Bayesian speaker clustering," ODYSSEY04 --- The Speaker and Language Recognition Workshop, 2004.
doi:10.1109/TSP.2002.801921

27. Roberts, S. and W. Penny, "Variational Bayes for generalized autoregressive models," IEEE Transactions on Signal Processing, Vol. 50, No. 9, 2245-2257, 2002.

28. Samakande, T., T. Shongwe, A. S. de Beer, and H. C. Ferreira, "The effect of coupling circuits on impulsive noise in power line communication," 2018 IEEE International Symposium on Power Line Communications and its Applications (ISPLC), 1-5, 2018.

29. Tina, J. A. W., A. J. Snyders, and H. C. Ferreira, "Implementation of a gap recorder for measuring impulsive noise error distributions in power line communications using the Fritchman model," 2012 IEEE International Symposium on Power Line Communications and Its Applications, 374-379, 2012.
doi:10.1109/PEOCO.2014.6814439

30. Emleh, A., A. S. de Beer, H. C. Ferreira, and A. J. H. 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, 2014.

31. Emleh, A., A. De Beer, H. Ferreira, and A. H. 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, IEEE, 2013.
doi:10.1109/TPWRD.2015.2452939

32. Antoniali, M., F. Versolatto, and A. M. Tonello, "An experimental characterization of the plc noise at the source," IEEE Transactions on Power Delivery, Vol. 31, No. 3, 1068-1075, 2016.

33. Tlich, M., H. Chaouche, A. Zeddam, and F. Gauthier, "Impulsive noise characterization at source," 2008 1st IFIP Wireless Days, 1-6, 2008.

34. Ying, Y., "A note on variational Bayesian inference,", https://www.albany.edu/ yy298919/realvb.pdf, 2009.
doi:10.1109/TCOM.1984.1096037

35. Vastola, K., "Threshold detection in narrow-band non-gaussian noise," IEEE Transactions on Communications, Vol. 32, No. 2, 134-139, 1984.