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Low-Voltage PLC Noise Modelling

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This paper models the PLC impulsive noise using a linear superposition of univariate Gaussian distributions where the Bayes’ theorem is used to find the posterior probabilities. The Gaussian mixture is formulated using discrete latent variables and modelled using two, three and four components in order to evaluate the effect of the number of components (Q). The parameters of the Gaussian mixture are then estimated using the maximum likelihood technique and the expectation-maximization algorithm. Regression analysis is proposed in order to solve the issue of singularity which is often present when the maximum likelihood approach is employed. The model is then validated through measurements where the impulsive noise is categorized into low, medium and highly impulsive depending on the amplitude of the indoor PLC noise. It is observed that as the number of components increases the performance of the Gaussian mixture model also increases as depicted by the correlation coefficient and RMSE. The χ2 test indicates that the proposed model provides a better fit as the PLC noise amplitude increases. In addition, the shape of the impulsive noise PDF becomes more defined with higher Q values. A singularity case is also examined where the Gaussian mixture model also provides a good approximation of the measured data.
Copyright © 2022 The Authors - Published by Praise Worthy Prize under the CC BY-NC-ND license.


Amplitude Distribution; Gaussian Mixture (GM); Impulsive Noise; Probability Density Function (PDF); EM Algorithm

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O. Karakuş, E. E. Kuruoğlu, and M. A. Altınkaya, Modelling impulsive noise in indoor powerline communication systems, Signal, Image and Video Processing, vol. 14, no. 8, pp. 1655-1661, Nov. 2020.

S. O. Awino, 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, pp. 237-249, Dec. 2018.

M. Zimmermann and K. Dostert, Analysis and modeling of impulsive noise in broad-band powerline communications, IEEE Transactions on Electromagnetic Compatibility, vol. 44, no. 1, pp. 249-258, 2002.

M. Mosalaosi and T. J. O. Afullo, Prediction of asynchronous impulsive noise volatility for indoor powerline communication systems using GARCH models, in 2016 Progress in Electromagnetic Research Symposium (PIERS), Aug. 2016, pp. 4876-4880.

Mosalaosi, M., Afullo, T., Broadband Characteristics for Multi-Path Power Line Communication Channels: Indoor Environments, (2016) International Journal on Communications Antenna and Propagation (IRECAP), 6 (4), pp. 244-254.

T. Bai et al., Fifty Years of Noise Modeling and Mitigation in Power-Line Communications, IEEE Communications Surveys & Tutorials, vol. 23, no. 1, pp. 41-69, 2021.

M. Nassar, K. Gulati, Y. Mortazavi, and B. L. Evans, Statistical Modeling of Asynchronous Impulsive Noise in Powerline Communication Networks, in 2011 IEEE Global Telecommunications Conference - GLOBECOM 2011, Dec. 2011, pp. 1-6.

S. Saoudi, T. Derham, T. Ait-Idir, and P. Coupe, A Fast Soft Bit Error Rate Estimation Method, EURASIP Journal on Wireless Communications and Networking, vol. 2010, no. 1, p. 372370, Dec. 2010.

J. Dong, Estimation of bit error rate of any digital communication System, Université de Bretagne Occidentale, 2013.

A. M. Tonello, N. A. Letizia, D. Righini, and F. Marcuzzi, Machine Learning Tips and Tricks for Power Line Communications, IEEE Access, vol. 7, pp. 82434-82452, 2019.

S.-I. Seo, Study on Efficient Impulsive Noise Mitigation for Power Line Communication, International journal of advanced smart convergence, vol. 8, no. 2, pp. 199-203, 2019.

Awino, S., Afullo, T., Mosalaosi, M., Akuon, P., Measurements and Statistical Modelling for Time Behaviour of Power Line Communication Impulsive Noise, (2019) International Journal on Communications Antenna and Propagation (IRECAP), 9 (4), pp. 236-246.

M. O. Asiyo and T. J. O. 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, pp. 98-107, Sep. 2017.

M. Mosalaosi, Characterization and modeling of the channel and noise for broadband indoor Power Line Communication (PLC) networks, Ph.D. dissertation, University of KwaZulu-Natal, Durban, South Africa, 2016.

A. Emleh, A. S. de Beer, H. C. Ferreira, and A. J. H. Vinck, Noise detection on the low voltage network PLC channel for direct and indirect connections, in MELECON 2014 - 2014 17th IEEE Mediterranean Electrotechnical Conference, Apr. 2014, pp. 203-207.

A. Acakpovi, H. Mohammed, N. Nwulu, F.-X. N. Fifatin, T. C. Nounangnonhou, and R. Abubakar, Evaluation of Noise Effects on Power Line Communication in a Narrow and Wide Band Frequency Spectrum: A Case Study of Electricity Distribution Network of Ghana, in 2019 International Conference on Computing, Computational Modelling and Applications (ICCMA), Mar. 2019, pp. 27-276.

H. Meng, 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, pp. 630-637, Apr. 2005.

S. O. Awino, T. J. O. Afuflo, M. Mosalaosi, and P. O. Akuon, Empirical Identification of Narrowband Interference in Broadband PLC Networks at the Receiver, in 2018 Progress in Electromagnetics Research Symposium (PIERS-Toyama), Aug. 2018, pp. 2160-2164.

J. Yin, X. Zhu, and Y. Huang, 3D Markov Chain Based Narrowband Interference Model for In-Home Broadband Power Line Communication, in 2016 IEEE Global Communications Conference (GLOBECOM), Dec. 2016, pp. 1-6.

A. Ohno, Osamu and Katayama, Masaaki and Yamazato, Takaya and Ogawa, A simple model of cyclostationary power-line noise for communication systems, in International Symposium on Power Line Communications and Its Applications (ISPLC), 1998, pp. 115-122.

M. O. Asiyo and T. J. Afullo, Prediction of long-range dependence in cyclostationary noise in low-voltage PLC networks, in 2016 Progress in Electromagnetic Research Symposium (PIERS), Aug. 2016, pp. 4954-4958.

M. Mosalaosi and T. Afullo, Parameter estimation for linear regression models in powerline communication systems noise using Generalized Method of Moments (GMM), in Progress in Electromagnetic Research Symposium (PIERS), 2016, pp. 4858-4862.

H. Oh, D. Seo, and H. Nam, Design of a Test for Detecting the Presence of Impulsive Noise, Sensors, vol. 20, no. 24, p. 7135, Dec. 2020.

Abraham M. Nyete, 2017, A Novel Technique for the Modeling of Power Line Noise for PLC Low Voltage Applications, International Journal of Engineering Research & Technology (IJERT) Volume 06, Issue 04 (April 2017),

T. Shongwe, A. J. H. Vinck, and H. C. Ferreira, A Study on Impulse Noise and Its Models, SAIEE Africa Research Journal, vol. 106, no. 3, pp. 119-131, Sep. 2015.

C. L. Brown and A. M. Zoubir, A nonparametric approach to signal detection in impulsive interference, IEEE Transactions on Signal Processing, vol. 48, no. 9, pp. 2665-2669, 2000.

G. Laguna-Sanchez and M. Lopez-Guerrero, On the Use of Alpha-Stable Distributions in Noise Modeling for PLC, IEEE Transactions on Power Delivery, vol. 30, no. 4, pp. 1863-1870, Aug. 2015.

D. Middleton, Statistical-Physical Models of Electromagnetic Interference, IEEE Transactions on Electromagnetic Compatibility, vol. EMC-19, no. 3, pp. 106-127, Aug. 1977.

B. S. Sushma, R. Roopesh, S. Gurugopinath, and R. Muralishankar, Performance Characterization of Broadband Powerline Communication for Internet-of-Things, in 2019 International Conference on Wireless Communications Signal Processing and Networking (WiSPNET), Mar. 2019, pp. 146-151.

H. A. Suraweera and J. Armstrong, Noise bucket effect for impulse noise in OFDM, Electronics Letters, vol. 40, no. 18, p. 1156, 2004.

G. Ndo, 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, pp. 2317-2325, Oct. 2013.

S. P. Herath, N. H. Tran, and T. Le-Ngoc, On optimal input distribution and capacity limit of Bernoulli-Gaussian impulsive noise channels, in 2012 IEEE International Conference on Communications (ICC), Jun. 2012, pp. 3429-3433.

T. Guzel, E. Ustunel, H. B. Celebi, H. Delic, and K. Mihcak, Noise Modeling and OFDM Receiver Design in Power-Line Communication, IEEE Transactions on Power Delivery, vol. 26, no. 4, pp. 2735-2742, Oct. 2011.

F. Gianaroli, F. Pancaldi, and G. M. Vitetta, The Impact of Statistical Noise Modeling on the Error-Rate Performance of OFDM Power-Line Communications, IEEE Transactions on Power Delivery, vol. 29, no. 6, pp. 2622-2630, Dec. 2014.

S. O. Awino, T. J. O. Afullo, M. Mosalaosi, and P. O. Akuon, GMM Estimation and BER of Bursty Impulsive Noise in Low-voltage PLC Networks, in 2019 Photonics & Electromagnetics Research Symposium - Spring (PIERS-Spring), Jun. 2019, pp. 1828-1834.

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

M. P. Deisenroth, A. A. Faisal, and C. S. Ong, Mathematics for machine learning. Cambridge University Press, 2020.

N. M. Bishop, Christopher M and Nasrabadi, Pattern recognition and machine learning, Vol. 4, No. Springer, 2006.

B. Ghojogh, A. Ghojogh, M. Crowley, and F. Karray, Fitting a mixture distribution to data: tutorial, arXiv preprint arXiv:1901.06708, 2019.

A. Emleh, 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, in 2014 IEEE 8th International Power Engineering and Optimization Conference (PEOCO2014), Mar. 2014, pp. 276-280.


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