Abstract
We propose a novel simulation approach of the Middleton Class-A model for impulsive noise generation considering symbol-wise transmission in a real Power Line Communication environment. Then, we validate the proposed approach for both single carrier binary FSK based—and multi-carrier OFDM-based communication systems. Established analytical formulations and obtained simulation results for the impulsive noise variance distribution and the communication system error probability show that in a binary FSK system, the second order of the noise variance per symbol, as well as the error floor, are closely related to the impulsive index A. The error floor decreases when A becomes large, and its asymptotic value is equal to the Bit Error Rate (BER) for an additive white Gaussian noise channel with noise variance equal to the average variance of the impulse noise. However, in an OFDM-based system, the noise variance per symbol at the output of the demodulator, as well as the error floor in the BER curves, are fixed and independent of the impulsive index A. The proposed analysis allows us to compare binary FSK and OFDM under the same theoretical noise conditions.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Bedicks, G., Dantas, C. E. S., Sukys, F., Yamada, F., Raunheitte, L. T. M., & Akamine, C. (2005). Digital signal disturbed by impulsive noise. IEEE Transactions on Broadcasting, 51(3), 322–328.
Guedes Esperante, P., Akamine, C., and Bedicks, G., (2016). Comparison of Terrestrial DTV Systems: ISDB-TB and DVB-T2 in 6 MHz. IEEE Latin America Transactions, 14(1), pp 45–56(a)
Krejci, J., Zeman, T., Impulse noise influencing xDSL technologies, In IEEE 15th International Symposuim in MECHATRONICA, December 2012, (pp. 1–4 (b))
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 Transactions on Consumer Electronics, 48(4), 913–918.
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.
Gassara, H., Rouissi, F., & Ghazel, A. (2014). Statistical characterization of the indoor low-voltage narrowband power line communication channel. IEEE Transactions on Electromagnetic Compatibility, 56(1), 123–131.
Shongwe, T., Vinck, A. J. H., and 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.
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.
Ghosh, M. (1996). Analysis of the effect of impulse noise on multicarrier and single carrier QAM systems. IEEE Transactions on Communications, 44(2), 145–147.
Yang, F., & Zhang, X. (2016). Performances modeling for smart grid networks over impulsive bandpass AWSαSN channels. Washington, DC, USA: IEEE Globecom conference.
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.
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.
Ziemer, R. (1967). Error probabilities due to additive combinations of Gaussian and impulsive noise. IEEE Transactions on Communication Technology, 15(3), 471–474.
Ziemer, R. (1967). Character error probabilities for M-ary signaling in impulsive noise environments. IEEE Transactions on Communication Technology, 15(1), 32–34.
Huynh, H., & Lecours, M. (1975). Impulsive noise in noncoherent M-ary digital systems. IEEE Transactions on Communications, 23(2), 246–252.
H¨aring J., and 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.
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 Tranactions on Power Delivery, 21(4), 1927–1934.
Suraweera, H. A., & Armstrong, J. (2004). Noise bucket effect for impulse noise in OFDM. Electronics Letters, 40(18), 1156–1157.
Razazian, K., Umari, M., Kamlizad, A., Loginov, V., & Navid, M. (2010). “G3-PLC Specification for Powerline communication: Overview, System simulation and Field Trial Results”, IEEE International Symposium on Power Line Communications and its Applications (ISPLC’2010). Brail: Rio de Janero.
PRIME Project, “Draft standard for powerline-related intelligent metering evolution: physical layer specifications,” 2008.
ST7570, “S-FSK power line networking system-on-chip,” ST’s product data sheet, Sep. 2012. URL: www.st.com
Ndo, G., Labeau, F., & Kassouf, M. (2013). A Markov-Middleton model for bursty impulsive noise: Modelling and receiver design. IEEE Transactions on Power Delivery, 28(4), 2317–2325.
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.
Spaulding, A., & Middleton, D. (1977). Optimum reception in an impulsive interference environment-Part I: Coherent detection. IEEE Transactions on Communications, 25(9), 910–923.
Berry, L.A. (1981). Understanding Middleton’s canonical formula for class A noise. In IEEE Transactions on electromagnetic compatibility, vol. EMC-23, no. 4, pp. 337–344, Nov. 1981.
Galli, S. Scaglione, A., and Wang, Z. (2010). Power line communications and the smart grid, In IEEE International Conerence. on Smart Grid Commun. (SmartGridComm), Gaithersburg, MD.
Mengi, A., and Vinck, A.J.H. (2010).“Successive impulsive noise suppression in OFDM,” In IEEE International Symposium on Power Line Communications and its Applications (ISPLC’2010), Rio de Janeiro, Brazil
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Rouissi, F., Vinck, A.J.H. & Ghazel, A. On the simulation of the Middleton Class-A noise model for single- and multi-carrier modulation in power line communication. Telecommun Syst 77, 143–153 (2021). https://doi.org/10.1007/s11235-020-00746-x
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11235-020-00746-x