Performance of Polar Codes over Generalized Correlated Fading Channels

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Francisco Caio Parente de Barros, M.Sc.
Flávia Camila Morais de Oliveira, M.Sc.
Maria de Lourdes Melo Guedes Alcoforado, PhD
Waslon Terllizzie A. Lopes


Polar coding, as introduced by Arikan in 2009, is an error correcting code scheme that uses the polarization technique to obtain almost noise-free channels that are suitable for transmission. Polar codes are being widely studied due to their applications on the 5th Generation (5G) of mobile communication systems. In 5G communications, the wireless channel is subject to fading that can significantly degrade the quality of the transmitted signals. In this context, the generalized fading models are useful due to their capacity to model a variety of channel conditions ranging from moderate to severe fading by adjusting some parameters. In this work, the authors investigate the performance of polar codes considering the transmission over generalized fading channels. Additionally, the effect of channel correlation is analyzed and a random interleaver is proposed to mitigate the negative impact of the correlation on the system performance. For the system with generalized fading modeled by eta-mu distribution and Cyclic Redundancy Check (CRC) Aided Successive Cancellation List (CA-SCL) decoding, the scenario with correlated fading channel and interleaving shows a performance improvement compared to the system without interleaving. In this case, a gain of approximately 3.5 dB is obtained considering a Bit Error Rate (BER) of 10^{-2}. Considering the alpha-mu (alpha=2 and mu=1) and the kappa-mu  (kappa=mu=2) fading channels,  the uncorrelated systems outperform the correlated ones. Among them, the interleaver improves the performance of the systems. For a BER of 10^{-2}, as an example, the use of fading correlated channels and interleaver shows a performance improvement of 12 dB and 0.5 dB for the alpha-mu and kappa-mu fading channels, respectively.

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How to Cite
Barros, F. C. P. de, Oliveira, F. C. M. de, Alcoforado, M. de L. M. G., & Lopes, W. T. A. (2022). Performance of Polar Codes over Generalized Correlated Fading Channels. Journal of Communication and Information Systems, 37(1), 1–9.
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Author Biography

Waslon Terllizzie A. Lopes, Federal University of Paraíba

Waslon Terllizzie Araujo Lopes was born in Petrolina, Pernambuco, Brazil. He received the B.Sc. and M.Sc. degrees in Electrical Engineering from Federal
University of Paraiba, Brazil, in 1998 and 1999, respectively. He received his D.Sc. degree in Electrical Engineering from Federal University of Campina
Grande, Brazil in 2003. From November 2018 to October 2019 he was visiting professor in the University of Toronto, Canada. Currently, he is with
Department of Electrical Engineering of Federal University of Paraíba, Brazil. He is also Financial Director of the Institute for Advanced Studies in
Communications (Iecom). His research interests include robust vector quantization, wireless communication systems, communication theory, and digital
signal processing. Dr. Waslon co-authored the books Communications, Information and Network Security published by Kluwer Academic Publishers and Spectral
Sensing: Techniques and Applications published by Momentum Press. Waslon Terllizzie is member of the Brazilian Telecommunications Society (SBrT) since
1997 and Senior Member of the Institute of Electrical and Electronics Engineers (IEEE).

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