An Effective Design for Polar Codes over Multipath Fading Channels

  • Jehad M. HamamrehEmail author
Part of the EAI/Springer Innovations in Communication and Computing book series (EAISICC)


Polar codes, recently adopted in 5G standard due to their excellent performance at a very low complexity compared to other competitive schemes in the literature, are deemed to be a strong candidate for the Internet of Things (IoT) applications as well due to meeting their requirements. However, since polar codes construction is naturally channel-dependent, there has recently been an increasing interest in addressing the challenge of making polar codes work in realistic fading environments as they do in a binary symmetric channel (BSC). Recent studies on polar codes for fading channels have mainly focused on constructing new specific polar codes suitable to particular fading channels. This results in a non-universal code structure, leading to continuous changes in the code structure based on the channel, which is not desirable in practice. To address this problem, we develop and propose a novel transceiver architecture which enables using the polar coding design of a binary input additive white Gaussian noise (BI-AWGN) channel for multipath fading channels without causing any change in the structure of the encoder and decoder sides. This is made possible by eliminating the channel fading effect so that a net AWGN channel can be seen at the input of a simple successive cancelation decoder (SCD). The novelty of the proposed solution lies in using a channel-based orthonormal transformation with optimal power allocation at the transmitter and another transformation at the receiver to make the net, effective channel seen by the SCD very similar to the AWGN. Simulation results show that the proposed design makes the bit error rate (BER) performance of polar codes over a frequency selective fading channel as same as that over an AWGN channel.


  1. 1.
    Al-Turjman, F., Ever, E., & Zahmatkesh, H. (2018). Small cells in the forthcoming 5G/IoT: Traffic modelling and deployment overview. IEEE Communications Surveys Tutorials, PP(99), 1.Google Scholar
  2. 2.
    Al-Turjman, F. M. (2018). Modelling green femtocells in smart-grids. Mobile Networks and Applications, 23(4), 940–955. [Online]. Available: CrossRefGoogle Scholar
  3. 3.
    Hasan, M. Z., Al-Turjman, F., & Al-Rizzo, H. (2018). Analysis of cross-layer design of quality-of-service forward geographic wireless sensor network routing strategies in green internet of things. IEEE Access, 6, 20,371–20,389.CrossRefGoogle Scholar
  4. 4.
    Deebak, B. D., Ever, E., & Al-Turjman, F. (2018). Analyzing enhanced real-time uplink scheduling algorithm in 3GPP LTE-advanced networks using multimedia systems. Transactions on Emerging Telecommunications Technologies, 29(10), e3443.CrossRefGoogle Scholar
  5. 5.
    Hamamreh, J. M., Ankarali, Z. E., & Arslan, H. (2018). CP-less OFDM with alignment signals for enhancing spectral efficiency, reducing latency, and improving PHY security of 5G services. IEEE Access, 6, 63,649–63,663.CrossRefGoogle Scholar
  6. 6.
    Hui, D., Sandberg, S., Blankenship, Y., Andersson, M., & Grosjean, L. (2018). Channel coding in 5G new radio: A tutorial overview and performance comparison with 4G LTE. IEEE Vehicular Technology Magazine, 13(4), 60–69.CrossRefGoogle Scholar
  7. 7.
    Mohammadi, M. S., Collings, I. B., & Zhang, Q. (2017). Simple hybrid ARQ schemes based on systematic polar codes for IoT applications. IEEE Communications Letters, 21(5), 975–978.CrossRefGoogle Scholar
  8. 8.
    Arikan, E. (2009). Channel polarization: A method for constructing capacity-achieving codes for symmetric binary-input memoryless channels. IEEE Transactions on Information Theory, 55(7), 3051–3073.MathSciNetCrossRefGoogle Scholar
  9. 9.
    Si, H., Koyluoglu, O. O., & Vishwanath, S. (2014). Polar coding for fading channels: Binary and exponential channel cases. IEEE Transactions on Communications, 62(8), 2638–2650.CrossRefGoogle Scholar
  10. 10.
    Shi, P., Tang, W., Zhao, S., & Wang, B. (2012). Performance of polar codes on wireless communication channels. In 2012 IEEE 14th International Conference on Communication Technology (ICCT) (pp. 1134–1138). Piscataway: IEEE.CrossRefGoogle Scholar
  11. 11.
    Zhang, Y., Liu, A., Pan, K., Gong, C., & Yang, S. (2014). A practical construction method for polar codes. IEEE Communications Letters, 18(11), 1871–1874.CrossRefGoogle Scholar
  12. 12.
    Bravo-Santos, A. (2013). Polar codes for the Rayleigh fading channel. IEEE Communications Letters, 17(12), 2352–2355.CrossRefGoogle Scholar
  13. 13.
    Boutros, J. J., & Biglieri, E. (2013). Polarization of quasi-static fading channels. In 2013 IEEE International Symposium on Information Theory (pp. 769–773). Piscataway: IEEE.CrossRefGoogle Scholar
  14. 14.
    Islam, M. K. & Liu, R. (2013). Polar coding for fading channel. In 2013 International Conference on Information Science and Technology (ICIST) (pp. 1096–1098). Piscataway: IEEE.Google Scholar
  15. 15.
    Fayyaz, U. U. & Barry, J. R. (2014). Polar code design for intersymbol interference channels. In Global Communications Conference (GLOBECOM), 2014 IEEE (pp. 2357–2362). Piscataway: IEEE.CrossRefGoogle Scholar
  16. 16.
    Trifonov, P. (2015). Design of polar codes for Rayleigh fading channel. In 2015 International Symposium on Wireless Communication Systems (ISWCS) (pp. 331–335). Piscataway: IEEE.CrossRefGoogle Scholar
  17. 17.
    Liu, S., Hong, Y., & Viterbo, E. (2017). Polar codes for block fading channels. In Wireless Communications and Networking Conference Workshops (WCNCW), 2017 IEEE (pp. 1–6). Piscataway: IEEE.Google Scholar
  18. 18.
    Liu, S., Hong, Y., & Viterbo, E. (2017). Adaptive polar coding with high order modulation for block fading channels. In 2017 IEEE International Conference on Communications Workshops (ICC Workshops) (pp. 755–760). Piscataway: IEEE.Google Scholar
  19. 19.
    Zheng, M., Chen, W., & Ling, C. (2018). Polar coding for noncoherent block fading channels. In 2018 10th International Conference on Wireless Communications and Signal Processing (WCSP) (pp. 1–5). Piscataway: IEEE.Google Scholar
  20. 20.
    Oda, M. & Saba, T. (2018). Polar coding with enhanced channel polarization under frequency selective fading channels. In 2018 IEEE International Conference on Communications (ICC) (pp. 1–6). Piscataway: IEEE.Google Scholar
  21. 21.
    Deekshith, P. K., & Sahasranand, K. R. (2017). Polar codes over fading channels with power and delay constraints. In 2017 International Symposium on Wireless Communication Systems (ISWCS) (pp. 37–42). Piscataway: IEEE.CrossRefGoogle Scholar
  22. 22.
    Hamamreh, J. M., Basar, E., & Arslan, H. (2017). OFDM-subcarrier index selection for enhancing security and reliability of 5G URLLC services. IEEE Access, 5, 25,863–25,875.CrossRefGoogle Scholar
  23. 23.
    Hamamreh, J. M., Furqan, H. M., & Arslan, H. (2018). Classifications and applications of physical layer security techniques for confidentiality: A comprehensive survey. IEEE Communications Surveys Tutorials, 2018, 1.CrossRefGoogle Scholar
  24. 24.
    Vangala, H., Viterbo, E., & Hong, Y. (2015). A comparative study of polar code constructions for the AWGN channel. CoRR, abs/1501.02473. [Online]. Available:
  25. 25.
    Hamamreh, J. M., & Arslan, H. (2017). Secure orthogonal transform division multiplexing (OTDM) waveform for 5G and beyond. IEEE Communications Letters, 21(5), 1191–1194.CrossRefGoogle Scholar
  26. 26.
    Hamamreh, J. M., & Arslan, H. (2017). Time-frequency characteristics and PAPR reduction of OTDM waveform for 5G and beyond. In 2017 10th International Conference on Electrical and Electronics Engineering (ELECO) (pp. 681–685). Piscataway: IEEE.Google Scholar
  27. 27.
    Guvenkaya, E., Hamamreh, J. M., & Arslan, H. (2017). On physical-layer concepts and metrics in secure signal transmission. Physical Communication, 25, 14–25.CrossRefGoogle Scholar
  28. 28.
    Furqan, H. M., Hamamreh, J. M., & Arslan, H. (2017). Enhancing physical layer security of OFDM-based systems using channel shortening. In 2017 IEEE 28th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC) (pp. 8–13). Piscataway: IEEE.Google Scholar
  29. 29.
    Hamamreh, J. M., Furqan, H. M., & Arslan, H. (2017). Secure pre-coding and post-coding for OFDM systems along with hardware implementation. In Wireless Communications and Mobile Computing Conference (IWCMC), 2017 13th International (pp. 1338–1343). Piscataway: IEEE.Google Scholar
  30. 30.
    Hamamreh, J. M., & Arslan, H. (2018). Joint PHY/MAC layer security design using ARQ with MRC and null-space independent PAPR-aware artificial noise in SISO systems. IEEE Transactions on Wireless Communications, 17(9), 6190–6204.CrossRefGoogle Scholar

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Electrical-Electronics EngineeringAntalya International (Bilim) UniversityAntalyaTurkey

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