Algorithmization and Hardware Implementation of Polar Coding for 5G Telecommunications

Author:

Pyatin Ilya1,Boiko Juliy2,Eromenko Oleksander3

Affiliation:

1. Department of Computer Engineering, Faculty of Computer Engineering , Khmelnytskyi Polytechnic Professional College by Lviv Polytechnic National University 10 , Zarichanska str ., Khmelnytskyi , , Ukraine

2. Department of Telecommunications, Media and Intelligent Technologies, Faculty of Information Technologies , Khmelnytskyi National University 11 , Instytuts’ka str ., Khmelnytskyi , , Ukraine

3. Department of Physics and Electrical Engineering, Faculty of Information Technologies , Khmelnytskyi National University 11 , Instytuts’ka str ., Khmelnytskyi , , Ukraine

Abstract

Abstract The article explores a recursive algorithm for determining Bhattacharyya parameters, which is a measure of the degree of channel polarization for telecommunications with polar coding. A method is given for determining the positions of information and fixed bits in a polar code. The principles of constructing a polar encoder and a polar decoder successive cancellation are considered. The Field-Programmable Gate Array implementation of the successive cancellation list decoder is considered. Experimental studies of the construction of a polar code using Gaussian approximation have been carried out. The influence of the design signal-to-noise ratio on the bit error rate of telecommunications with polar codes has been studied. The use of multi-position modulation in telecommunications with polar codes has been studied. It is expected that the results obtained will be useful in hardware and software implementation of 5G telecommunications with polar coding.

Publisher

Walter de Gruyter GmbH

Reference20 articles.

1. Bae, J. H., Abotabl, A., Lin, H. P., Song, K. B., and Lee, J. (2019) An overview of channel coding for 5G NR cellular communications. APSIPA transactions on signal and information processing, 8, e17. https://doi.org/10.1017/ATSIP.2019.10.

2. Benkhouya, R., Idriss, C. and Youssef, H. (2020) Study of the operational SNR while constructing polar codes. International Journal of Electrical and Computer Engineering, 10(3), 3200–3207. http://doi.org/10.11591/ijece.v10i3.pp3200–3207.

3. Bocherer, G., Prinz, T., Yuan, P. and Steiner, F. (2017) Efficient Polar Code Construction for Higher-Order Modulation. In: Proceedings of the 2017 IEEE Wireless Communications and Networking Conference Workshops (WCNCW), San Francisco, CA, USA, 19–22 March 2017, 1–6. IEEE Press. http://doi.org/10.1109/WCNCW.2017.7919039.

4. Boiko, J., Pyatin, I., Eromenko, O., and Karpova, L. (2024) Evaluation of the Capabilities of LDPC Codes for Network Applications in the 802.11ax Standard. IoT Based Control Networks and Intelligent Systems. Lecture Notes in Networks and Systems, 789. Singapore: Springer. https://doi.org/10.1007/978-981-99-6586-1_25.

5. Boiko, J., Pyatin, I., and Eromenko, O. (2020) Simulation of the Transport Channel with Polar Codes for the 5G Mobile Communication. In: Proceedings of the 2020 IEEE International Conference on Problems of Infocommunications. Science and Technology (PIC S&T), Kharkiv, 06–09 October 2020, 182–186. IEEE Press. http://doi.org/10.1109/PICST51311.2020.9468013.

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