DEVELOPMENT OF METHOD OF DECODING BLOCK CODES BASED ON DIFFERENTIAL EVOLUTION PROCEDURE

Authors

  • Valerii Kozlovskyi National aviation University, Kiev, Ukraine
  • Mykola Stompel Ukrainian State University of Railway Transport, Kharkiv, Ukraine
  • V. Lysechko Ukrainian State University of Railway Transport, Kharkiv, Ukraine
  • Oleksii Komar National aviation University, Kiev, Ukraine
  • V. Drobyk National aviation University, Kiev, Ukraine

DOI:

https://doi.org/10.18372/2310-5461.58.17654

Keywords:

radio communication, decoding, block code, optimization, differential evolution

Abstract

The approach of soft decoding of block codes based on determining the most reliable basis of the generator matrix and applying the differential evolution procedure is proposed. The choice of this search optimization procedure was made as a result of the analysis of the features and limitations of evolutionary optimization procedures. The scheme and the essence of the main stages of the developed method of soft decoding of block codes are presented. At the first stage, a hard decision is formed and the received word syndrome is calculated. After that, the received symbols are ranked by reliability and the generator matrix of the block code is transformed into the corresponding most reliable basis. Next, a differential evolution procedure is applied to search for the most probable transmitted information message and a binary codeword. Decoding is completed by inverse transformation of the found most probable binary codeword by rearranging the corresponding elements. It is shown that the key stage of decoding is the search for the transmitted codeword using the differential evolution procedure, and the formation of the most reliable basis of the generator matrix of block code makes it possible to increase the decoding efficiency. In order to be able to technically implement this decoding method, an appropriate algorithm has been developed and its main steps are given. The results of the work can be used for the implementation of new generation radio communication technologies to improve the reliability of the transmission of service messages. It is also recommended to use the obtained results when solving the problem of decoding other error-correcting code structures that are used in modern telecommunication technologies.

Author Biographies

Valerii Kozlovskyi, National aviation University, Kiev, Ukraine

Doctor of technical Sciences, Professor,

head of the Department of Information Protection

Mykola Stompel, Ukrainian State University of Railway Transport, Kharkiv, Ukraine

Doctor of technical Sciences, Professor, Professor of the Department of Transport Communication

V. Lysechko, Ukrainian State University of Railway Transport, Kharkiv, Ukraine

Doctor of technical sciences, associate professor, department of transport communications

Oleksii Komar, National aviation University, Kiev, Ukraine

Candidate of Technical Sciences, associate professor,

Associate Professor of the Department of Information Protection

References

Saad W., Bennis M., Chen M. A vision of 6G wireless systems: Applications, trends, technologies, and open research problems. IEEE Network. 2020. Vol. 4, No 3. P. 134 – 142. doi: https://doi.org/10.1109/MNET.001.1900287

Giordani M., Polese M., Mezzavilla M., Rangan S., Zorzi M. Toward 6G networks: Use cases and technologies. IEEE Communication Magazine. 2020. Vol. 58, No 3. P. 55 – 61. doi: https://doi.org/10.1109/MCOM.001.1900411

Ryan W., Lin S. Channel codes: Classical and modern. Cambridge University Press, 2009. 692 p. doi: https://doi.org/10.1017/cbo9780511803253

Adde P., Toro D. G., Jego C. Design of an efficient maximum likelihood soft decoder for systematic short block codes. IEEE Transactions on Signal Processing. 2012. Vol. 60, No 7. P. 3914 – 3919. doi: https://doi.org/10.1109/TSP.2012.2193575

Deng L., Liu Z., Guan Y. L., Liu X, Aslam C. A., Yu X., Shi Z. Perturbed adaptive belief propagation decoding for high-density parity-check codes. IEEE Transactions on Communications. 2021. Vol. 69, No 4. P. 2065 – 2079. doi: https://doi.org/10.1109/TCOMM.2020.3047085

Li Y., Liu H., Chen Q., Truong T.-K. On decoding of the (73, 37, 13) quadratic residue code. IEEE Transactions on Communications. 2014. Vol. 62, No 8. P. 2615 – 2625. doi: https://doi.org/10.1109/TCOMM.2014.2333663

Berbia H., Elbouanani F., Romadi R., Benazza H., Belkasmi M. Genetic algorithm for decoding linear codes over awgn and fading channels. Journal of Theoretical and Applied Information Technology. 2011. Vol. 30, No 1. P. 35 – 41.

Berkani A., Azouaoui A., Belkasmi M., Aylaj B. Improved decoding of linear block codes using compact genetic algorithms with larger tournament size. International Journal of Computer Science Issues. 2017. Vol. 14, No 1. P. 15 – 24. doi: https://doi.org/10.20943/01201701.1524

Жученко А. С., Панченко Н. Г., Панченко С. В., Штомпель Н. А. Метод декодування линійних блокових кодів на основі популяційних процедур пошукової оптимізації. Інформаційно-керуючі системи на залізничному транспорті. 2016. Вип. 2 (117). С. 25–29. doi: https://doi.org/10.18664/ikszt.v0i2.69000

Price K., Storn R. M., Lampinen J. A. Differential evolution: A practical approach to global optimization. Springer, 2005. 539 p. doi: https://doi.org/10.1007/3-540-31306-0.

Published

2023-07-18

Issue

Section

Electronics, telecommunications and radio engineering