350 rub
Journal Science Intensive Technologies №8 for 2023 г.
Article in number:
Synthesis method of orthogonal encoding and decoding matrices based on integers, providing the implementation of code division of channels
Type of article: scientific article
DOI: https://doi.org/10.18127/j19998465-202308-10
UDC: 621.391.1
Authors:

A.V. Rabin1, A.A. Ovchinnikov2, S.V. Rabin3, A.A. Zyulkov4

1–4 FSAEI HE «St. Petersburg State University of Aerospace instrumentation» (SUAI) (St. Petersburg, Russia)
1 alexey.rabin@guap.ru, 2 mldoc@guap.ru, 3 rabinserge@gmail.com, 4 seedmp322@yandex.ru

Abstract:

Formulation of the problem. The volume of information that needs to be transmitted over switched communication channels doubles every year, and therefore there is a need for switching equipment that would provide fast and high-quality connections to subscribers.

The technical implementation of such switching devices requires large production costs. The task arises of developing and researching switching devices built on simpler schemes.

Goal. Reduce the complexity of encoding and decoding devices in communication systems with channels’ division.

Results. The synthesis method of encoding and decoding matrices is proposed for implementing a code division of channels regardless of the number of users. The synthesis and implementation of theses pairs of matrices will significantly simplify the schemes for constructing encoding and decoding devices. The simplicity of these schemes allows us to hope for the widespread implementation of such devices on many communication lines.

Practical significance. The research results can be used to ensure reliable information transmission in various communication technologies, in real-time systems, in distributed systems and on-board equipment complexes.

Pages: 54-60
References
  1. Liang Y., Goldsmith A. and Effros M. Source-channel coding and separation for generalized communication systems. IEEE Infor-mation Theory Workshop, Lake Tahoe, California. 2009. P. 48.
  2. Proakis J.G. Digital communications. New York: McGraw Hill. 2007. 1150 p.
  3. Sklar B. Digital communications: fundamentals and applications. Prentice Hall Communications Engineering and Emerging Technolo-gies Series. 2017. 1104 p.
  4. Prucnal P.R. Optical code division multiple access: fundamentals and applications. CRC Press. 2019. 400 p.
  5. Yousif A.H., Zeghid M., Imtiaz W.A. and Sharma T. Two-dimensional permutation vectors’ (PV) code for optical code division multi-ple access systems. Entropy. 2020. № 22. Iss. 5. 576 p.
  6. Morsy A., Morsy I., Abdulaziz A. and Osama H.G. Performance analysis of optical code division multiple access networks for multi-media applications using multilength weighted modified prime codes. Optical Engineering. 2019. V. 58. Iss. 3. Nomer stat'i 035101.
  7. Cover T., El Gamal A. and Salehi M. Multiple access channels with arbitrarily correlated sources. IEEE Transactions on Information Theory. 1980. № 26. Iss. 6. P. 648–657.
  8. Telang V.P. and Herro M.A. Error control coding for the N-user mod-2 multiple-access channel. IEEE Transactions on Information Theory. 1998. № 44. Iss. 4. P. 1632–1642.
  9. Stanley R.P. Smith normal form in combinatorics. Journal of Combinatorial Theory, Series A. 2016. № 144. P. 476–495.
  10. Vinar P.O., Rabin S.V., Rabin A.V. Synthesis method of orthogonal encoding and decoding matrices based on integers, providing the implementation of code division of channels. Journal of Physics: Conference Series. 2021. V. 2094. Iss. 3. Nomer stat'i 032065.
  11. Rabin A.V. Realizaciya kodiruyushchih i dekodiruyushchih ustrojstv v telekommunikacionnyh sistemah s ortogonal'nym kodirovaniem. Uspekhi sovremennoj radioelektroniki. 2018. № 12. S. 116–120.
  12. Rabin A.V., Dobrosel'skij M.A., Lipatnikov V.A. Issledovanie harakteristik pomekhoustojchivosti pri ispol'zovanii ortogonal'nogo kodirovaniya. Voprosy radioelektroniki. Ser. «Obshchetekhnicheskaya». 2018. № 10. Vyp. 6. S. 80–85.
  13. Rabin A.V. Soglasovanie simvolov ortogonal'nyh kodov s otnositel'noj fazovoj modulyaciej. Datchiki i sistemy. 2018. № 12(231).
    S. 37–43.
  14. Rabin A.V., Michurin S.V., Lipatnikov V.A. Razrabotka klassa sistemnyh i obratnyh sistemnyh matric, obespechivayushchih povyshenie pomekhoustojchivosti spektral'no-effektivnyh modulyacionnyh skhem na osnove ortogonal'nogo kodirovaniya. Voprosy radio­elektroniki. Ser. «Obshchetekhnicheskaya». 2018. № 10. Vyp. 6. S. 75–79.
  15. Rabin A.V., Rabin S.V. Svidetel'stvo o gosudarstvennoj registracii programmy dlya EVM № 2022685961 Rossijskaya Federaciya. Model' sistemy peredachi informacii s arifmeticheskim kodovym razdeleniem kanalov: № 2022686272: data po-stupleniya 29.12.2022: data gos. registracii v Reestre programm dlya EVM 29.12.2022. A.V. Rabin, S.V. Rabin; pravooblada-tel' GUAP – 1 s.
  16. Rabin A.V., Rabin S.V. Svidetel'stvo o gosudarstvennoj registracii programmy dlya EVM № 2022685962 Rossijskaya Federaciya. Imitacionnaya model' sistemy peredachi informacii s razdeleniem kanalov posredstvom svertochnyh kodov: № 2022686273: data postupleniya 29.12.2022: data gos. registracii v Reestre programm dlya EVM 29.12.2022. A.V. Rabin, S.V. Rabin; pravoobladatel' GUAP – 1 s.
Date of receipt: 09.11.2023
Approved after review: 15.11.2023
Accepted for publication: 20.11.2023