350 rub
Journal Science Intensive Technologies №8 for 2023 г.
Article in number:
On the use of circulant polynomial matrices for code-division of channels
Type of article: scientific article
DOI: https://doi.org/10.18127/j19998465-202308-09
UDC: 621.391.1
Authors:

S.V. Rabin1

1 FSAEI HE «St. Petersburg State University of Aerospace instrumentation» (SUAI) (St. Petersburg, Russia)
1 rabinserge@gmail.com

Abstract:

Formulation of the problem. Currently, the desire for the development of code-division access technology is explained by an increase in subscriber density, resistance to interference, as well as a high degree of protection of transmitted data from unauthorized access.

Goal. Reducing the complexity of code channel division schemes through the use of the developed method for synthesizing coding matrices based on polynomials and its extension.

Results. The application of a previously developed method for synthesizing circulant polynomial matrices to implement code channel separation is considered. The structure of the synthesized matrices is the basis for reducing the complexity of encoding schemes and, consequently, the radiated power of radio transmitters of subscriber devices. The limitation of the application of the method and its use under the conditions of this limitation are considered.

Practical significance. The developed method can be applied in communication systems with multiple access, with a wide coverage area, high quality of data transmission, high noise immunity, stability of communication channels from interception and eavesdropping.

Pages: 49-53
References
  1. Proakis J.G. Digital communications. New York: McGraw Hill. 2007. 1150 p.
  2. Sklar B. Digital communications: fundamentals and applications. Prentice Hall Communications Engineering and Emerging Technolo-gies Series. 2017. 1104 p.
  3. Talib M.F., Rahman A.K., Anuar M.S., Rashidi C.B.M. and Aljunid S.A. A novel hybrid optical code division multiple access in free space optical communication. 6th International Conference on Photonics. 2016. Nomer stat'i 7510039.
  4. Cover T., El Gamal A. and Salehi M. Multiple access channels with arbitrarily correlated sources. IEEE Transactions on Information Theory. 1980. № 26. Iss. 6. R. 648–657.
  5. Davis P.J. Circulant matrices. 2nd ed. New York: Chelsea. 1994. 250 p.
  6. Higham N.J. Functions of matrices: theory and computation. Society for Industrial and Applied Mathematics. 2008. 450 p.
  7. 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. R. 1632–1642.
  8. Vinar P.O., Rabin S.V., Rabin A.V. Synthesis method of circulant polynomial encoding matrices for the implementation of code-division multiplexing. Journal of Physics: Conference Series. 2021. V. 2094. Iss. 3. Nomer stat'i 032067.
  9. Rabin A.V. Realizaciya kodiruyushchih i dekodiruyushchih ustrojstv v telekommunikacionnyh sistemah s ortogonal'nym kodirovaniem. Uspekhi sovremennoj radioelektroniki. 2018. № 12. S. 116–120.
  10. Rabin A.V., Dobrosel'skij M.A., Lipatnikov V.A. Issledovanie harakteristik pomekhoustojchivosti pri ispol'zovanii ortogonal'nogo kodirovaniya. Voprosy radioelektroniki. Ser. «Obshchetekhnicheskaya». 2018. № 10/2018. Vyp. 6. S. 80–85.
  11. Rabin A.V. Soglasovanie simvolov ortogonal'nyh kodov s otnositel'noj fazovoj modulyaciej. Datchiki i sistemy. 2018. № 12(231). S. 37–43.
  12. 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. № 10/2018. Vyp. 6. S. 75–79.
  13. 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; pravoobladatel' GUAP. 1 s.
  14. 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: 08.11.2023
Approved after review: 16.11.2023
Accepted for publication: 20.11.2023