Generate QR code
Open Access
Subscription Access
Analytical model of a system for reading information from a pseudorandom code scale using the window method
https://doi.org/10.17586/0021-3454-2025-68-11-977-982
Abstract
An analytical model of a system for reading information from a pseudorandom code scale using the window method is proposed. The model is based on the theory of linear feedback shift registers and finite Galois fields. Special attention is paid to establishing a connection between the recursive structure of binary sequences of maximum length and their algebraic representation in the space of finite fields, where primitive polynomials generate multiplicative cyclic groups.
About the Authors
V. V. Alekseeva
Avangard JSC
Russian Federation
Russian Federation
Vlada V. Alekseeva — Digital Angle Converters Laboratory; Software Engineer
St. Petersburg
A. A. Ozhiganov
Avangard JSC
Russian Federation
Russian Federation
Aleksandr A. Ozhiganov — Dr. Sci., Professor; Digital Angle Converters Laboratory
St. Petersburg
References
1. Ozhiganov A.A. Journal of Instrument Engineering, 1987, no. 2(30), рр. 40–43. (in Russ.)
2. Ozhiganov A.A. Journal of Instrument Engineering, 1995, no. 11–12(38), pp. 37–39. (in Russ.)
3. Ozhiganov A.A. Izmeritelʹnaya Tekhnika, 2015, no. 5, pp. 28–32. (in Russ.)
4. MacWilliams, F.J., Sloane, N.J.A. Proceedings of the IEEE, 1976, vol. 64, рр. 1715–1729, DOI:10.1109/proc.1976.10411.
5. McEliece R.J. Finite Fields for Computer Scientists and Engineers, Kluwer, 1987.
6. Lidl R., Niederreiter H. Introduction to Finite Fields and Their Applications, Cambridge, 1986.
7. Blahut R.E. Theory and Practice of Error Control Codes, Addison-Wesley, 1983.
8. Peterson W.W., Weldon E.J., jr., Error Correcting Codes, 2nd edition, MIT Press, Cambridge, Mass., 1972.
9. Kasami T., Takura N., Iwadari E., Inagaki Y. Teoriya kodirovaniya (Coding Theory), Moscow, 1978, 576 р. (in Russ.)
Review
For citations:
Alekseeva V.V., Ozhiganov A.A. Analytical model of a system for reading information from a pseudorandom code scale using the window method. Journal of Instrument Engineering. 2025;68(11):977-982. (In Russ.) https://doi.org/10.17586/0021-3454-2025-68-11-977-982
Views:
13
Email this article 