DOI: https://doi.org/10.15588/1607-3274-2019-3-16

RESEARCH OF THE REED-SOLOMON CODES CHARACTERISTIC FOR REALIZATION WITHIN CONTROL SYSTEMS DEVICES

V. I. Freyman

Abstract


Context. Research of a Reed-Solomon codes characteristics for estimation of code and communication channel parameters influence at the reliability
and efficiency of information transmission between of control systems devices are performed. The research object is encoding with using
nonbinary redundant Reed-Solomon codes, the research subject is the theoretical and experimental studies of relation between the Reed-Solomon
codes characteristics and their parameters and transmission channel properties. The purpose is characteristics and properties relation analysis for their
using within encoding and decoding procedures at software of control systems devices.
Methods. The math methods and Reed-Solomon codes building theory are used. The formulas for information transmission reliability estimation
with using Reed-Solomon codes taking into account of code character and individual data bits distortions are received. The dependencies of correct
transmission probability from the code and transmission channel parameters are researched. The dependencies of efficiency indicators (information
rate) of transmission with using the Reed-Solomon codes from code parameters are received and researched. The simulation of control system with
using selected method of the noise stability encoding is done. The encoding and decoding procedures for their adaptation and using within control
systems devises software are realized.
Results. The dependencies of the Reed-Solomon codes reliability indicators (correct transmission probability) and the efficiency indicators (information
rate) from its parameters (Galua field module, number of corrected errors, code shortening degree) are received. The recommendations for
using results for code parameters selecting are done. The control system model with using MathWorks MatLab Simulink is created and configured.
The software modules with encoding and decoding procedures for their practical realization within embedded software of control systems devices are
developed.
Conclusions. The performed research illustrates the dependence of the reliability and efficiency indicators of information transmission from the
Reed-Solomon codes parameters. This allows design reliable control systems with preset level of reliability than provided by a reasonable selection of
Reed-Solomon code parameters

Keywords


Information and control systems, reliability, noise stability, encoding, forward error correction, simulation

References


Freyman V., Bezukladnikov I. Research and application of noise stability providing methods at information and control systems,

IEEE Conference of Russian young researchers in electrical and electronic engineering : 1–3 February 2017 : proceedings. St.

Petersburg, St. Petersburg electrotechnical university «LETI» Publ., 2017, pp. 831–837.

Blahut R. E. Theory and practice of error control codes. Massachusetts, Addison-Wesley publishing company Inc., 1986, 576 p.

Kon E. L., Freyman V. I., Yuzhakov A. A. Soft decoding based fuzzy logic for processing of elementary signals within data transmission channels of distributed control systems, 2017 Systems of signal synchronization, generating and processing in telecommunications, 3–4 July 2017 : proceedings. Moscow, Media-publisher, 2017, pp. 1–6.

Freyman V., Kavalerov M. Application of fuzzy logic for decoding and evaluation of results within the process of information system components diagnosis, 2017 IEEE Conference of russian young researchers in electrical and electronic engineering, 1–3 February 2017, proceedings. St. Petersburg, St. Petersburg electrotechnical university «LETI» Publ., 2017, pp. 134–139.

Freyman V. Methods and algorithms of soft decoding for signals within information transmission channels between control systems elements, Radio electronics, Computer science, Control, 2018, No. 4 (47), pp. 226–235.

Kon E. L., Freyman V. I. The theory of telecommunications. The noise stability data transmission within information and control and telecommunication systems: models, algorithms, structures. Perm, PSTU Publ., 2007, 317 p.

Sklar B. Digital communications. Fundamentals and applications. Second edition. New Jersey, Prentice Hall Ptr., 2001, 1079 p.

Fink L. M. Signals, noise, errors, Radio and communication Publ., 1984, 256 p.

Pahomov G. I., Freyman V. I. The theory of telecommunications. The general terms. Perm, PSTU Publ., 2007, 115 p.

Viterbi A. J., Omura J. K. Principles of digital communication and coding. New York, McGraw-Hill, 2009, 584 p.

Kumar A. A., Makur A. Improved coding-theoretic and subspacebased decoding algorithms for a wider class of DCT and DST

codes, IEEE Transactions on Signal Processing, 2010, Vol. 58, No. 2, pp. 695–708.

Morelos-Zaragoza R. The art of error correcting. Malden, Wiley Publ., 2006, 269 p.

MATLAB Documentation [Electronic resource]. Access mode:http://www.mathworks.com/help/matlab/.

Bhargava K. Efficient implementation of error correction coding in a communication system by using VHDL, VSRD International J. of Electrical, Electronics and Communication Engineering, 2012, Vol. 2 (6), pp. 359–365.


GOST Style Citations


1. Freyman V. Research and application of noise stability providing methods at information and control systems / V. Freyman, I. Bezukladnikov // 2017 IEEE Conference of Russian young researchers in electrical and electronic engineering : 1–3 February 2017 : proceedings. – St. Petersburg : St. Petersburg electrotechnical university «LETI» Publ., 2017. – P. 831–837.
2. Blahut R. E. Theory and practice of error control codes / R. E. Blahut. – Massachusetts : Addison-Wesley publishing company Inc., 1986. – 576 p.
3. Kon E. L. Soft decoding based fuzzy logic for processing of elementary signals within data transmission channels of distributed control systems / E. L. Kon, V. I. Freyman, A. A. Yuzhakov // 2017 Systems of signal synchronization, generating and processing in telecommunications : 3–4 July 2017 : proceedings. – Moscow : Media-publisher, 2017. – P. 1–6.
4. Freyman V. Application of fuzzy logic for decoding and evaluation of results within the process of information system components diagnosis / V. Freyman, M. Kavalerov // 2017 IEEE Conference of Russian young researchers in electrical and electronic engineering : 1–3 February 2017 : proceedings. – St. Petersburg : St. Petersburg electrotechnical university «LETI» Publ., 2017. – P. 134–139.
5. Freyman V. Methods and algorithms of soft decoding for signals within information transmission channels between control systems elements / V. Freyman // Radio electronics, Computer science, Control. – 2018. – № 4 (47). – P. 226–235.
6. Кон Е. Л. Теория электрической связи. Помехоустойчивая передача данных в информационно-управляющих и телекоммуникационных системах: модели, алгоритмы, структуры / Е. Л. Кон, В. И. Фрейман. – Пермь : ПГТУ, 2007. – 317с.
7. Sklar B. Digital communications. Fundamentals and applications. Second edition / B. Sklar. – New Jersey : Prentice Hall Ptr., 2001. – 1079 p.
8. Финк Л. М. Сигналы, помехи, ошибки / Л. М. Финк. – М. : Радио и связь, 1984. – 256 с.
9. Пахомов Г. И. Теория электрической связи. Основные понятия / Г. И. Пахомов, В. И. Фрейман. – Пермь : ПГТУ, 2007. – 115 с.
10. Viterbi A. J. Principles of digital communication and coding / A. J. Viterbi, J. K. Omura. – New York : McGraw-Hill, 2009. – 584 p.
11. Kumar A. A. Improved coding-theoretic and subspace-based decoding algorithms for a wider class of DCT and DST codes / A. A. Kumar, A. Makur // IEEE Transactions on Signal Processing. – 2010. – Vol. 58, № 2. – P. 695–708.
12. Morelos-Zaragoza R. The art of error correcting / R. Morelos-Zaragoza. – Malden : Wiley Publ., 2006. – 269 p.
13. MATLAB Documentation [Электрон. ресурс]. – Режим доступа: http://www.mathworks.com/help/matlab/.
14. Bhargava K. Efficient implementation of error correction coding in a communication system by using VHDL / K. Bhargava // VSRD International J. of Electrical, Electronics and Communication Engineering. – 2012. – Vol. 2 (6). – P. 359–365.






Copyright (c) 2019 V. I. Freyman

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Address of the journal editorial office:
Editorial office of the journal «Radio Electronics, Computer Science, Control»,
National University "Zaporizhzhia Polytechnic", 
Zhukovskogo street, 64, Zaporizhzhia, 69063, Ukraine. 
Telephone: +38-061-769-82-96 – the Editing and Publishing Department.
E-mail: rvv@zntu.edu.ua

The reference to the journal is obligatory in the cases of complete or partial use of its materials.