ANALYSIS OF THE TRANSMISSION RELIABILITY BETWEEN CONTROL SYSTEMS DEVICES WHEN ERRORS ARE PACKAGED

Authors

  • V. I. Freyman Perm National Research Polytechnic University, Perm, Russian Federation

DOI:

https://doi.org/10.15588/1607-3274-2019-4-21

Keywords:

Іnformation and control systems, reliability, noise stability, redundancy, cyclic codes, error packet, simulation.

Abstract

Context. The reliability indicators of information transmission between control systems elements, taking into account the packaging
(grouping) of errors in the communication channel, are analyzed. The research object are the characteristics and parameters of
noise stability cyclic binary and non-binary codes for the correction of error packets. The research subject is a theoretical and experimental
comparative analysis of the reliability indicators of codes for correcting error packets.
Objective. The purpose of the work is to determine the analytical dependencies of the reliability indicators of the selected redundant
codes from their parameters and the communication channel properties develop models for their experimental research, formulate
recommendations for choosing codes with preset characteristics with certain properties, and an error description model.
Methods. The math methods and building theory of noise stability cyclic binary (BCH) and non-binary (Reed-Solomon) codes
are used. The analytic formulas for determination of reliability indicators taking into account bits distortions within error packet are
received. The dependencies for corrective properties and correct transmission probability form codes and error parameters are researched,
the illustrating examples are shown. The simulation circuit design models for control systems with researched methods of
noise stability encoding are developed. The experimental research has been done, based on the results, conclusions and recommendations
for choice of code parameters for preset reliability indicators for providing of maximum efficiency (information rate) are made.
Results. The dependencies of the reliability indicators (correct transmission probability) and the corrective properties (the length
of corrected errors packet) from its parameters (the number of redundancy symbols, the interleaving degree – for BCH-codes; the
Galua field module, number of corrected errors – for Reed-Solomon codes) are received. The recommendations of using the received
results for code parameters choice are given.
Conclusions. The performed researches allows calculate and reasonably choose of redundancy codes parameters for preset reliability
indicators и the behavior model of errors within the communication channel. It makes possible to design and implement reliable
control systems with preset reliability indicators and maximum information rate.

Author Biography

V. I. Freyman, Perm National Research Polytechnic University, Perm

Doctor of Technical Science, Professor of Department «Automatics and telemechanics»

References

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, Perm State Technical University, 2007, 317 p.

Blahut R. E. Theory and practice of error control codes. Massachusetts, Addison-Wesley Publishing Company Incorporated,

, 576 p.

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

systems, 2017 IEEE Conference of Russian young researchers in electrical and electronic engineering : 1–3 February

: proceedings. Saint-Petersburg, Saint-Petersburg Electrotechnical University «LETI», 2017, P. 831–837.

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

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

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

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

Kumar A. A., Makur A. Improved coding-theoretic and subspace-based decoding algorithms for a wider class of

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

Freyman V. Research of the Reed-Solomon codes characteristic for realization within control systems devices, Radio

electronics, Computer science, Control, 2019, No. 3 (50), pp. 143–151

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 re-searchers in electrical and electronic

engineering, 1–3 February 2017, proceedings. Saint-Petersburg, Saint-Petersburg Electrotechnical University

«LETI», 2017, P. 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.

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 Journal of Electrical, Electronics and Communication Engineering, 2012, Vol. 2 (6), pp. 359–365.

Published

2019-11-25

How to Cite

Freyman, V. I. (2019). ANALYSIS OF THE TRANSMISSION RELIABILITY BETWEEN CONTROL SYSTEMS DEVICES WHEN ERRORS ARE PACKAGED. Radio Electronics, Computer Science, Control, (4), 223–231. https://doi.org/10.15588/1607-3274-2019-4-21

Issue

Section

Control in technical systems