NOISE IMMUNITY CODES DISPLAY IN RELIABILITY CORDINATES
DOI:
https://doi.org/10.20535/2411-2976.22015.13-17Keywords:
noise immunity codes, block and convolutional codes, maximum possibilities of error-correcting, Plotkin’s and Varshamov-Gilbert’s boundaries, error of symbols, necessary reliability.Abstract
Background. Noise immunity codes are widely used in the modern telecommunication systems. The methodology of properties count of convolutional codes, offered by authors before, to the equivalent parameters of block codes gave the opportunity to use the known and new methodologies of estimation of noise immunity block codes for the corresponding estimations of convolutional codes.
Objective. The purpose of this paper is the estimation of maximum possibilities of block and convolutional noise immunity codes in the reliability co-ordinates on the basis of accordance of their equivalent parameters.
Methods. Based on Plotkin’s and Varshamov-Gilbert’s boundaries usage the lines of theoretic error-correcting boundary of block and convolutional codes are built in reliability coordinates. The lines allow finding maximum channel probability of error for which error-correcting code exists that can ensure necessary reliability.
Results. Due to search methodic of convolutional code parameters that are equivalent by correcting abilities to block code parameters, complex assessment of error-correcting, informational and forming complexity properties is made on different kinds of error-correcting codes.
Conclusions. For each probability of symbol errors in a communication channel it is possible to estimate the expedience of the use of block and convolutional codes from the standpoint of the necessary reliability provision, informative efficiency and complication of encoding. Investigational limits allow defining maximally possible probability of error, at which there is a code, able to provide necessary authenticity on the output of decoder.
Key words: noise immunity codes; block and convolutional codes; maximum possibilities of error-correcting; Plotkin’s and
Varshamov-Gilbert’s boundaries; error of symbols; necessary reliability.
References
Basics of telecommunication theory: Handbook/ Korneyko OV, OV Kuvshinovo etc .. // Ed. M.Y.Ilchenko. - 2010. - ISSZI NTU "KPI" - 786 p.
Clark and Cain, "Error Correction Coding for Digital Communications", Plenum 1988
Robert H Morelos-Zaragoza. The art of error correcting coding / R. Morelos-Zaragoza – by Jon Wiley&Sons, 200
Uryvsky L. Prokopenko E. Error-correcting block code choose conditions in the channel with given reliability // Journal of Engineering Academy of Ukraine.– 2011. – № 1. - p.p. 151-154.
Uryvsky L. Pieshkin A. Assessment of boundary correcting abilities of convolutional codes through equivalent parameters of block codes. – K.: ITS NTUU “KPI”, VІІ International STC «Problems in telecommunication»,
Sourcebook. – 2013, p.p. 350…353.
Uryvsky L. Prokopenko E. Pieshkin A. The Convolutional Codes Analysis Technique on the Optimum Block Codes Grounds. – Journal of Information & Telecommunication Sciences. – № 2, 2014. – p.p. 8-13.
