Transmission Reliability of Transactions in Mechatronic Systems: Choice of Triplets for Noiseproof Code

Abstract

In order to provide the preset authenticity level of transfer of transactions by channels, for example, in mechatronic systems noise-resistant coding is required. Improvement of transfer authenticity is attained owing to the rational selection of triplets of the noise-resistant code by allowing to minimize the actual volume of transactions. The technology of selecting the said triplets presented in the work is based on comparison of functions which characterize probability of errors formation in transmission channels. One of the said functions includes probability W of errors formation having certain multiplicity in each code block when this is transmitted by the channel with the known speed of occurrence of bit errors. Another function is the limit allowed probability L of available residual errors in the code block when the required authenticity is achieved due to correction by means of the code of bit errors of certain multiplicity. Rational selection of noise-resistant code triplets with the aim of improvement of authenticity of transactions transfer is determined by the introduced criteria term W £ L. With the use of the proposed method of selection of the noise-resistant code triplets an assessment has been fulfilled for provision of the field of providing the limit allowed probability of available residual errors in code blocks and the requires authenticity of transactions transfer. The obtained results made it possible to form possible solutions of selecting the fixed triplets of the noise-resistant code depending on speed of bit errors in the transaction channel, authentic transfer of the transaction block, as well as its allowed total volume.