RESEARCH OF THE PERFORMANCE OF CASCADE-CODE CONSTRUCTIONS WITH IMPROVED PROPERTIES

Abstract

The conducted studies have shown that cascade code constructions are a promising direction for the development of the theory of noise-resistant coding, and the improvement of methods and algorithms for ensuring the required noise resistance of discrete message transmission. The purpose of the research is to increase the noise-immunity of transmission of discrete messages based on the use of cascade code structures with improved properties in information systems and special purpose networks, including control and communication systems. This goal was achieved by applying the expediment of code algebra, Galois field theory and number theory to develop and study cascade code constructions with enhanced properties; expediments of statistical communication theory, probability theory and mathematical statistics to study the interference resistance of discrete message transmission using cascade code constructions; expediments of automata theory and complexity theory to develop proposals for implementing cascade codes with improved properties and to estimate the complexity of algorithms The solution of this goal is realized through the solution of partial tasks, namely: the development of a simulation model of a discrete message transmission channel; the study of an improved method for constructing cascade code structures with improved properties, the procedure for their synthesis and software implementation; the studying an improved decoding expedient based on a computational algorithm for decoding cascade code constructions with an iterative exchange of soft solutions with software implementation; and analyzing the interference resistance of discrete message transmission using cascade code constructions and substantiating practical recommendations for their implementation. The developed simulation model of the transmission channel of discrete messages made it possible to carry out an iterative procedure of statistical testing of the received code sequence for an empirical assessment of the probability of an error per bit at the output of the decoder at a given limit of the confidence interval. Scientific novelty. An enhanced procedure for estimating the probability of false reception of message symbols at a fixed signal-to-noise ratio. Practical significance. Experimental studies of the effectiveness of cascade code constructions carried out using the developed simulation model have shown that the practical application of the developed decoding method with iterative exchange of soft solutions allows to provide high noise immunity for the transmission of discrete messages.The empirical dependencies obtained as a result of modeling converge with the known results of solving similar problems and allow us to formulate recommendations for their use in cascade code constructions