Zubenko V. Methods of construction and decoding of cascade codes constructions with the improved properties

Research object is process of increase of antijammingness of the discrete messages passing with the use of cascades codes constructions with improved properties. Research purpose is increase of antijammingness of the discrete messages passing on the basis of the use of cascades codes constructions with improved properties. Research methods are the methods of algebra of codes, theories of the fields of Galois and theory of numbers for development and research of cascades codes constructions with improving properties; methods of statistical communication theory, probability and mathematical statistics theories for research of antijammingness of the discrete messages passing with the use of cascades codes constructions; methods of automata and theory of complication theory for development of suggestions on realization of cascades codes with properties and estimations of complication of algorithms. Scientific novelty: 1. Method of construction of cascades codes constructions, different from known by analytical description of underlying structure and features of synthesis of codes words, by the offered algebraic procedures of encoding through transformation of elements of component codes taking into account power of alphabet of characters, that allows to generalize the synthesized cascades constructions in case of unbinary sequences with a exchange by the soft decisions. 2. The method of the soft decoding of cascades codes constructions is improved with the exchange of soft decisions, which differs from the known methods by the offered procedure of forming of the system of verifications equalizations with the most reliable codes characters calculation of soft decisions about the value of the decoded characters and their exchange, that allows to realize the rapid decoding of codes words of component codes on the criterion of minimization of erroneous reception of characters of information message and to accelerate, thus, process of turbo?-decoding of cascades.3. Got further development method of estimation of antijammingness of the discrete messages passing in ducting with by chance nascent errors, different from known by the offered procedure of the statistical testing of the adopted sequence for empiric estimation of probability of error on a bit on the output of decoder at the set border of confidence interval (exactnesses of estimation), that allows at the fixed correlation of energy of signal to the spectral closeness of power of noise to get reliable (with the set confiding probability) to dependence of antijammingness of the discrete messages passing. Practical results: 1. The algorithm of construction of cascades codes constructions is developed with the improved properties. A flow diagram is developed devices of the antijamming encoding and programmatic realization with the use of cascades codes with the improved properties, practical recommendations are given on his practical use. 2. The decoding algorithm of cascades codes constructions is developed with the exchange of soft decisions. The flow diagram of device is developed decodings and programmatic realization, recommendations are given on their practical use. 3. The simulation model of channel of the discrete messages passing is developed with the use of cascades codes constructions and method of decoding with a exchange by the soft decisions. Probabilities of erroneous reception of characters of report empiric to dependence are collected from correlation "signal-noise". It is set that application of the offered cascades codes constructions allows to reduce probability of error of decoding and to get the power winning 4,5 - 5,5 dB. 4. Drawn on got results in-process researches, conducted within the framework of "Conception of development of telecommunication in Ukraine", and can be used in an educational process researches works of the Ukrainian state academy of railway transport. Industry of the use is the telecommunications systems and networks.