Martynova O. Improving the effectiveness of block coding in the non-stationary Gilbert channels

The object of research is the formation of signal constructions for systems with base В = 1. Study Methods: the methods of mathematical statistics, analysis and computer simulation, using elements of the theory of noise-immune coding, complex signals, the theory of timer signal constructions, the theory of stability of systems with feedback. The Dissertation is dedicated to increasing the efficiency of Hilbert channels. The goal of the work is to study the algorithms of compensation in redundancy block codes by increasing the dimensionality of the signal constructions based on the timer signals. The novelty of the theoretical and practical results are as follows. For the first time expediency of replacement the information signal parameters - frequency, phase or amplitude of the carrier signal on the Nyquist interval by the duration of the signal, which is measured by the distance between the zero-sections of a bypass signal time axis was proved. The possibility of synthesis of identifying and correcting errors redundant codes with the information parameters reflected in segments - components of the signal constructions was theoretically proved. For the first time feasibility of conversion of the bandwidth incensement when using the timer signals in the Hilbert channels to compensate for the redundancy of the discharge-digital codes (DDC) was theoretically proved. For the first time the algorithm of implementation of block timer signal constructions (TSC) with the code rate twice more than in DDC with larger code distance for one-way transfer system was proposed and justified. Appropriateness of the synthesis of TSC which provides the conditions for constructing correcting codes based on the timer signals with coprime moduli modulus А0 and coefficients of quality Аі was proved. Analytical relations for the statistical parameters of the error flow from the mean value of distorted elements on the one distorted codeword was made. For the first time the lower limit of the number of the redundant elements in the group of q-element codes, which is the equivalent of the Varshamov-Hilbert boundary for binary codes was theoretically proved. The use of Hadamard matrices for the energy distribution of concentrated in time noise over the elements of TSC was theoretically justified. For the first time the inexpediency of using 1 Nyquist interval for 1 bit of information in the Hilbert binary channels was analytically proved. The algorithm of the adaptive system work with the division of detecting errors in TSC and correcting of some classes of errors without repetition was theoretically justified. The parameters of individual states of the Hilbert channel were experimentally determined. The effectiveness of the proposed algorithms was proved by the experiments of communication over the real channels and by the modeling. The results of this research were implemented into the educational process of the Odessa National Academy of Telecommunications n.a. A.S. Popov and "PC INVEX Telecom Ltd.”