Smazhenko K. Compensation of redundancy in block codes based on timer signals

The object of research is the processes of integrating timer and classical noise immunity coding, which provide increasing of noise immunity and speed transmission of information in telecommunication systems. Subject of research is a method of compensation of redundancy block blocking codes based on timer signal constructions. The methods of research. For the solving given tasks in the dissertation were used the methods for statistical theory of communication and information theory. The methods of combinatorics, signal theory, and noise immunity coding were used to develop methods for integrating timer and classical noise immunity coding. In the research of methods of modulation and demodulation of timer signal constructions based on the multiplexing of pulses of non-positional signal constructions with orthogonal frequency division was used a theory of correlation, spectral analysis and methods of statistical and simulation modeling. Theoretical and practical results: further development of the theory of timer coding for the integration with the classical theory of block noise immunity coding, which gives an opportunity to increase the corrective property and speed of information transmission in telecommunication systems by compensating the redundancy of the digital code; the method of compensation of redundancy for block codes was proposed by using timer signals, which enabled to increase the code speed and reduce the probability of an undetected error for code with paired number of units with a value 1,33×10 3 до 1,0×10 6 for Hamming codes with small combinations of lengths from a value of 1,6×10 6 to 1,6×10 12 and for a code with a ratio of ¾ from a value of 4,0×10 6 to 1,0×10 8 ; the block code of Splepian (9.5) was improved by increasing the set of syndromes to increase its corrective ability to a minimum code velocity d 0 = 5, and a mechanism for compensating the redundancy of the digital code with timer signals was proposed, which makes it possible to increase the transmission speed almost twice (from 5/13 to 5/6,7) and reduce the probability of mistaken reception of an element by 4 orders of magnitude; for the first time, a method for forming excessive timer signals was proposed, which improves the quality of decoding codewords by separating sets of vectors of syndromes for detection and correction of errors; for the first time, the method of modulation and demodulation of timer signal constructions is proposed, which increases the noise immunity and speed of information transmission.