Radzimovskiy B. Synthesis of telecommunication signals on the basis of chaotic oscillations

Object - the processes of converting signals in radio and telecommunications systems. Subject of the research - ensembles of noise-shaped chaotic signals with high information capacity. Research methods: methods of chaotic dynamics of nonlinear discrete-time systems, the statistical theory of communication and information theory were used during the research of generators of chaotic oscillations; methods of combinatory, theory of information security, correlation and spectral analysis were used during the development of methods of synthesis of the large ensembles of noise signals (multi-level and binary); methods of probability theory and mathematical statistics, the theory of error-correcting coding and methods of statistical and simulation modeling were used during the research of the correlation and ensemble properties of the synthesized noise-like signals, during the assessing of their secrecy and noise immunity. Theoretical and practical results: the principle of conversion of chaotic oscillations of discrete maps of nonlinear dynamic systems for the synthesis of noise-like signals was theoretically made; nonlinear methods of the synthesis of large ensembles of noise-like signals as a Gaussian type of multi-level and binary signals with improved structural and ensemble properties based on the chaotic oscillations were proposed; a method of the synthesis of large ensembles of pseudorandom sequences with the required set of length was proposed; a method of the synthesis of the maximum volume of subsets of quasi-orthogonal binary sequences with optimal criterion equidistance code distance in the Hamming metric was proposed; experimental studies were made and the statistical characteristics of the synthesized signal were calculated, the estimation of their energy, structural and information secrecy was made; a number of programs for hardware and software synthesis of noise-like signals, which are practically implement the proposed methods were made; the algorithms for transmission of information in radio and telecommunications systems based on synthesized signals were proposed and investigated; the obtained results are suitable for engineering design of radio and telecommunication systems.