The Formation of Signal Construct of Complex Structures with a High Level of Uncertainty in Their Parameters

Radio communication systems with enhanced resistance to illegitimate influences are of great interest in the development of modern information technologies. The modern methods of implementing such radio systems are the technologies of cryptographic information protection, methods of direct spectrum expansion. Despite the achievements of the selected subject area, the practical implementation of radio systems of this level is hampered by models of radio communication channels. Known results in their totality do not take into account the potential capabilities of implemented modulation formats, which limits their practical application and indicates the relevance of the study. The aim of the scientific work is to formalize theoretical principles and approaches to the formation and evaluation of the effectiveness of signals of complex structure. The authors posed and solved the problem of a formalized presentation of the obtained solutions, conducted a critical analysis of the results obtained by different methods. In this case, methods of statistical radio engineering, harmonic analysis of discrete signals, random graph theories, and decision making were used. The authors conducted a simulation of the processes of manifestation of various structures of the generated signals. The coincidence of theoretical and practical results is substantiated. During the study, the properties of signals of complex structures were determined. A theoretical statement is formulated and proved that justifies the increase in the structural secrecy properties of the generated radio signals. The novelty of the approach is the use of random graph theory, which has reduced the complexity of the evidence base, the stages of simulation. The theoretical results obtained are critically evaluated in relation to the final modeling data, which made it possible to substantiate the adequacy of the results. The obtained solutions substantiate theoretical approaches to the formation of signal construct of complex structure. In contrast to the known studies, the study reveals the potential stability boundaries of radio systems based on signals with uncertain parameters. The theoretical significance of the presented results is the expansion of the practical implementation of the methods of the general theory of communication in the field of building noise-immune systems. Practical significance is based on the results of analytical and simulation modeling presented in the work.