The third decisive scheme is a promising new direction for improving the efficiency of receiving and processing complex broadband noise-like signals
Ivan I. Snytkin1, Ilya E. Afonin1, Dmitry G. Zaharenko1
1Krasnodar Higher Military Aviation School of Pilots.
DOI 10.24412/2410-9916-2026-1-086-138
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Relevance. At certain stages of the development of the theory and practice of designing and creating information transmission systems (ITS), certain scientific and technical categories and concepts were formed (as objectively necessary), which made it possible to carry out research (analysis and synthesis) at a systematic professional level ITS; professional and special dialogue between scientists, designers, practitioners; progressive development of the theory of ITS. For example, the categories that have abbreviated the process of using information signals in ITS -- simple and narrow-band -- in particular, include: "first" and "second" formative circuits (FFC and SFC), "first" and "second" decisive circuits (FDC and SDC). Since the beginning and widespread use of complex broadband signals (broadband noise-like signals -- BDLS or BBS) based on pseudorandom sequences (PRS), complex discrete and digital methods of modulation, digital communication, etc., the processes of formation, reception and processing of BBS required the introduction of new scientific and technical professional methods. necessary categories, for example: "broadband modulation", "correlation reception", etc. And the tasks that have arisen are to develop and study the correlation properties of all new classes of BBS with improved noise-proof and special properties (in terms of secrecy, imitation resistance, cryptographic resistance, etc.), for example, -- classes of derivatives and composite BBS have led to the need to: review the validity and expediency of using the thesis "randomness" in relation to the correlation functions (CRF) of BBS, and introduce into theory and practice the thesis "determinism" of the CRF of BBS to improve the efficiency of receiving and processing BBS and the reliability of information transmission within the framework of new methods and scientific and technical schemes. Over the past 20 years, the authors of this article have begun to refer to such methods and schemes as an emerging new necessary category -- the "third decisive scheme" (TDS) -- as a set of algorithms, mathematical models, methods and technical solutions --devices that significantly improve the efficiency of reception and processing procedures, primarily derivatives and composite BBS based on the use of properties and patterns of determinacy of the CRF BBS. The aim of the paper is to review the scientific and practical publication process for the development of the TDS category and the study of the properties and patterns of the CRF PRS (as the basis of BBS) in the form of derivatives of nonlinear recurrent sequences (NLRS), which have the most promising (currently) and wide range of applications in ITS, which are subject to high requirements for noise immunity (noise immunity, various types of stealth type, image security), cryptographic stability, and information security in general. Methods used: modeling (mathematical, structural), including machine modeling, mathematical formalization of the properties and patterns of determinism of the CRF. Results. The article provides an overview of the results of modeling the TDS method, the properties and patterns of determinism of the CRF (partial auto- and intercorrelation functions) of the NLRS, and technical solutions for the implementation of TDS. Practical significance. Is to acquaint specialists in the field of BBS with the essence, results of the development of methods and methods of TDS, studies of the properties and patterns of determinism of the CRF of NLRS, which have certainly wide practical application.
Key words
correlation function, partial autocorrelation and intercorrelation functions, complex noise-like signals, pseudorandom sequences, derived nonlinear recurrent sequences, NLRS, third decision scheme, first and second decision schemes, correlation technique, determinacy of the correlation function, properties and patterns of determinacy of correlation functions, A-synchronization and B-synchronization of NLRS, sequence of coincidence numbers, types, types, classes of double (D) NLRS.
Reference for citation
Snytkin I. I., Afonin I. E., Zaharenko D. G. The third decisive scheme is a promising new direction for improving the efficiency of receiving and processing complex broadband noise-like signals. Systems of Control, Communication and Security, 2026, no. 1, pp. 86-138. DOI: 10.24412/2410-9916-2026-1-086-138 (in Russian).
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