I.I. Snytkin1, T.I. Snytkin2, D.G. Zakharenko3

1 Krasnodar Higher Military Aviation School of Pilots Named After the Hero of the Soviet Union A.K. Serov (Krasnodar, Russia)

2 FSI «27 CSRI» (Moscow, Russia)

3 Kuban State Technological University (Krasnodar, Russia)

In the works of the authors [1–6], devoted to the development of the theory of the «third decision scheme» (TDS), it is indicated that the effectiveness of TDS largely depends on the properties and patterns of determinism of partial autocorrelation functions (PACF) of specific types and types of double derivatives of nonlinear recurrent sequences (DNLRS). Therefore, the study of these properties and regularities is an important task related to the practical application of TRS in the interests of increasing the efficiency of the procedures for «receiving and processing» complex noise-like signals, which include DNLRS. Consider provisions that allow definitions of properties of determinism of general autocorrelation functions of double derivatives of recurrent sequences of «nested» type.

The results of modeling the deterministic properties of the PACF of the «nested» type DNLRS within the framework of the implementation of the TDS are presented, the regularities of the PACF are established and systematized, allowing them to be used to organize effective procedures for identifying types, species, classes, subclasses, searching, capturing and synchronizing the «nested» type DNLRS. The obtained theoretical provisions for modeling the properties and characteristics of the determinism of the PACF will allow them to be used in the construction of promising packet radio networks.

1. Snytkin I.I., Snytkin T.I. Obshchie osnovy modelirovaniya svoystv determinirovannosti chastnykh avtokorrelyatsionnykh funktsiy dvukratnykh proizvodnykh nelineynykh rekurrentnykh posledovatel'nosti v interesakh realizatsii «tret'ey reshayushchey skhemy». Nelineynyy mir. 2022. № 3. S. 54–61. DOI: https://doi.org/10.18127/j20700970-202203-06. [in Russian]
2. Snytkin I.I., Snytkin T.I. Razrabotka elementov teorii tret'ey reshayushchey skhemy priema proizvodnykh nelineynykh rekurrentnykh posledovatel'nostey. Nelineynyy mir. 2015. T. 13. № 5. S. 78–84. [in Russian]
3. Snytkin T.I. Analogovye rezhimy prinyatiya resheniya o prieme v teorii tret'ey reshayushchey skhemy. Nelineynyy mir. 2018. № 6. S. 27–30. [in Russian]
4. Snytkin I.I., Snytkin T.I. Algoritm realizatsii «tret'ey reshayushchey skhemy» povysheniya effektivnosti poiska i sinkhronizatsii slozhnykh shirokopolosnykh shumopodobnykh signalov. Elektromagnitnye volny i elektricheskie sistemy. 2021. № 3. T. 26. S. 54–62. DOI: https://doi.org/10.18127/j15604128-202103-07. [in Russian]
5. Snytkin I.I., Snytkin T.I. Sposob «tret'ey reshayushchey skhemy» povysheniya effektivnosti poiska i sinkhronizatsii slozhnykh shirokopolosnykh shumopodobnykh signalov. Elektromagnitnye volny i elektronnye sistemy. 2021. № 6. T. 26. S. 44–56. DOI: https://doi.org/10.18127/j15604128-202106-05. [in Russian]
6. Snytkin I.I., Snytkin T.I. Tekhnicheskoe reshenie «tret'ey reshayushchey skhemy» povysheniya effektivnosti poiska i sinkhronizatsii slozhnykh shirokopolosnykh shumopodobnykh signalov. Nelineynyy mir. 2022. № 7. S. 13–23. DOI: https://doi.org/10.18127/ j20700970-202207-06. [in Russian]
7. Snytkin I.I., Snytkin T.I., Zakharenko D.G. Modeling and establishing the properties of determinism of partial auto-correlation functions of double derivatives of recurrent sequences of «non-nested» type in the interests of implementing the third decision scheme. Achievements of modern radioelectronics. 2023. V. 77. № 5. P. 35–47. DOI: https://doi.org/10.18127/j20700784-202305-03. [in Russian]
8. Sverdlik M.B. Optimal'nye diskretnye signaly. M.: Sov. radio. 1975. [in Russian]