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)

The obtained practical and theoretical results in the framework of research on the justification and development of the theory of the «third decision scheme» established the unique properties of the determinism of auto- and cross-correlation functions for two-fold derivatives of nonlinear recurrent sequences that can be used to improve the efficiency of processes for receiving and processing broadband signals. Further studies on the application of the obtained results at the first and second levels of the OSI model for solving the problem of search, capture and synchronization showed that discrete partial auto- and cross-correlation functions at the stage after entering into synchronism have a number of unique properties of determinism. These properties can be successfully used both to increase the stability of synchronization and to accelerate the acquisition of synchronism at both the first and second levels of the OSI model.

Consider general provisions concerning the establishment of the properties of determinism of partial autocorrelation functions of double derivatives of recurrent sequences of «non-nested» type.

The results of modeling the properties of determinism of partial autocorrelation functions (PACF), two-fold derivatives of non-linear recurrent sequences (DNLRS) of the «non-embedded» type in the framework of the implementation of methods of the third decision scheme (TDS) are presented. Regularities of PACF are established, allowing them to be used for organizing, within the framework of TDS, effective procedures for searching, capturing (VI, IX, X)-types of a group of even elements (l1, l2), synchronization and identification of features, species and types of DNLRS «non-nested» type.

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.

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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]
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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]
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8. Patent RF № 2730389 .MPK8N04L7/08, G06F7/10. Sposob tret'ey reshayushchey skhemy uskorennogo poiska i effektivnogo priema shirokopolosnykh signalov. Snytkin I.I., Snytkin T.I., Kokoreva O.S. Opub. 21.08.2020 g. Byul. № 15. [in Russian]
9. Patent RF № 2718753. MPK8N04L7/08, G06F7/10. Ustroystvo tret'ey reshayushchey skhemy uskorennogo poiska i effektivnogo priema shirokopolosnykh signalov. Snytkin I.I., Snytkin T.I., Kokoreva O.S. Opub. 14.04.2020 g. Byul. № 11. [in Russian]