I.I. Snytkin1, T.I. Snytkin2, A.A. Kabanova3

1 Krasnodar Higher Military Aviation School of Pilots (Krasnodar, Russia)

2,3 FSI «27 CSRI» (Moscow, Russia)

Problem statement. The practical and theoretical results obtained in the framework of research on the justification and development of the theory of the «third decision scheme» [1-9] established the unique properties of the determinism of auto- and cross-correlation functions for double derived 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 results obtained at the first and second levels of the OSI-model to solve 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.

Goal. Consider general provisions regarding the establishment of the properties of determinism of particular autocorrelation functions, their classification and practical application

Results. The results of the development of the foundations for modeling the properties and characteristics of the determinism of particular autocorrelation functions (PACF) of double derived nonlinear recurrent sequences (DDNRS) of various types, groups and types are presented, the established basic parameters of the determinism of the PACF are analyzed, and directions for using the properties and characteristics of the PACF to improve the efficiency of search processes are considered, capture, synchronization of broadband signals in the form of phase-shift keyed or discrete (binary) DDNRS within the framework of the theory of the «third decision scheme».

Practical relevance. 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.

Snytkin I.I., Snytkin T.I., Kabanova A.A. General basis for modeling the properties of determinity of particular autocorrelation functions of double derivatives of nonlinear recurrent sequences in the interests of the «third decision scheme» implementation. Nonlinear World. 2022. V. 20. № 3. P. 51-60. DOI: https://doi.org/10.18127/j20700970-202203-06 (In Russian)

1. Snytkin I.I., Snytkin T.I. Teoreticheskie osnovy sinteza i issledovanija sistem proizvodnyh nelinejnyh rekurrentnyh posledovatel'nostej. Nelinejnyj mir. 2014. T. 12. № 6. S. 17-25 (In Russian).
2. Snytkin I.I., Snytkin T.I. Issledovanie i ocenka svojstv i harakteristik periodicheskih funkcij avtokor-reljacii dvukratnyh PNLRP. Nelinejnyj mir. 2014. T. 12. № 8. S. 28-34 (In Russian).
3. Snytkin I.I., Snytkin T.I. Vzaimokorreljacionnye funkcii i svojstva proizvodnyh nelinejnyh rekurrent-nyh posledovatel'nostej. Nelinejnyj mir. 2014. T. 12. № 11. S. 44-49 (In Russian).
4. Snytkin I.I., Snytkin T.I. Razrabotka jelementov teorii tret'ej reshajushhej shemy priema proizvodnyh ne-linejnyh rekurrentnyh posledovatel'nostej. Nelinejnyj mir. 2015. T. 13. № 5. S. 78-84 (In Russian).
5. Snytkin T.I. Analogovye rezhimy prinjatija reshenija o prieme v teorii tret'ej reshajushhej shemy. Nelinej-nyj mir. 2018. T. 16. № 6. S. 27-30 (In Russian).
6. Snytkin I.I., Snytkin T.I. Algoritm realizacii «tret'ej reshajushhej shemy» povyshenija jeffektivnosti po-iska i sinhronizacii slozhnyh shirokopolosnyh signalov. Jelektromagnitnye volny i jelektronnye sistemy. 2021. T. 26. № 3. S. 54-64 (In Russian).
7. Snytkin I.I., Snytkin T.I. Sposob «tret'ej reshajushhej shemy» povyshenija jeffektivnosti poiska i sinhro-nizacii slozhnyh shirokopolosnyh signalov. Jelektromagnitnye volny i jelektronnye sistemy. 2021. T. 26. № 3. S. 44-57 (In Russian).
8. Snytkin I.I., Snytkin T.I. Tehnicheskoe reshenie «tret'ej reshajushhej shemy» povyshenija jeffektivnosti poiska i sinhronizacii slozhnyh shirokopolosnyh shumopodobnyh signalov. Uspehi sovremennoj radiojelek-troniki, 2022. T. 76. № 7. S. 13-23 (In Russian).
9. Patent RU № 2514133 ot 25.02. 2014 g. Sposob uskorennogo poiska shirokopolosnyh signalov i ustrojstvo dlja ego realizacii. Snytkin T.I., Snytkin I.I., Spirin A.V. (In Russian).