V.N. Tyapkin1, P.V. Luferchik2, I.V. Tyapkin3, V.N. Ratushnyak4, P.V. Shtro5

1,3,4 Siberian Federal University (Krasnoyarsk, Russia)

2,5 JSC “Scientific and Production Enterprise “Radiosvyaz” (Krasnoyarsk, Russia)

1 tyapkin58@mail.ru; 2,5 dsp@krtz.su; 3 aronakss@yandex.ru; oborona-81@ya.ru4

Modern satellite navigation systems (GLONASS, GPS, Galileo, BeiDou) and radar systems are susceptible to interference (natural and intentional), which degrades positioning accuracy and can lead to complete signal loss. To combat interference, spatiotemporal signal processing methods are used, combining adaptive filtering in both the spatial and temporal domains. This approach allows for the formation of nulls in the radiation pattern not only in the direction of interference sources but also in the direction of arrival of reflected signals, reducing their impact on delay and phase estimates. FIR filters in time help suppress reflected copies over time. However, published sources have not adequately addressed the issues of increasing computational efficiency and improving the accuracy of navigation parameter measurements.

Tyapkin V.N., Luferchik P.V., Tyapkin I.V., Ratushnyak V.N., Shtro P.V. Improving the computational efficiency of spatiotemporal processing algorithms in navigation and radar receivers with adaptive antenna arrays. Radiotekhnika. 2025. V. 89. № 12. P. 16−24. DOI: https://doi.org/10.18127/j00338486-202512-02 (In Russian)

1. Shtro P.V., Tjapkin V.N., Luferchik P.V., Kriger E.A., Shershunovich A.Ju., Tjapkin I.V. Ocenka tochnostnyh harakteri-stik navigacionnyh prijomnikov s kompensatorom pomeh v slozhnoj pomehovoj obstanovke. Radiotehnika. 2025. T. 89. № 2. 65−72. DOI: https://doi.org/10.18127/j00338486-202502-09 (in Russian).
2. Tyapkin V.N., Dmitriev D.D., Shtro P.V., et al. Model of receiving channels of an adaptive antenna array to assess the impact of differences in their characteristics on the efficiency of interference suppression. Journal of Siberian Federal Universit. Mathematics and Physics. 2025. V. 18. № 1. P. 81-90 (in Russian).
3. Tjapkin V.N. Algoritm adaptivnoj prostranstvennoj fil'tracii s sohraneniem postojannogo urovnja DN v napravlenii poleznogo signala. Naukoemkie tehnologii. 2016. T. 17. № 8. S. 39–40 (in Russian).
4. Tjapkin V.N., Ratushnjak V.N., Dmitriev D.D., Gladyshev A.B. Povyshenie jeffektivnosti podavlenija pomeh za schet kor-rekcii chastotnyh harakteristik priemnyh kanalov v navigacionnoj apparature potrebitelej. Kosmicheskie appara-ty i tehnologii. 2018. T. 2. № 1(23). S. 30-37 (in Russian).
5. GLONASS. Principy postroenija i funkcionirovanija. Pod red. A.I. Perova, V.N. Harisova. Izd. 4-e pererab. i dop. M.:  Radiotehnika. 2010. 800 s. (in Russian).
6. Perov A.I. Metody i algoritmy optimal'nogo priema signalov v apparature potrebitelej sputnikovyh radionaviga-cionnyh sistem. M.: Radiotehnika. 2012. 244 s. (in Russian).
7. Perov A.I. Statisticheskaja teorija radiotehnicheskih sistem. Ucheb. posobie. Izd. 2-e, pererab. i dop. M.: Radiotehni-ka. 2022. 840 s. (in Russian).
8. Dzhigan V.I. Adaptivnaja fil'tracija signalov: teorija i algoritmy. M.: Tehnosfera. 2013. 527 s. (in Russian).
9. Voevodin V.V., Kuznecov Ju.A. Matricy i vychislenija. M.: Nauka. 1984. 320 s. (in Russian).