E.Yu. Butyrsky1, M.A. Belyansky2, U. P. Zaranik3

1 VMPI VUNC of the Navy of the N.G. Kuznetsov Naval Academy (Saint-Petersburg, Russia)

2 JSC “OCEANPRIBOR” (Saint-Petersburg, Russia)

3 Saint-Petersburg State University (Saint-Petersburg, Russia)

1 evgenira88@mail.ru; 2 maxim_belyansky@mail.ru; 3 u.zaranik@spbu.ru

The article analyzes the methods of suboptimal filtering and suggests an approach based on the construction of a stepwise filter structure that reduces computational costs during its implementation. A generalization is carried out to the problems of detecting radio signals. The Kalman-Busey filter structure is proposed, which contains only one on-line channel, rather than two, which reduces the computational load by almost two times.

Butyrsky E.Yu., Belyansky M.A., Zaranik U.P. Suboptimal filtration methods // Radiotekhnika. 2026. V. 90. № 8. P. 82−92. DOI: https://doi.org/10.18127/j00338486-202608-08

1. Liou Y.A. Radio occultation method for remote sensing of the atmosphereand ionosphere. Croatia: InTech. 2010. 170 p.
2. Melbourne W.G. Radio occultations using earth satellites: a wave theory treatment. Wiley-Interscience. 2004. 647 p.
3. Pavel'ev A.G., Matyugov S.S., Yakovlev O.I. Sputnikovyj global'nyj monitoring atmosfery i ionosfery. Radiotekhnika i elektronika. 2008. T. 53. № 9. S. 1081–1093 (in Russian).
4. Avdyushin S.I., Danilova A.D. Ionosferno-magnitnaya sluzhba. L.: Gidrometeoizdat. 1987. 249 s. (in Russian).
5. Danilkin N.P. Sistemnoe radiozondirovanie - osnova postroeniya sluzhby kontrolya sostoyaniya ionosfery. Trudy Instituta prikladnoj geofiziki im. akad. E.K. Fedorova. 2008. Vyp. 87. 209 s. (in Russian).
6. Kravcov Yu.A., Tinin M.V., Knizhin S.I. Difrakcionnaya tomografiya neodnorodnoj sredy pri sil'nyh variaciyah fazy. Radiotekhnika i elektronika. 2011. T. 56. № 7. S. 816–822.
7. Kravtsov Y.A., Tinin M.V. Representation of wave field in a randomly inhomogeneous medium in the form of the double – weighted Fourier transform. Radio Science. 2000. V. 35. № 6. P. 1315–1322.
8. Kravtsov Y.A., Tinin M.V. Ray based diffraction tomography of the ionosphere and laboratory inhomogeneous plasma. Cosmic Research. 2003. V. 41. № 4. P. 357–358.
9. Kravtsov Y.A., Tinin M.V., Kulizhsky A.V. Method for super Fresnel resolution in electromagnetic diagnostics of inhomogeneous plasma. Fusion Engineering and Design. 2009. V. 84. P. 1113–1115.
10. Tinin M.V., Kravtsov Y.A. Super-Fresnel resolution of plasma in homogeneities by electromagnetic sounding. Plasma Phys. Control. Fusion. 2008. V. 50. P. 1–12.
11. Krasovskij A.A. i dr. Spravochnik po teorii avtomaticheskogo upravleniya. M.: Nauka. 1987. 711 s. (in Russian).
12. Rojtenberg Ya.N. Avtomaticheskoe upravlenie. M.: Nauka. 1978. 551 s. (in Russian).
13. Tihonov V.I., Harisov V.N. Statisticheskij analiz i sintez radiotekhnicheskih ustrojstv i sistem. M.: Radio i svyaz'. 1991. 608 s. (in Russian).
14. Butyrskij E.Yu., Matveev A.V. Matematicheskoe modelirovanie sistem i processov. SPb: Strategiya budushchego. 2022. 733 s. (in Russian).
15. Butyrskij E.Yu. Modifikaciya metoda opornyh traektorij. Sb. materialov NTK «Voennaya radioelektronika». SPb; Petrodvorec: VMIRE im. A.S. Popova. 2004 (in Russian).
16. Sosulin Yu.G. Teoriya obnaruzheniya i ocenivaniya stohasticheskih signalov. M.: Sovetskoe radio. 1978. 320 s. (in Russian).
17. Belyanskij M.A., Butyrskij E.Yu., Vasil'ev V.V. NVIS-radiosvyaz' s podvizhnymi ob"ektami s uchetom neodnorodnoj struktury ionosfernoj plazmy. Radiotekhnika. 2026. T. 90. № 1. S. 132−140. DOI: https://doi.org/10.18127/j00338486-202601-13 (in Russian).
18. Belyanskij M.A., Butyrskij E.Yu., Vasil'ev V.V. Rasprostranenie volnovogo paketa v ionosfernoj plazme kak preobrazovaniya, induciruemogo izmeneniem vremennogo nositelya signala. Radiotekhnika. 2025. T. 89. № 11. S. 89−98. DOI: https://doi.org/10.18127/j00338486-202511-09 (in Russian).