A.R. Ilchuk1, Yu.D. Kargashin2, V.I. Merkulov3, V.S. Chernov4

1,2 JSC «RPC «Istok» named after Shokin" (Fryazino, Moscow region, Russia)

3,4 JSC «Corporation «Vega» (Moscow, Russia)

Formulation of the problem. When solving a number of practical tasks, it is necessary to monitor the operation of radio emission sources (RRS) within a certain geographic region, in the process of which the coordinates of the location and parameters of the movement of RRS are estimated using airborne passive goniometric two-position systems (UDPS). Information about the methods of solving the problem of estimating the coordinates of the IRI in the UDPS is published in various scientific and technical publications. Part 1 of article [1] considers the features of the organization of trajectory tracking of IRI in the UDPS and variants of estimation algorithms in Cartesian coordinate systems based on the use of a linear Kalman filter, as well as an adaptive α,β-filter.

However, in practice, quite often there is a need for tracking in a mixed coordinate system using combined measurements or directly measured values of the AIR azimuths as input data.

The peculiarity of observation in the UDPS is that goniometric data on a radio-emitting object can be obtained in spaced-apart receiving positions (SP) at the same moment or at different times. In addition, in UDPS, as a rule, there is a delay in the transmission of measurement results during the exchange of radio data between APs, since each aircraft is given a certain time interval for transmitting messages. Therefore, the processing of the measurement results in the UDPS should be carried out taking into account their time delay.

For these situations, the corresponding algorithms for estimating the coordinates of the IRI have been developed, information about which is given in this article. Familiarization with them will allow you to get a fairly general idea of the estimation algorithms that provide support for IRI in a mixed coordinate system for different variants of input data.

Purpose. Systematization and analysis of the developed methods and algorithms for estimating the coordinates and parameters of the movement of radiation sources in aviation goniometric two-position radio monitoring systems of the surrounding space

Results. Part 2 of this article provides generalized information on the developed methods and algorithms for estimating the coordinates of IRI in airborne UDPS, based on the principles of nonlinear filtering.

Practical significance. The possibilities of various methods and algorithms for estimating the coordinates of IRI are shown, information about which can be used when choosing rational options for solving radio monitoring problems for specific conditions of practical application, as well as when developing new methods and algorithms for estimating in goniometric two-position systems.

Ilchuk A.R., Kargashin Yu.D., Merkulov V.I., Chernov V.S. Methods for estimating coordinates and motion parameters sources of radio emission in goniometric two-position systems airborne radio monitoring. Part 2. Algorithms for nonlinear estimation. Achievements of modern radioelectronics. 2021. V. 75. № 12. P. 5–21. DOI: https://doi.org/10.18127/j20700784-202112-01 (in Russian)

1. Il'chuk A.R., Karnashin Ju.D., Merkulov V.I., Chernov V.S. Sposoby ocenivanija koordinat i parametrov dvizhenija istochnikov radioizlluchenija v ulomernyh dvuhpozicionnyh sistemah radiomonitoringa vozdushnogo bazirovanija. Chast' 1. Osobennosti traektornogo  soprovozhdenija. Algoritmy linejnogo ocenivanija. Uspehi sovremennoj radiojelektroniki. 2021. T. 75. № 9. S. 5-23 (In Russian).
2. Belik B.V., Belov S.G., Verba V.S. i dr. Aviacionnye sistemy radioupravlenija. Pod red. V.S. Verby, V.I. Merkulova. M.: Radiotehnika. 2014. 376 s. (In Russian).
3. Verba V.S., Merkulov V.I., Drogalin V.V. i dr. Ocenivanie dal'nosti i skorosti v radiolokacionnyh sistemah. Ch. 3. Pod red. V.S. Verby i V.I. Merkulova. M.: Radiotehnika. 2010. 472 s. (In Russian).
4. Drogalin V.V., Efimov V.A., Kanashhenkov A.I. i dr. Algoritmy ocenivanija koordinat i parametrov dvizhenija radioizluchajushhih celej v uglomernyh dvuhpozicionnyh bortovyh radiolokacionnyh sistemah. Informacionno-izmeritel'nye i upravljajushhie sistemy. 2003. T. 1. № 1. S. 4-23 (In Russian).
5. Kuz'min S.Z. Cifrovaja radiolokacija. Vvedenie v teoriju. Kiev: KVIC. 2000. 428 s. (In Russian).
6. Merkulov V.I., Chernov V.S., Gandurin V.A., Drogalin V.V., Savel'ev A.N. Aviacionnye sistemy radioupravlenija: uchebnik dlja voennyh i grazhdanskih VUZov i nauchno-issledovatel'skih organizacij. Pod red. V.I. Merkulova. M.: Izd. VVIA im. prof. N.E. Zhukovskogo. 2008. 423 s. (In Russian).
7. Merkulov V.I., Chernov V.S., Radominov O.E. Algoritm obrabotki neodnovremenno postupajushhih dannyh v passivnyh uglomernyh mnogopozicionnyh sistemah na osnove rasshirennogo fil'tra Kalmana. Radiotehnika. 2011. № 6. S. 108-112 (In Russian).
8. Belik B.V., Belov S.G. Mnogocelevoe soprovozhdenie istochnikov radioizluchenija v odnopozicionnoj sisteme radiomoni¬toringa vozdushnogo bazirovanija. Zhurnal radiojelektroniki [jelektronnyj zhurnal]. 2017. № 5. Rezhim dostupa: http://jre.cplire.ru/jre/may17/3/text.pdf. (In Russian).
9. Drogalin V.V., Merkulov V.I.,Samarin O.F. i dr. Ocenivanie parametrov linejnoj traektorii dvizhenija celi v uglomernoj dvuhpozicionnoj sisteme na osnove algoritma fil'tracii. Informacionno-izmeritel'nye i upravljajushhie sistemy. 2003. T. 1. № 2-3. S. 14-19 (In Russian).
10. Patent na izobretenie № 2263927 (RF). Sposob ocenivanija parametrov traektorii istochnikov radioizluchenija v uglomernoj dvuhpozicionnoj passivnoj radiolokacionnoj sisteme. Drogalin V.V., Merkulov V.I., Chernov V.S. i dr. Zaregistrir. 10.11.2005 (In Russian).
11. Merkulov V.I., Popov E.V., Chernov V.S. Sposoby i algoritmy postroenija traektorij radioizluchajushhih celej v aviacionnyh mnogopozicionnyh passivnyh uglomernyh sistemah. Uspehi sovremennoj radiojelektroniki. 2013. № 11. S. 60-68 (In Russian).
12. Merkulov V.I., Zabelin I.V. Sintez algoritma fil'tracii v dvuhpozicionnoj passivnoj sisteme navedenija. Uspehi sovremennoj radiojelektroniki. 2014. № 1. S. 30-37 (In Russian).
13. Grebennikov V.B., Merkulov V.I., Teterukov A.G. Algoritm mnogocelevogo soprovozhdenija ob#ektov v passivnoj mnogopozicionnoj radiolokacionnoj sisteme. Radiotehnika. 2011. № 2. S. 21-32 (In Russian).
14. Grebennikov V.B., Merkulov V.I., Teterukov A.G. Dvuhjetapnoe ocenivanie koordinat i skorosti celi v mnogopozicionnoj radiolokacionnoj sisteme s proizvol'nym chislom pozicij. Uspehi sovremennoj radiojelektroniki. 2010. № 8. S. 14-19 (In Russian).
15. Verba V.S., Merkulov V.I., Chernov V.S. Sposoby ocenivanija koordinat i parametrov dvizhenija radioizluchajushhih ob#ektov v dvuhpozicionnyh uglomernyh sistemah radiomonitoringa vozdushnogo bazirovanija na osnove sovremennyh algoritmov nelinejnoj fil'tracii. Chast' 2. Algoritmy traektornogo soprovozhdenija istochnikov radioizluchenij na osnove sovremennyh metodov nelinejnoj fil'tracii. Uspehi sovremennoj radiojelektroniki. 2019. № 3. S. 15-27 (In Russian).
16. Bulychev V.Ju., Bulychev Ju.G., Ivakina S.S. i dr. Obosnovanie metodov optimal'nogo ocenivanija parametrov dvizhenija celi v trianguljacionnoj izmeritel'noj sisteme. Teorija i sistemy upravlenija. 2015. № 4. S. 94-110 (In Russian).