I.S. Ashurkov1, S.A. Zhitkov2, N.A. Leshko3, A.V. Tymoshenko4

1−3 Yaroslavl Higher Military Institute of Air Defense (Yaroslavl, Russia)

4 JSC «Academician A.L. Mints» (Moscow, Russia)

4 National Research University «MIET» (Moscow, Russia)

For effective detection of maneuvering targets in conditions of low values of the signal-to-noise ratio, block methods of trajectory processing based on parametric transformations are used. The use of parametric transformations increases the resistance of the trajectory detection algorithm to an increase in the number of false marks and the omission of true ones in the analyzed sample, but is limited by the choice of a certain type of target movement model.

The purpose of the article is to expand the possibilities for detecting target trajectories using parametric transformations by developing a new technique that solves the problem of detecting trajectories of air targets moving with lateral accelerations or maneuvering simultaneously in two planes.

The paper proposes a method for restoring curvilinear trajectories of air objects (in the form of an ellipse) using the parametric Radon transform. The structure of the methodology is presented in the form of successive stages: formation of a sample of true and false marks for n surveys, parametric conversion of marks, clustering of selected groups, inter-survey identification of marks and making a decision on target detection and its trajectory. A variant of the parametric transformation for the selection of ellipses with various parameters and criteria for choosing the optimal values of the parameters that affect the operation of the technique are proposed.

Estimates of the quality of the method are obtained based on the results of a statistical experiment, confirming the high capabilities of detecting target trajectories.

Ashurkov I.S., Zhitkov S.A., Leshko N.A., Tymoshenko A.V. Method for detecting curvilinear trajectories of air targets using parametric transformations. Radiotekhnika. 2021. V. 85. № 8. P. 136−147. DOI: https://doi.org/10.18127/j00338486-202108-14 (In Russian)

1. Illingworth J., Kittler J. Survey of the Hough Transform. Computer Vision, Graphics and Image Processing. 1988. № 1. Р. 87–116.
2. Ashurkov I.S., Zaharov I.N., Leshko N.A., Zhitkov S.A., Cybul'nik A.N., Model' processa obnaruzhenija krivolinejnoj traektorii ajerodinamicheskoj celi v uslovijah nizkoj jenergeticheskoj dostupnosti radiolokacionnyh signalov kooperiruemogo istochnika podsveta kosmicheskogo bazirovanija. Materialy IV Mezhdunar. voen.-nauch. konf.. Pod obshh. red. A.A. Nerastenko. Tver': VA VKO. 2019. S. 12–23 (In Russian).
3. Zhitkov S.A., Ashurkov I.S., Leshko N.A., Zaharov I.N., Cybul'nik A.N., Metodika obnaruzhenija ajerodinamicheskoj celi, dvizhushhejsja po prjamolinejnoj traektorii v prostranstve. Trudy MAI. Vyp. 109. DOI: 10.34759/trd–2019–109–14 (In Russian).
4. Ashurkov I.S., Zhitkov S.A., Zaharov I.N., Leshko N.A., Cybul'nik A.N., Model' i metodika obnaruzhenija traektorii ajerodinamicheskoj celi, dvizhushhejsja po duge okruzhnosti s neizvestnym radiusom v uslovijah nizkih znachenij otnoshenija signal/shum. Sb. trudov XXXI Vseross. simpoziuma «Radiolokacionnoe issledovanie prirodnyh sred» VKA im. A.F. Mozhajskogo (Sankt-Peterburg) 2019. S. 179–189 (In Russian).
5. Ashurkov I.S., Zhitkov S.A., Zaharov I.N., Leshko N.A., Moroz A.V., Sahno I.V. Imitacionnaja model' processa obnaru-zhenija ajerodinamicheskih celej na osnove parametricheskih preobrazovanij v mnogopozicionnoj lokacionnoj sisteme. Uspehi sovremennoj radiojelektroniki. 2020. T. 74. № 12. S. 32−44 (In Russian).
6. Patent na izobretenie № 2732916 (RF). Kompleksnyj obnaruzhitel' prjamolinejnoj traektorii vozdushnogo ob’ekta v prostranstve s ispol'zovaniem preobrazovanija Hafa. Ashurkov I.S., Zhitkov S.A., Zaharov I.N., Leshko N.A., Cybul'nik A.N. (In Russian).
7. Kuz'min S. Z. Cifrovaja radiolokacija. Vvedenie v teoriju. Kiev: KVIC. 2000 (In Russian).
8. Konovalov A.A. Osnovy traektornoj obrabotki radiolokacionnoj informacii. SPb: Izd-vo SPbGJeTU «LJeTI». 2013. 164 s. (In Russian).
9. Ashurkov I.S., Zaharov I.N., Leshko N.A., Zhitkov S.A., Moroz A.V., Sahno I.V., Rezul'taty jeksperimenta po obnaruzheniju krivolinejnoj traektorii ajerodinamicheskoj celi v mnogopozicionnoj lokacionnoj sisteme v uslovijah nizkih znachenij otnoshenija signal/shum. Uspehi sovremennoj radiojelektroniki. 2020. T. 74. № 4–5. S. 48–60. DOI: 10.18127/j20700784-202004-04 (In Russian).
10. Li X. R, Jilkov V. P. Survey of maneuvering target tracking. Part I: Dynamic models. IEEE Trans. On AES. 2003. № 4. Р. 1333–1364.
11. Kosmicheskie traektornye izmerenija. Radiotehnicheskie metody izmerenij i matematicheskaja obrabotka dannyh. Pod red. P.A. Agadzhanova, V.E. Dulevicha, A.A. Korosteleva. M.: Sovetskoe radio. 1969. 185 s. (In Russian).
12. Monakov A.A. Obnaruzhitel' dvizhushhejsja celi dlja radiolokacionnogo priemnika na osnove algoritma Hafa. Sb. dokladov Mezhdunar. nauchno-tehnich. konf. «Radiolokacija, navigacija, svjaz'». 2014. S. 1584–1594 (In Russian).
13. Gad A., Farooq M. Viterbi-based data association techniques for target tracking. Proceeding of SPIE. 2003. V. 5096. Р. 37–46.
14. Pulford G.W., La Scala B.F. Multihypothesis Viterbi data association tracking: algorithm development and comparative performance assessment. IEEE Trans. On AES. 2010. № 2. Р. 583–609.
15. Moroz A.V., Sahno D.I., Sahno V.I. Polunaturnoe modelirovanie mnogopozicionnyh radiolokacionnyh stancij obzora zemnoj poverhnosti s ispol'zovaniem ul'trazvukovogo lokacionnogo stenda. Trudy XXIX Vseross. simpoziuma «Radiolokacionnoe issledovanie prirodnyh sred». Pod obshh. red. M.M. Pen'kova. VKA im. A.F. Mozhajskogo. 2015. Vyp. 11. T. 1. S. 207–217 (In Russian).
16. Kiselev V. Ju. Ocenka kachestva traektornoj obrabotki v radiolokacionnyh sistemah upravlenija vozdushnym dvizheniem: Avtoref. diss. … kand. tehn. nauk: 05.12.14. M. 2017. 198 s. (In Russian).
17. Sunnen A., Escritt P., Philipp W. Eurocontrol Standard Document for Radar Surveillance in En-Route Airspace and Major Terminal Areas. Brussels: Eurocontrol Agency. 1997. 103 p.
18. Zeebroek Y., Voet E. Surveillance Analysis Support System for ATC-Centre V-7 User Manual. Brussels: Eurocontrol Agency. 2011. 632 p.