Dynamic model of coordinateometry of nearby signal sources using the super-resolution algorithm MUSIC

In recent years, the problem of radar and radio direction finding has become very relevant due to the rapid development of microelectronics for small-sized unmanned aerial vehicles and communication terminals. The article is devoted to determining the coordinates of signal sources. In particular, closely spaced, uncorrelated emitters and receiving antenna arrays on several mobile devices spaced apart in space are investigated. To resolve such signal sources, the MUSIC super-resolution algorithm is used, followed by solving the coordinate measurement problem using the least squares method. A software model was created in the MATLAB environment, implementing a dynamic system in which each radio device has its own trajectories and speed indicators. A comparative analysis of the accuracy of the results obtained in various situations from the point of view of geometry and dynamics was carried out. It was found that the algorithm works most effectively in the case of targets located inside the zone formed by the scanning objects. In this case, the accuracy of determining coordinates is comparable to the distance between the signal sources. Based on the obtained results, it is possible to construct radar receivers for direction finding of nearby signal sources in the main lobe of the directional pattern of the receiving antenna of a location station, which is required when solving a number of location and monitoring problems in a complex electronic environment.

1. Antropov D.A. New antenna-feeder devices of means radio relay communication based on the historical experience of their creation. News of the Tula State University. Technical sciences. 2022;(9):139–143. (In Russ.).

2. Bobylkin I.S., Ivanov A.V., Kuzemkin A.A., Yampol'skii D.A. Sravnitel'nyi analiz ustroistv dlya radiopelengatsii i passivnoi radiolokatsii, dostupnykh dlya grazhdanskogo primeneniya. In: Aktual'nye problemy deyatel'nosti podrazdelenii ugolovno-ispolnitel'noi sistemy: Sbornik materialov Vserossiiskoi nauchno-prakticheskoi konferentsii: Volume 1, 19 October 2023, Voronezh, Russia. Voronezh: Publishing and Printing Center "Nauchnaya Kniga"; 2023. pp. 246–252. (In Russ.).

3. Glushankov E.I., Gorobtsov I.A., Syrovetnik D.S.; applicant Federal State Budget-Financed Educational Institution of Higher Education The Bonch-Bruevich Saint Petersburg State University of Telecommunications. Programma dlya modelirovaniya zadachi sverkhrazresheniya i koordinatometrii neskol'kikh istochnikov radiosignalov v srede MATLAB: No. 2024663312: zayavl. 11.06.2024: opubl. 24.06.2024. Certificate of State Registration of Computer Programme for Computing Machines No. 2024664687 Russian Federation. (In Russ.).

4. Ryzhkov A. Circular antenna array UAV. In: Podgotovka professional'nykh kadrov v magistrature dlya tsifrovoi ekonomiki (PKM-2020): Regional'naya nauchno-metodicheskaya konferentsiya magistrantov i ikh rukovoditelei: Sbornik luchshikh dokladov konferentsii, 01–03 December 2020, Saint Petersburg, Russia. Saint Petersburg: The Bonch-Bruevich Saint Petersburg State University of Telecommunications; 2021. pp. 118–122. (In Russ.).

5. Parinov M.L. Simulation of radio-frequency radiation source directionfinding and coordiante-measuring procedures inthe enviroments of stochastic-nature propagation medium parameter change and random factor impact to produce errors in the course of informational parameter measurements. Vozdushno-kosmicheskie sily. Teoriya i praktika. 2024;(31):145–169. (In Russ.).

6. Glushankov E., Syrovetnik D. Determination of coordinates of signal sources using super-resolution algorithms. In: Podgotovka professional'nykh kadrov v magistrature dlya tsifrovoi ekonomiki (PKM-2023): Vserossiiskaya nauchno-tekhnicheskaya i nauchno-metodicheskaya konferentsiya magistrantov i ikh rukovoditelei: Sbornik luchshikh dokladov: Volume 1, 05–07 December 2023, Saint Petersburg, Russia. Saint Petersburg: The Bonch-Bruevich Saint Petersburg State University of Telecommunications; 2023. pp. 94–99. (In Russ.).

7. Davydenko A.S., Popov E.N., Tsikin I.A. Radiopelengatsiya po metodu music v sochetanii s metodom etalonnykh raznostei faz. In: Nedelya nauki IFNiT: Sbornik materialov Vserossiiskoi konferentsii, 16–20 November 2020, Saint Petersburg, Russia. Saint Petersburg: Politekh-Press; 2020. pp. 12–14. (In Russ.).

8. Lustgarten M.Yu., Sobchenko M.I., Shvetsova A.P., Ukhandeev V.I. Algorithm of radio source positioning. Electronic Information Systems. 2019;(3):22–28. (In Russ.).

9. Telegin V.A., Shashero V.A., Antonov E.A., Chikshov L.I., Kurilov A.A. Opredelenie koordinat mestopolozheniya ob"ekta: No. 2020667131: zayavl. 21.12.2020: opubl. 25.01.2021. Certificate of State Registration of Computer Programme for Computing Machines No. 2021611300 Russian Federation. (In Russ.).

10. Glushankov E., Syrovetnik D. Coordinatometry of nearby signal sources using the super- resolution algorithm MUSIC. In: Aktual'nye problemy infotelekommunikatsii v nauke i obrazovanii (APINO 2024): Materialy XIII Mezhdunarodnoi nauchno-tekhnicheskoi i nauchno-metodicheskoi konferentsii: Volume 3, 27–28 February 2024, Saint Petersburg, Russia. Saint Petersburg: The Bonch-Bruevich Saint Petersburg State University of Telecommunications; 2024. pp. 165–169. (In Russ.).