Mathematical Model for a Radar Signal Reflected from Drone Propellers as Applied to the Method of Inverse Synthetic Aperture Radar in Bistatic Radar
https://doi.org/10.32603/1993-8985-2023-26-6-41-53
Abstract
Introduction. The distinction of targets located in the same spatial resolution cell of a radar system includes the determination of the number of targets and their recognition. Recognition and distinction are directly related to the analysis of radar profiles (spectral, range, azimuth, etc.). Radar images of rotating drone elements obtained with the method of inverse synthetic aperture radar (ISAR) present particular interest. Such profiles are highly informative in terms of defining the drone design characteristics. When developing algorithms for constructing radar profiles of drone propellers based on ISAR, it is necessary to have a clear understanding of the movements of various points on the propeller blade surfaces. This understanding can be achieved by constructing a mathematical model for a signal reflected from drone propellers.
Aim. To develop a mathematical model for a signal reflected from drone propellers in application to the method of ISAR in bistatic radar.
Materials and methods. In the model under consideration, the propeller blade is represented by a set of point reflectors located along two lines passing through the front and rear edges of the blade. When developing the reflected signal model, variation in the phase structure of the reflected signal arising due to the translational motion of the drone and the rotation of its propeller blades, as well as their offset in space.
Results. A mathematical model for a signal reflected from drone propellers in application to the method of ISAR in bistatic radar was developed. Signals reflected from one propeller blade, from one propeller, and from a set of drone propellers were simulated. The temporal and spectral structures of the reflected signals for two variants of blade representation were analyzed.
Conclusion. The developed mathematical model can be used when developing an algorithm for constructing images of drone propellers by the method of inverse synthetic aperture radar in a bistatic radar system.
About the Authors
E. C. PlotnitskayaRussian Federation
Ekaterina S. Plotnitskaya – Master in Radio Engineering (2023, Saint Petersburg Electrotechnical University). Research student of Saint Petersburg Electrotechnical University, engineer of the Research Institute "Prognoz". The author of 8 scientific publications. Area of expertise: radar recognition.
5F, Professora Popova St., Saint Petersburg 197022
S. R. Heister
Belarus
Sergey R. Heister, Dr Sci. (Eng.) (2004), Professor (2006), Leading Researcher at the JSC "ALEVKURP". The author of more than 150 scientific publications. Area of expertise: construction of radio engineering systems for various purposes; radar recognition; adaptive signal processing; radioelectronic protective measures.
1a, Moscow St., Korolev Stan 223050
V. I. Veremyev
Russian Federation
Vladimir I. Veremyev – Cand. Sci. (2000), Professor of the Department of Radio Engineering Systems in Saint Petersburg Electrotechnical University, Director of the Research Institute "Prognoz". The author of more than 130 scientific publications. Area of expertise: integrated environmental monitoring; complex issues of building radar systems; multi-band multi-position radar systems for airspace and sea surface monitoring.
5F, Professora Popova St., Saint Petersburg 197022
References
1. Morozova T. Y., Ivanova I. A., Nikonov V. V., Grishin A. A. Improvıng of Thedrones Group Control System. Intern. J. of Advanced Studies. 2015, vol. 5, no. 1, pp. 14–18. doi: 10.12731/2227-930X-2015-1-4
2. D'yachenko A. A. Sposob formirovaniya stroya v gruppe BPLA [The Task of Forming a Formation in a Group of UAVs]. Izvestia SFedU. Engineering sciences. 2012, no. 3, pp. 22–30. (In Russ.)
3. Sabziev E. A Control Algorithm for Joint Flight of a Group Of Drones. Scientific J. of Silesian University of Technology. Series Transport. 2021, vol. 110, pp. 157–167. doi: 10.20858/sjsutst.2021.110.13
4. Chen V. C., Martorella M. Inverse Synthetic Aperture Radar Imaging: Principles, Algorithms, and Applications. Raleigh, USA, SciTech Publishing, 2014, 303 p. doi: 10.1049/SBRA504E
5. Ozdemir C. Inverse Synthetic Aperture Radar Imaging with MATLAB Algorithms. 2nd ed. Hoboken, USA, John Wiley and Sons, 2021, 672 p.
6. Li W., Yuan Y., Zhang Y., Luo, Y. Unblurring ISAR Imaging for Maneuvering Target Based on UFGAN. Remote Sens. 2022, vol. 14, iss. 20, p. 5270. doi: 10.3390/rs14205270
7. Zhu H., Hu W., Guo B., Jiao L., Zhu X., Zhu C. Research on Bi–ISAR Sparse Aperture High Resolution Imaging Algorithm under Low SNR. Electronics. 2022, vol. 11, iss. 18, art. 2856. doi: 10.3390/electronics11182856
8. Rong J. J., Wang Y., Han T. Iterative Optimization-based ISAR Imaging with Sparse Aperture and Its Application in Interferometric ISAR Imaging. IEEE Sens. J. 2019, vol. 19, iss. 19, pp. 8681–8693. doi: 10.1109/JSEN.2019.2923447
9. Bullard B. D., Dowdy P. C. Pulse Doppler Signature of a Rotary-Wing Aircraft. IEEE Aerospace and Electronic Systems Magazine. 1991, vol. 6, iss. 5, pp. 28–30. doi: 10.1109/62.79675
10. Tikkinen J. M., Helander E. E., Visa A. J. E. Joint Utilization of Incoherently and Coherently Integrated Radar Signal in Helicopter Categorization. IEEE Intern. Radar Conf. Arlington, VA, USA. 9–12 May 2005. Piscataway, IEEE, 2005, pp. 540–545. doi: 10.1109/RADAR.2005.1435885
11. Varganov M. E., Zinov'ev Yu. S., Astanin L. Yu., Kostylev A. A. Radiolokatsionnyye kharakteristiki letatel'nykh apparatov [Radar Characteristics of Air-craft]. Moscow, Radio i svyaz', 1985, 234 p. (In Russ.)
12. Plotnitskaya E., Vorobev E., Veremyev V. I. Simulation of Bistatic Signatures from Rotating Blades of Aerial Targets. 2021 IEEE Conf. of Russ. Young Researchers in Electrical and Electronic Engineering (ElConRus). St. Petersburg, Moscow, Russia, 26–29 January 2021. IEEE, 2021, pp. 1663–1667. doi: 10.1109/ElConRus51938.2021.9396233
13. Heister S. R., Nguyen T. T. Mathematical Models of the Radar Signal Reflected from a Helicopter Main Rotor in Application to Inverse Synthesis of Antenna Aperture. J. of the Russian Universities. Radioelectronics. 2019, vol. 22, no. 3, pp. 74–87. doi: 10.32603/1993-8985-2019-22-3-74-87
14. Barton D. K. Radar System Analysis. Englewood Cliffs, NJ: Prentice Hall, 1964.
15. Bakulev P. A. Radiolokatsiya dvizhushchikhsya tseley [Radar Detection of Moving Targets]. Moscow, Sovetskoye radio, 1964, 336 p. (In Russ.).
Review
For citations:
Plotnitskaya E.C., Heister S.R., Veremyev V.I. Mathematical Model for a Radar Signal Reflected from Drone Propellers as Applied to the Method of Inverse Synthetic Aperture Radar in Bistatic Radar. Journal of the Russian Universities. Radioelectronics. 2023;26(6):41-53. (In Russ.) https://doi.org/10.32603/1993-8985-2023-26-6-41-53