graduate student from 01.01.2024 to 01.01.2026
Russian Federation
UDC 621.396
A decrease in the effective reflection surface of modern aircraft, especially small-sized ones, is one of the technical features of modern design solutions and can lead to a significant decrease in the quality of air traffic control, and, consequently, to a decrease in flight safety. Solving the problem of detecting and locating small targets is significantly complicated by the interference situation in the area of a modern airfield. The article presents an analysis of the most well-known existing approaches to the formation of a nonlinear frequency law for broadband frequency-modulated probing radio signals, which, while maintaining the principle of phase stationarity, minimize the level of side lobes of the matched filter response in the primary processing system on the receiving side. Such signals have improved correlation properties and provide an effective solution to the problems of detecting, resolving, and evaluating target motion parameters in ground-based radar systems and air traffic control systems. In the final part of the article, the requirements for new synthesized signals with nonlinear partial modulation are formed in the interests of achieving the required qualitative and quantitative characteristics, such as: the level of the side lobes of the uncertainty function, the width of its main lobe and the level of distortion of the signal spectrum with a Doppler shift of the target.
air traffic control, primary processing, signal with nonlinear frequency modulation, signal-to-noise ratio, side lobes, uncertainty function
1. Varlamov A.S., Bayramgalin D.R., Koksharov D.A. Prospects for improving automated systems that control flights, navigation, landing and communications in state aviation // Young Scientist. No. 48 (495), 2023, pp. 32-35.
2. Burenok V.M. Formation of new views on the use of unmanned aerial vehicles based on the analysis of the experience of a special military operation. // Armament and economics. No. 1(67), 2024, pp. 5-8.
3. Andrianov S.V., Kopnov A.V., Martsinkevich V.Yu., Fadin I.V. The use of unmanned aerial vehicles in military training // Dynamics of the development of the military education system: proceedings of the VII International Scientific and Practical Conference. Omsk, 2025. – pp. 804-808.
4. Verba V.S., Gavrilov K.Yu., Ilchuk A.R., Tatarsky B.G., Filatov A.A. Radar for everyone / Ed. V.S. Verby, Moscow: Technosphere, 2024, 560 p.
5. Cook C.E, A class of nonlinear FM pulse compression signals. // Proceedings of the IEEE. Vol. 52(11), 1964. – P. 1369 – 1371.
6. – P. 1369 – 1371.
7. Chembarisova R.I., Nenashev V.A., Bestugin A.R., Kirshina I.A., Nenashev S.A. Search for complex m-sequences for phase modulation of signal-code structures in on-board control systems // T-Comm: Telecommunications and Transport. Volume 19. No. 5, 2025. – pp. 27-37.
8. Swiercz E., Janczak D., Konopko K. Detection of LFM Radar Signals and Chirp Rate Estimation Based on Time-Frequency Rate Distribution // Sensors. 21(16): 5415, 2021.
9. Vakhtin V.E., Lebedev E.S., Bobrov D.A. Signal modulation and its types, comparison // Young Scientist. No. 33 (480). 2023. – pp. 66-68.
10. Mezhetov M.A., Vasin A.D. Features of the use of broadband signals in communication and navigation systems // Current problems and prospects for the development of civil aviation: proceedings of the XIII International Scientific and Practical Conference, Irkutsk, October 10-11, 2024 Irkutsk: Moscow State Technical University of Civil Aviation, 2024, pp. 169-176.
11. Ipanov R.N., Komarov A.A. Application of FCM probing signals with zero autocorrelation zone to improve the quality of measurements in X-ray diffraction // Journal of Radio Electronics. № 1, 2024.
12. Shevtsov A.V. Uncertainty function for a packet of FM signals. // Journal of Radio Electronics. No. 7, 2025.
13. Pischin O.N., Kabdelova M.M. Investigation of the capabilities of modern radar stations // Young Scientist. No. 1 (396), 2022, pp. 16-21.L. R. Varshney and D. Thomas, Sidelobe Reduction for Matched Filter Range Processing // Proceedings of the IEEE Radar Conference, Huntsville, Alabama, 2003. – P. 5-8.
14. L. R. Varshney and D. Thomas, Sidelobe Reduction for Matched Filter Range Processing // Proceedings of the IEEE Radar Conference, Huntsville, Alabama, 2003. – P. 5-8.
15. Davidovici Denisa, Varciu Daniel, Ham Atila-Gabriel, Nafornita Corina. A study on the influence of window functions in the spectrum of the radar signal // Acta Technica Napocensis. Electronics and Telecommunications. 65(2), 2025.
16. S. R. DeGraaf, Sidelobe Reduction via Adaptive FIR Filtering in SAR Imagery // IEEE transactions on image processing, Vol. 3, No. 3, 1994.
17. Hasanov A., Iskenderov I., Aliev T. Analysis and modeling of adaptive filters to increase the noise immunity of secondary radar signals // Bulletin of the Academy of Civil Aviation. 3(38), 2025, pp. 6-19.
18. M.H. Ackroyd, F. Ghani, Optimum mismatched filters for sidelobe suppression // IEEE Transactions on Aerospace and Electronic Systems, AES-9, 1973. – P. 214-218.
19. Ghavamirad Roohollah, Ramezan Ali Sadeghzadeh and Mohammad Ali Sebt, Sidelobe Level Reduction in the ACF of NLFM Signals Using the Smoothing Spline Method // IEEE Access. 13(1), 2025. – P. 115.
20. Kostyria O. O., Hryzo A. A., Dodukh O. M., Lisohorskyi B. A., Lukianchykov A. A. Method of minimization sidelobes level autocorrelation functions of signals with non-linear frequency modulation // Radio Electronics, Computer Science, Control. № 4, 2023. – P. 3948.
21. Bassem R. Mahafza. Radar Systems Analysis and Design Using MATLAB. Fourth Edition: Chapman and Hall // CRC, 2022. – 666 p.
22. R. Price, Chebyshev low pulse compression sidelobes via a nonlinear FM // Proc. of URSI National Radio Science Meeting (Seattle, 1979).
23. T. Collins, P. Atkins, Nonlinear frequency modulation chirps for active sonar // IEE Proc. Radar Sonar Navig. 146, 1999. – P. 312–316.
24. Y. Wenzhen, Z. Yan, A novel nonlinear frequency modulation waveform design aimed at side-lobe reduction // Proceedings of IEEE International Conference on Signal Processing, Communications and Computing (ICSPCC). 2014. – P. 613–618.
25. F. J. Harris, On the use of windows for harmonic analysis with the discrete fourier transform // Proc. IEEE. 66(1), 1978. – P. 51–83.
26. C. Vizitiu, Some aspects of sidelobe reduction in pulse compression radars using NLFM signal processing. Progress. Electromagn. Res. C. 47, 2014. – P. 119–129.
27. Xu Z, Wang X, Wang Y. Nonlinear Frequency-Modulated Waveforms Modeling and Optimization for Radar Applications. Mathematics. 10(21):3939, 2022.
28. Telminov O.A. Method of synthesis of nonlinear frequency-modulated signals with high dynamic range // Information control and telecommunication systems. Interuniversity collection. Moscow: MIET, 2002. pp. 94-101.
29. Chaikin George M. An algorithm for high speed curve generation // Computer Graphics and Image Processing. 3(4). 1974. – P. 346–349.
30. Schoenberg, Contributions to the problem of approximation of equidistant data by analytic functions // Quart.Appl.Math., vol. 4. 1946. – P. 45–99 and P. 112–141.
31. Utemisova A.A., Romanov P.Yu. Some methods of constructing Bezier curves // Mathematical and software systems in the industrial and social spheres.Vol. 6. No. 1, 2018. pp. 20-24.
