E.A. Antokhin1
1 Saint Petersburg State University of Aerospace Instrumentation (St. Petersburg, Russia)
1 aearabota@yandex.ru
The technological level of analog and digital technology achieved so far makes it possible to create multifunctional integrated radio equipment. One of the functions of modern radio-technical means of observing the surrounding space is radar object recognition. The information contained in the signal reflected by the object is not fully extracted by the radar. The study of the possibility of extracting as much information as possible about the target-noise environment without significantly complicating technical means is of considerable interest. Purpose – to investigate the potential accuracy of estimating the characteristics of a spatially extended object observed by a sum-difference monopulse radar and a radar with an antenna array for radar recognition.
New expressions have been obtained for the Cramer–Rao bounds of estimates of the average power, angular coordinate, and effective angular extension of a spatially extended object observed by two types of radars. A comparison of the obtained families of dependencies of the estimated parameters on the SNR in the range of 0-30 dB at different values of the angular extension of the object shows that the nature of the dependencies of the RMS for the considered systems is identical. The region of low values of the SNR (0...15 dB) is characterized mainly by the influence of internal system noise and corresponds to the case of observing a point target. When the SNR is more than 15dB, the dependence of the RMS is stabilized, which is explained by the fact that measurement errors are determined only by the amplitude and angular noise of the object itself. An increase in the extension of an object is accompanied by an increase in the RMS. Practical relevance – estimates of the parameters of a spatially extended target can be used for radar recognition in multi-position surveillance systems, the components of which are radars of various types.
Antokhin E.A. Operative distribution of satellite repeater radio resource in terms of non-stationary ingress flow with account of time lagged control. Achievements of modern radioelectronics. 2025. V. 79. № 8. P. 76–85. DOI: https://doi.org/10.18127/j20700784-202508-08 [in Russian]
- Nenashev V.A., Nenashev S.A. Klassifikatsiya i raspoznavanie nazemnykh ob"ektov v potoke radiolokatsionnykh kadrov na osnove neyrosetevogo podkhoda. Avtomatizatsiya v promyshlennosti. 2024. № 1. S. 29–33. URL: https://rucont.ru/efd/902862 [in Russian]
- Kolomoets R.V. Analiz predpolagaemoy vozdushnoy obstanovki i vozmozhnostey sushchestvuyushchikh radiolokatsionnykh sistem. Mezhdunar. nauch.-issledovatel'skiy zhurnal. 2023. № 7 (133). DOI: 10.23670/IRJ.2023.133.3. URL: https://research-journal.org/archive/7-133-2023-july/10.23670/IRJ.2023.133.3. [in Russian]
- Dorosinskiy L.G., Vinogradova N.S. Radiolokatsiya slozhnykh tseley. Obnaruzhenie i raspoznavanie: monografiya. M.: Izdatelsky dom Akademii Estestvoznaniya. 2024. ISBN 978-5-91327-803-6 DOI 10.17513/np.609. [in Russian]
- Wang et al. Intelligent radar HRRP target recognition based on CNN BERT model Open Access. EURASIP Journal on Advances in Signal Processing RESEARCH EURASIP Journal on Advances in Signal Processing. Penghui Wang, Ting Chen1, Jun Ding, Mian Pan, Sanding Tang. https://doi.org/10.1186/s13634 022 00909 9.
- Myasnikov V.V. Osnovy statisticheskoy teorii raspoznavaniya obrazov i mashinnogo obucheniya: praktikum. Samara: Izd-vo Samarskogo un-ta. 2023.
- Pukharenko Yu.V., Norin V.A. Statisticheskaya obrabotka rezul'tatov izmereniy. Izd. 2-e. SPb: Lan'. 2022. URL: https://e.lanbook.com/book/224678 [in Russian]
- Bukhovets A.G., Semin E.A. Fraktal'nye aspekty modelirovaniya klassifikatsionnoy zadachi. Vestnik Voronezhskogo gosudarstvennogo universiteta. Ser.: Sistemnyy analiz i informatsionnye tekhnologii – 2022 g. № 3. S. 127–138. [in Russian]
- Dmitriev A.S., Ryzhov A.I., S'erra-Teran K.M. Vvedenie v statisticheskuyu teoriyu otnositel'noy peredachi informatsii na osnove khaoticheskikh signalov. Izvestiya vysshikh uchebnykh zavedeniy. Prikladnaya nelineynaya dinamika. 2023. T. 31. № 4. S. 421–438. [in Russian]
- Zhdanov A.A. Obshchaya teoriya sistem: analiz i dopolneniya. Elektron. izd. M.: Laboratoriya znaniy. 2024. [in Russian]
- Zen'kov I.V., Lapko A.V., Lapko V.A., Im S.T., Tubol'tsev V.P., Avdeenok V.L. Neparametricheskiy algoritm avtomaticheskoy klassifikatsii mnogomernykh statisticheskikh dannykh bol'shogo ob"ema i ego primenenie. Komp'yuternaya optika. 2021. T. 45. № 2. S. 253–260. DOI: 10.18287/2412-6179-CO-801. [in Russian]
- Bogdanov P.Yu., Kraeva E.V., Verevkin S.A., Poymanova E.D., Tatarnikova T.M. Programmnye sredy dlya izucheniya osnov neyronnykh setey. Programmnye produkty i sistemy. 2021. T. 34. № 1. S. 145–150. DOI: 10.15827/0236-235X.133.145-150. [in Russian]
- Patrick E.A. Fundamentals of Pattern Recognition. Englewood Cliffs, NJ, Prentice-Hall. 1972.
- Fal'kovich S.E., Khomyakov E.N. Statisticheskaya teoriya izmeritel'nykh radiosistem. M.: Radio i svyaz'. 1981. [in Russian]
- Peshkov I.V. Minimizatsiya nizhney granitsy Kramera-Rao dlya postroeniya antennykh reshetok s napravlennymi izluchatelyami dlya povysheniya tochnosti otsenok uglovykh koordinat radiosignalov. Zhurnal radioelektroniki [elektronnyy zhurnal]. 2022. № 2. S. 1–15. https://doi.org/10.30898/1684-1719.2022.2.10. [in Russian]
- Zhurakovskiy V.N., Logvinenko A.S. Nizhnyaya granitsa Rao–Kramera dispersiy sovmestnykh otsenok parametrov smesi uzkopolosnogo i shirokopolosnogo signalov s belym shumom. Radiotekhnika i elektronika. 2020. T. 65. № 5. S. 479–486. [in Russian]
- Ostrovityanov R.V., Basalov F.A. Statisticheskaya teoriya radiolokatsii protyazhennykh tseley. M.: Radio i svyaz'. 1982. [in Russian]
- Monakov A.A., Ostrovityanov R.V. Vliyanie shumov na tochnost' otsenivaniya polozheniya tsentra protyazhennogo ob"ekta. Izv. vuzov. Ser. Radioelektronika. 1992. № 5. S. 39–44. [in Russian]
- Leonov A.I., Fomichev K.I. Monoimpul'snaya radiolokatsiya. Izd. 2-e, pererab. i dop. M.: Radio i svyaz'. 1984. [in Russian]
- Monakov A.A. Otsenka algebraicheskikh momentov spektra sluchaynykh protsessov v zadachakh radiolokatsii protyazhennykh tseley. Uspekhi sovremennoy radioelektroniki. 2006. T. 60. № 10. S. 36–50. [in Russian]
- Goodman N.R. Statistical analysis based on a certain multivariate complex Gaussian distribution (an introduction). The Annals of Mathematical Statistics. 1963. V. 34. № 1. P. 152–177.
- Goodman N.R. The distribution of the determinant of a complex Wishart distributed matrix. The Annals of Mathematical Statistics. 1963. V. 34. № 1. P. 178–180.

