Journal of Radio Electronics. eISSN 1684-1719. 2025. №12
Full text in Russian (pdf)
DOI: https://doi.org/10.30898/1684-1719.2025.12.14
Mathematical model of a radar speed meter
with linear-frequency modulated signal
A.V. Ageeva
V.V. Tikhomirov Research Institute of Instrument Engineering
140180, Zhukovsky, Gagarin St., 3
The paper was received September 10, 2025.
Abstract. The relevance of the study is due to the need to improve the accuracy of metro train speed measurement to automate rolling stock control systems. Currently, metro rolling stock speed is measured using odometer sensors, which are subject to measurement errors due to skidding, slippage, and wheel wear, as well as unevenness, contamination, or icing of the rails. An alternative means of measuring rolling stock speed for existing odometer sensors is a millimeter-range homodyne radar sensor. Such a sensor ensures reliable speed measurement in all weather conditions, as well as when moving with zero illumination in a tunnel. The paper considers the problem of modeling a linear frequency modulated signal reflected from the underlying surface and received by a homodyne radar station installed on a moving platform. The object of the study is a millimeter-range homodyne radar. To solve the problem, a mathematical model of the developed signal, and performed modeling in the MATLAB environment, which made it possible to identify the features of the influence of motion factors and radar sensor characteristics on the shape of the received signal. The practical significance of the work lies in the possibility of using the calculation and modeling results in developing algorithms for processing radar data for a homodyne millimeter-range transceiver used in speed measurement systems on a mobile platform.
Key words: millimeter-range homodyne radar transceiver, linear frequency modulated signal, mathematical signal model of a homodyne speed meter.
Corresponding author: Ageeva Anastasia Vladimirovna, a.ageeva.niip@mail.ru
References
1. Марюхненко В.С., Гурулева М.А. Особенности применения радиолокационных измерителей скорости подвижных объектов железнодорожного транспорта // iPolytech Journal. – 2016. – №. 1 (108). – С. 129-142. [Maryukhnenko V.S., Guryuleva M.A. Features of the application of radar speedometers of moving objects of railway transport // iPolytech Journal. – 2016. – No. 1 (108). – P. 129-142.]
2. Гурулева М.А., Марюхненко В.С. Применение доплеровского измерителя для определения скорости подвижных железнодорожных единиц // Современные проблемы радиоэлектроники : сб. науч. тр. [Электронный ресурс] / науч. ред. В.Н. Бондаренко ; отв. за вып. А.А. Левицкий. – Красноярск : Сиб. федер. ун-т, 2015. С. 35-39. URL: Сборник_СПР-2015.pdf
3. Радиолокационные системы: учебник / В.П. Бердышев, Е.Н. Гарин, А.Н. Фомин [и др.]; под общ. ред.В. П. Бердышева. – Красноярск: Сиб. федер. ун-т,2011. 400 с. [Radar systems: textbook / V.P. Berdyshev, E.N. Garin, A.N. Fomin [et al.]; under the general editorship of V.P. Berdyshev. – Krasnoyarsk: Siberian Federal University, 2011. 400 p.]
4. Фельдман Ю.И., Мандуровский И.А. Теория флуктуаций локационных сигналов, отраженных распределенными цепями. – Радио и связь, 1988. [Feldman Yu.I., Mandurovsky I.A. Theory of fluctuations of location signals reflected by distributed circuits. – Radio and Communications, 1988.]
5. Агеева А.В., Вицукаев А.В., Колтышев Е.Е., Кудрявцева А.А. Применение высокочастотной малогабаритной РЛС AWR2243Boost в подвижных составах метрополитена для измерения скорости поезда // АО «ГРПЗ»: cборник научных статей – Рязань: ИП Коняхин А.В., 2025. C. 13-20. [Ageeva A.V., Vitsukaev A.V., Koltyshev E.E., Kudryavtseva A.A. Application of high-frequency small-sized radar AWR2243Boost in metro rolling stock for measuring train speed // JSC GRPZ: collection of scientific articles – Ryazan: IP Konyakhin A.V., 2025. P. 13-20.]
6. AWR2243 Evaluation Module (AWR2243BOOST) mmWave Sensing Solution // User’s Guide SPRUIT8D February 2020. 33 с. [AWR2243 Evaluation Module (AWR2243BOOST) mmWave Sensing Solution // User’s Guide SPRUIT8D February 2020. 33 p.]
7. Свидетельство о государственной регистрации программы для ЭВМ №2024681124 (РФ). Программа для измерения собственной скорости подвижного состава метро: №2024680184: заявл. 30.08.2024: опубл. 05.09.2024/ Вицукаев А.В., Павлович О.В, Кудрявцева А.А., Бородко Е.А., Агеева А.В. [Certificate of state registration of computer program No. 2024681124 (RF). Program for measuring the proper speed of metro rolling stock: No. 2024680184: declared. 30.08.2024: published. 05.09.2024 / Vitsukaev A.V., Pavlovich O.V., Kudryavtseva A.A., Borodko E.A., Ageeva A.V.]
For citation:
Ageeva A.V. Mathematical model of a radar speed meter with linear-frequency modulated signal // Journal of Radio Electronics. – 2025. – №12. https://doi.org/10.30898/1684-1719.2025.12.14 (In Russian)