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Mathematical Model of the Trajectory Velocity Measurement Error by Doppler Frequency Shift
Authors
	Medeev D.A.
	Pereverzev A.L.
Date of publication
	2022
DOI
	10.31114/2078-7707-2022-3-176-182
Abstract
	Trends in the development of modern systems impose the constraints on the placement, volume of equipment, velocity and accuracy of the measurements [1]. The paper describes a near-field radar device, which is the sensor of an information signal containing Doppler frequency shift [2]. Structure of the device for the generation and processing of high-frequency signal with double frequency conversion contains: the first intermediate frequency generator, the second intermediate frequency generator, the one sideband shaper, the low noise high frequency amplifier, the high frequency converter, the low noise intermediate frequency amplifier, the intermediate frequency converter and the Doppler frequency filter. The result of the direct measurements by Doppler radar is the radial velocity of the object [3]. Based on the Doppler effect, an interval mathematical model of trajectory velocity measurement is considered [4], in which the distance traveled is determined by the radial distance traveled during the measurement time, and then the trajectory velocity of the object is calculated from these data. The paper analyzes the model of interval velocity measurement and identifies the main parameters and characteristics affecting the accuracy. These include: wavelength of the probing signal, receiver noise, observation angle, and the duration of the measurement time interval [5-9]. The types of the relative errors are determined and their influence on the accuracy of the trajectory velocity determination is calculated. The graphical dependence of these errors on the measurement range is given. On the basis of the investigation it has been concluded that the measurement errors of trajectory velocity depends on the choice of a reference quartz resonator (generator) for the synthesis of the carrier frequency and sampling frequency, the energy characteristics of the radar station, the observing angle which the trajectory velocity is measured at and method of information signal processing. Thus, an additive mathematical model of the relative error of the trajectory velocity measurement has been and analyzed on the experimental data. The values of parameters and characteristics of the model were determined. The results of the investigation demonstrated that the error associated with the probe signal wavelength instability is not predominant. The greatest contribution to the total error is made by the signal-to-noise ratio. If the range of the radar is small, place the device closer to the axis of the object to reduce the angle error.
Keywords
	Doppler shift, radar station, trajectory velocity measurement, mathematical model, relative error.
Library reference
	Medeev D.A., Pereverzev A.L. Mathematical Model of the Trajectory Velocity Measurement Error by Doppler Frequency Shift // Problems of Perspective Micro- and Nanoelectronic Systems Development - 2022. Issue 3. P. 176-182. doi:10.31114/2078-7707-2022-3-176-182
URL of paper
	http://www.mes-conference.ru/data/year2022/pdf/D028.pdf