Abstract
A rigorous mathematical description of the signal reflected from a moving object for radar monitoring tasks using linear frequency modulated continuous wave (LFMCW) microwave radars is proposed. The mathematical model is based on the quasi-relativistic vector transformation of coordinates and Lorentz time. The spatio-temporal structure of the echo signal was obtained taking into account the transverse component of the radar target speed, which made it possible to expand the boundaries of the range of measuring the range and speed of vehicles using LFMCW radars. An algorithm for the simultaneous estimation of the range, radial and transverse components of the velocity vector of an object from the observation data of the time series during one frame of the probing signal is proposed. For an automobile 77 GHz microwave LFMCW radar, a computer experiment was carried out to measure the range and velocity vector of a radar target using the developed mathematical model of the echo signal and an algorithm for estimating the motion parameters. The boundaries of the range for measuring the range and speed of the target are determined. The results of the performed computer experiment are in good agreement with the results of theoretical analysis.
Highlights
In modern automobiles, microwave active locating systems are key elements of the widely adopted high-performance intelligent technologies [1,2]
To check the obtained results of theoretical analysis, we carried out a computational experiment simulating the operation of the linear frequency modulated continuous wave (LFMCW) radar in the mode of estimating the movement parameters
A rigorous signal mathematical, physically consistent model of the spatio-temporal structure offor the of an echo-radio of a radar, which realizes the verification of the effectiveness of methods echo signal of a radar operating in the active radar mode can be obtained using a quasi-relativistic vector transformation of Lorentz coordinates and time
Summary
Microwave active locating systems are key elements of the widely adopted high-performance intelligent technologies [1,2]. The ever-increasing requirements for the advanced ADAS systems of the “intelligent” car pose challenges for the solution of which fundamentally different approaches are required This includes the use of more sophisticated quasi-real-time signal processing algorithms, alternative modulation of sounding radar signals and the development of efficient microwave radar hardware [3,4,5,6]. It is generally accepted that for remote radio monitoring of the location and movement of surrounding objects in real time, i.e., simultaneously assessing the speed, range and bearing of targets in automotive applications, it is most effective to use microwave radars with linear frequency modulation (LFMCW) [1,2,3,4,5,6]. The target speed is determined by the Doppler frequency shift, and the range is determined by the time delay of the radio signal propagation in the environment [7,8,9]
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