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Abstract-This paper presents a new method for estimating the height of extended objects using a Frequency Modulation Continuous Wave (FMCW) automotive radar. The proposed algorithm exploits the frequency shift caused by the Doppler effect while approaching stationary objects, to estimate target heights. Thus, the algorithm does not require multiple vertical antennas for height finding. First, the measured radial velocity is derived using sensor target geometry, then, a target height is formulated as a function of target range, vehicle velocity and elevation angle component of the measured radial velocity. Next, the processing pipeline of the proposed Doppler Beam Sharpening (DBS) algorithm is described, and the three dimensional (3D) high resolution RELAX is applied to collected radar data to provide accurate range, azimuth angle and Doppler estimations of the detected targets. Finally height measurement results of an entrance gate 4.5 m high are presented and discussed. The results show that the proposed height finding algorithm can achieve a root mean squared error of 0.26 m.

Abstract. This paper introduces a novel target height estimation approach using a Frequency Modulation Continuous Wave (FMCW) automotive radar. The presented algorithm takes advantage of radar wave multipath propagation to measure the height of objects in the vehicle surroundings. A multipath propagation model is presented first, then a target height is formulated using geometry, based on the presented propagation model. It is then shown from Sensor-Target geometry that height estimation of targets is highly dependent on the radar range resolution, target range and target height. The high resolution algorithm RELAX is discussed and applied to collected raw data to enhance the radar range resolution capability. This enables a more accurate height estimation especially for low targets. Finally, the results of a measurement campaign using corner reflectors at different heights are discussed to show that target heights can be very accurately resolved by the proposed algorithm and that for low targets an average mean height estimation error of 0.03 m has been achieved by the proposed height finding algorithm.

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