Article

A Simplified Technique for Distance and Velocity Measurements of Multiple Moving Objects Using a Linear Frequency Modulated Signal

Authors:
  • School of Integrated Technology, Yonsei University, Songdo, South Korea
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Abstract

In this paper, we propose a simplified algorithm for the unbiased estimation of range and the radial velocity of moving objects observed by a sensor with a frequency-modulated continuous wave signal. Linear frequency modulated signals and their different modifications are widely used in various microwave sensors for short- to medium-range measurements in automotive, safety, industrial, and other applications. Since the range (distance) to a detected object is measured as a beat frequency at the homodyne receiver output, the Doppler shift results in a biased measurement of the range. This phenomenon has been well known for a long time. The situation becomes more uncertain with an increase in the number of objects within the radar's field of view. There are many proposed techniques to solve this problem with one main technique adding a number of equations according to the number of detected objects in the hope of finding a single solution. We propose a simplifed system of those equations excluding all uncertainties from the hypothesis tree at the beginning of the procedure. When the performance of the signal processing hardware is limited, the simplicity of the algorithm increases in importance. The proposed technique is simple enough to be used on an embedded microprocessor. We performed an experiment involving a real microwave sensor to confirm a validity of the proposed algorithm.

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... Different types of radars were used in target detection and classification applications. In particular, the Frequency Modulated Continuous Wave radars (FMCW) are the mostly adopted ones in different applicative field, and in particular in automotive applications [9]- [14], since they are able to simultaneously provide both range and velocity. Such an information can be obtained through different processing scheme, e.g., by using a 2D FFT technique [15]. ...
... Fig. 7 exemplifies this calculation when a single pedestrian is present in the scenario. Using (9) and (11) to measure the range and Doppler profiles works fine for a single target situation. However, applying (9) directly in a multi-target scenario leads to wrong range profile estimations. ...
... Using (9) and (11) to measure the range and Doppler profiles works fine for a single target situation. However, applying (9) directly in a multi-target scenario leads to wrong range profile estimations. This is because in the multi-target case it is always expected to have multiple peaks in the range spectrum that are coming from different targets. ...
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... They obtained the measurement by using the Doppler effect on the down-chirp and the up-chirp LFMWs. However, in a multi-target situation, these detection methods cannot get the correct values of distance and velocity because of the existence of false targets [24]. ...
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... CDL exploits both range-free and range-based methods to obtain a better estimation quality [11]. For the Doppler shift problem of moving objects during distance estimation, Lee proposed a simplified system to exclude all the uncertainties from the hypothesis tree [12]. In [2], a classical multidimensional scaling algorithm is generalized to account for measurement. ...
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... However, as the number of targets increases, otherwise as the number of f bu and f bd increases, the possible combination of the up and down beat frequency increases, the ghost-target problem becomes very difficult to solve. To differentiate the true target from the ghost one, sometimes the system adds additional chirp signals with different slope (± f c T/B) to the existing waveform [15][16][17]. This adds additional line with different slope in R-v plane as shown in Figure 4. ...
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... Because the radar can clearly measure target range and the radial velocity simultaneously in multiple target situations, it is common to classify objects by analyzing velocity and range [29]- [31]. In [32], we studied how to classify objects more precisely based on velocity using an FMCW radar. ...
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He is currently Ph.D candidate in the School of Integrated Technology and Yonsei Institute of Convergence Technology, Yonsei University from 2012. His research area is development for microwave sensors
  • Tae-Yun
Tae-Yun Lee received the B.S. degrees in Earth System Science from Yonsei University, Seoul, Korea. He is currently Ph.D candidate in the School of Integrated Technology and Yonsei Institute of Convergence Technology, Yonsei University from 2012. His research area is development for microwave sensors, Electromagnetic Wave Signal Processing, and Inverse synthetic aperture radars.
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Y. Fan, K. Xiang, J. An, and X. Bu, "A new method of multi-target detection for FMCW automotive radar," in Radar Conference 2013, IET International, April 2013, pp. 1-4.
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H. Rohling and M. Kronauge, "New radar waveform based on a chirp sequence," in Radar Conference (Radar), 2014 International, Oct 2014, pp. 1-4.
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S. Kim, I. Paek, and M. Ka, "Simulation and test results of triangular fast ramp FMCW waveform," in Radar Conference (RADAR), 2013 IEEE, April 2013, pp. 1-4.