Abstract:Abstract. Machine damage due to tool collisions is a widespread issue in milling production. These collisions are typically caused by human errors. A solution for this problem is proposed based on a low-complexity 24 GHz continuous wave (CW) radar system. The developed monitoring system is able to detect moving objects by evaluating the Doppler shift. It combines incoherent information from several spatially distributed Doppler sensors and estimates the distance between an object and the sensors. The specially… Show more
“…The observed noise voltage of the down-converted, digitized IQ-signal at the mixer output typically has a variance of less than 1 µV 2 , with Gaussian probability distribution. The following frequency estimator based on FFT and spectral peak detection (Wächter et al, 2014(Wächter et al, , 2015 attains the Cramer-Rao lower bound (CRLB) for signal-to-noise ratios (S/N) larger than 0 dB. The frequency estimation uncertainty is Gaussian distributed with variances of less than 1 Hz 2 , dependent on the S/N and the length of the observation interval kT s .…”
Section: Measurement Noise Modelmentioning
confidence: 99%
“…An even more sophisticated task is the prediction of future machine states and of temporary and instantaneous production steps, such as processes in milling machines. This leads to the notion of collision avoidance in automated machine tools in order to prevent damages and downtimes, which cause high maintenance and material costs (Wächter et al, 2014).…”
Section: Introductionmentioning
confidence: 99%
“…In this contribution, the approach of a predictive 24 GHz Doppler surveillance and collision avoidance radar is described. Extensions and continuations of the fundamental investigations in Wächter et al (2015), Azodi et al (2013) and Azodi et al (2014) are merged. A new signal processing stage for nonlinear target tracking based on Doppler shift estimates is introduced.…”
Abstract. A tracking solution for collision avoidance in industrial machine tools based on short-range millimeter-wave radar Doppler observations is presented. At the core of the tracking algorithm there is an Extended Kalman Filter (EKF) that provides dynamic estimation and localization in real-time. The underlying sensor platform consists of several homodyne continuous wave (CW) radar modules. Based on In-phase-Quadrature (IQ) processing and down-conversion, they provide only Doppler shift information about the observed target. Localization with Doppler shift estimates is a nonlinear problem that needs to be linearized before the linear KF can be applied. The accuracy of state estimation depends highly on the introduced linearization errors, the initialization and the models that represent the true physics as well as the stochastic properties. The important issue of filter consistency is addressed and an initialization procedure based on data fitting and maximum likelihood estimation is suggested. Models for both, measurement and process noise are developed. Tracking results from typical three-dimensional courses of movement at short distances in front of a multi-sensor radar platform are presented.
“…The observed noise voltage of the down-converted, digitized IQ-signal at the mixer output typically has a variance of less than 1 µV 2 , with Gaussian probability distribution. The following frequency estimator based on FFT and spectral peak detection (Wächter et al, 2014(Wächter et al, , 2015 attains the Cramer-Rao lower bound (CRLB) for signal-to-noise ratios (S/N) larger than 0 dB. The frequency estimation uncertainty is Gaussian distributed with variances of less than 1 Hz 2 , dependent on the S/N and the length of the observation interval kT s .…”
Section: Measurement Noise Modelmentioning
confidence: 99%
“…An even more sophisticated task is the prediction of future machine states and of temporary and instantaneous production steps, such as processes in milling machines. This leads to the notion of collision avoidance in automated machine tools in order to prevent damages and downtimes, which cause high maintenance and material costs (Wächter et al, 2014).…”
Section: Introductionmentioning
confidence: 99%
“…In this contribution, the approach of a predictive 24 GHz Doppler surveillance and collision avoidance radar is described. Extensions and continuations of the fundamental investigations in Wächter et al (2015), Azodi et al (2013) and Azodi et al (2014) are merged. A new signal processing stage for nonlinear target tracking based on Doppler shift estimates is introduced.…”
Abstract. A tracking solution for collision avoidance in industrial machine tools based on short-range millimeter-wave radar Doppler observations is presented. At the core of the tracking algorithm there is an Extended Kalman Filter (EKF) that provides dynamic estimation and localization in real-time. The underlying sensor platform consists of several homodyne continuous wave (CW) radar modules. Based on In-phase-Quadrature (IQ) processing and down-conversion, they provide only Doppler shift information about the observed target. Localization with Doppler shift estimates is a nonlinear problem that needs to be linearized before the linear KF can be applied. The accuracy of state estimation depends highly on the introduced linearization errors, the initialization and the models that represent the true physics as well as the stochastic properties. The important issue of filter consistency is addressed and an initialization procedure based on data fitting and maximum likelihood estimation is suggested. Models for both, measurement and process noise are developed. Tracking results from typical three-dimensional courses of movement at short distances in front of a multi-sensor radar platform are presented.
“…A very fine grid results in a highly coherent sensing matrix which not only causes more computational complexity, but also increases the ambiguity in the reconstruction process. In radar applications, such as collision avoidance radars (Azodi et al, 2014;Wächter et al, 2014), assuming a very fine discretization is not even practical as out-bound targets 1 considerably enlarge the solution domain. Targets, whose true motion states lie offside the grid points of the discretized solution domain, are commonly referred to as off-grid targets (Tan and Nehorai, 2014;Nielsen et al, 2012;Tang et al, 2012;Gurbuz et al, 2013).…”
Abstract. In a multi-sensor radar for the estimation of the targets motion states, more than one module of transmitter and receiver are utilized to estimate the positions and velocities of targets, also known as motion states. By applying the compressed sensing (CS) reconstruction algorithms, the surveillance space needs to be discretized. The effect of the additive errors due to the discretization are studied in this paper. The errors are considered as an additive noise in the wellknown under-determined CS problem. By employing properties of these errors, analytical models for its average and variance are derived. Numerous simulations are carried out to verify the analytical model empirically. Furthermore, the probability density functions of discretization errors are estimated. The analytical model is useful for the optimization of the performance, the efficiency and the success rate in CS reconstruction for radar as well as many other applications.
“…These collisions, which usually occur during the tool-change operation of the machine, dramatically increase the maintenance costs [7]. Therefore, an automated system for protecting the machine from these collisions is needed.…”
Compressed sensing algorithms are studied for the purpose of detecting targets and estimating their motion states in a collision warning radar system which consists of 4 continuouswave (CW) modules operating in the industrial, scientific, and medical (ISM) frequency band around 24 GHz. A method for sparse representation and a discretization adjusted to the problem are investigated. Also, the capabilities of various estimation algorithms belonging to the two groups of basis and greedy pursuits are compared considering the fine discretization in the six dimensional solution space.Index Terms-compressed sensing, anti-collision radar, moving target parameters estimation, incoherent radar sensor network.
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