% % This file was created by the TYPO3 extension % bib % --- Timezone: CET % Creation date: 2024-03-28 % Creation time: 18-22-55 % --- Number of references % 42 % @Article { EichstadtW2017, title = {Evaluation of uncertainty for regularized deconvolution: A case study in hydrophone measurements}, journal = {J. Acoust. Soc. Am.}, year = {2017}, month = {6}, day = {6}, volume = {141}, number = {6}, pages = {4155--4167}, tags = {8.4,8.42,Unsicherheit,Dynamik}, DOI = {10.1121/1.4983827}, author = {Eichst{\"a}dt, S and Wilkens, V} } @Article { KobuschE2017, title = {A case study in model-based dynamic calibration of small strain gauge force transducers}, journal = {Acta IMEKO}, year = {2017}, month = {4}, day = {1}, volume = {6}, number = {1}, pages = {3--12}, abstract = {Abstract: Investigations of the model-based dynamic calibration of a small strain gauge force transducer of high bandwidth revealed new challenges for parameter identification. This paper discusses a more generalized mechanical model of the calibration set-up employed taking account of the transducer’s connection to its mechanical environment at both ends. Based on new experimental sine and shock force data, the improved model is studied and its parameters are identified. It is shown that the proposed model is capable of linking the calibration results of both calibration methods to a much better degree. This paper is an extended version of the original contribution to the IMEKO 2015 conference in Prague, Czech Republic.}, keywords = {dynamic modelling, parameter identification, sine force calibration, shock force calibration}, tags = {8.4,8.42,Dynamik}, DOI = {10.21014/acta_imeko.v6i1.433}, author = {Kobusch, M and Eichst{\"a}dt, S} } @Article { EichstadtESE2017, title = {Evaluation of dynamic measurement uncertainty – an open-source software package to bridge theory and practice}, journal = {J. Sens. Sens. Syst.}, year = {2017}, month = {2}, day = {14}, volume = {6}, pages = {97-105}, tags = {8.4,8.42,Unsicherheit,Dynamik}, DOI = {10.5194/jsss-6-97-2017}, author = {Eichst{\"a}dt, S and Elster, C and Smith, I M and Esward, T J} } @Article { Eichstaedt2016d, title = {On the evaluation of uncertainties for state estimation with the Kalman filter}, journal = {Measurement Science and Technology}, year = {2016}, month = {10}, day = {20}, volume = {27}, number = {12}, pages = {125009}, abstract = {The Kalman filter is an established tool for the analysis of dynamic systems with normally distributed noise, and it has been successfully applied in numerous areas. It provides sequentially calculated estimates of the system states along with a corresponding covariance matrix. For nonlinear systems, the extended Kalman filter is often used. This is derived from the Kalman filter by linearization around the current estimate. A key issue in metrology is the evaluation of the uncertainty associated with the Kalman filter state estimates. The “Guide to the Expression of Uncertainty in Measurement” (GUM) and its supplements serve as the de facto standard for uncertainty evaluation in metrology. We explore the relationship between the covariance matrix produced by the Kalman filter and a GUM-compliant uncertainty analysis. In addition, the results of a Bayesian analysis are considered. For the case of linear systems with known system matrices, we show that all three approaches are compatible. When the system matrices are not precisely known, however, or when the system is nonlinear, this equivalence breaks down and different results can then be reached. For precisely known nonlinear systems, though, the result of the extended Kalman filter still corresponds to the linearized uncertainty propagation of the GUM. The extended Kalman filter can suffer from linearization and convergence errors. These disadvantages can be avoided to some extent by applying Monte Carlo procedures, and we propose such a method which is GUM-compliant and can also be applied online during the estimation. We illustrate all procedures in terms of a two-dimensional dynamic system and compare the results with those obtained by particle filtering, which has been proposed for the approximate calculation of a Bayesian solution. Finally, we give some recommendations based on our findings.}, keywords = {Kalman filter, uncertainty, dynamic measurement, state-space system, state estimation}, tags = {8.4, 8.42, Dynamik}, DOI = {10.1088/0957-0233/27/12/125009}, author = {Eichst{\"a}dt, S and Makarava, N and Elster, C} } @Article { DierlEFKEE2016, title = {Improved estimation of reflectance spectra by utilizing prior knowledge}, journal = {Journal of the Optical Society of America A}, year = {2016}, month = {6}, day = {23}, volume = {33}, number = {7}, pages = {1370--1376}, keywords = {dynamic measurement, dynamic uncertainty, deconvolution}, tags = {8.42, Dynamik, Regression}, DOI = {10.1364/JOSAA.33.001370}, author = {Dierl, M and Eckhard, T and Frei, B and Klammer, M and Eichst{\"a}dt, S and Elster, C} } @Article { Eichstaedt2016c, title = {On challenges in the uncertainty evaluation for time-dependent measurements}, journal = {Metrologia}, year = {2016}, month = {6}, volume = {53}, number = {4}, abstract = {The measurement of quantities with time-dependent values is a common task in many areas of metrology. Although well established techniques are available for the analysis of such measurements, serious scientific challenges remain to be solved to enable their routine use in metrology. In this paper we focus on the challenge of estimating a time-dependent measurand when the relationship between the value of the measurand and the indication is modeled by a convolution. Mathematically, deconvolution is an ill-posed inverse problem, requiring regularization to stabilize the inversion in the presence of noise. We present and discuss deconvolution in three practical applications: thrust-balance, ultra-fast sampling oscilloscopes and hydrophones. Each case study takes a different approach to modeling the convolution process and regularizing its inversion. Critically, all three examples lack the assignment of an uncertainty to the influence of the regularization on the estimation accuracy. This is a grand challenge for dynamic metrology, for which to date no generic solution exists. The case studies presented here cover a wide range of time scales and prior knowledge about the measurand, and they can thus serve as starting points for future developments in metrology. The aim of this work is to present the case studies and demonstrate the challenges they pose for metrology.}, keywords = {dynamic measurement, dynamic uncertainty, deconvolution}, tags = {8.42, Dynamik}, DOI = {10.1088/0026-1394/53/4/S125}, author = {Eichst{\"a}dt, S and Wilkens, V and Dienstfrey, A and Hale, P and Hughes, B and Jarvis, C} } @Article { e73c330da32016, title = {GUM2DFT — a software tool for uncertainty evaluation of transient signals in the frequency domain}, journal = {Measurement Science and Technology}, year = {2016}, month = {3}, day = {22}, volume = {27}, number = {5}, pages = {055001}, abstract = {The Fourier transform and its counterpart for discrete time signals, the discrete Fourier transform (DFT), are common tools in measurement science and application. Although almost every scientific software package offers ready-to-use implementations of the DFT, the propagation of uncertainties in line with the guide to the expression of uncertainty in measurement (GUM) is typically neglected. This is of particular importance in dynamic metrology, when input estimation is carried out by deconvolution in the frequency domain. To this end, we present the new open-source software tool GUM2DFT , which utilizes closed formulas for the efficient propagation of uncertainties for the application of the DFT, inverse DFT and input estimation in the frequency domain. It handles different frequency domain representations, accounts for autocorrelation and takes advantage of the symmetry inherent in the DFT result for real-valued time domain signals. All tools are presented in terms of examples which form part of the software package. GUM2DFT will foster GUM-compliant evaluation of uncertainty in a DFT-based analysis and enable metrologists to include uncertainty evaluations in their routine work.}, keywords = {dynamic measurements; deconvolution; discrete Fourier transform; uncertainty;}, tags = {8.42, Dynamik}, DOI = {10.1088/0957-0233/27/5/055001}, author = {Eichst{\"a}dt, S and Wilkens, V} } @Article { Eichstadt2016, title = {Modellierung dynamischer Messsysteme - von stochastischen Prozessen zu praktikablen Messunsicherheiten}, journal = {tm - Technisches Messen}, year = {2016}, month = {1}, day = {6}, volume = {83}, number = {2}, pages = {66-70}, abstract = {Dynamische Messungen spielen eine zunehmend wichtigere Rolle in der metrologischen und industriellen Praxis. Zugleich stellt die Analyse dynamischer Messungen unter Ber{\"u}cksichtigung metrologischer Gesichtspunkte neue Herausforderungen an die mathematische und statistische Modellierung. Dieser Artikel stellt eine Reihe aktueller Modellierungskonzepte zu den einzelnen Aspekten der Messkette einer dynamischen Messungen vor. Es werden Vor- und Nachteile der Modellierungskonzepte diskutiert und Zielstellungen f{\"u}r zuk{\"u}nftige Forschungsarbeiten herausgestellt.}, tags = {8.42, Dynamik}, web_url = {http://www.degruyter.com/view/j/teme.2016.83.issue-2/teme-2015-0098/teme-2015-0098.xml?format=INT}, ISSN = {0171-8096}, DOI = {10.1515/teme-2015-0098}, author = {Eichst{\"a}dt, S and Elster, C} } @Article { Kobusch2015, title = {Investigations for the model-based dynamic calibration of force transducers by using shock excitation}, journal = {ACTA IMEKO}, year = {2015}, month = {1}, day = {5}, volume = {4}, number = {2}, pages = {45-51}, abstract = {Within the scope of the joint research project EMRP IND09 “Traceable dynamic measurements of mechanical quantities”, numerous measurements were performed at PTB’s 20 kN primary shock force calibration device to investigate and validate the approach of a model-based dynamic calibration of force transducers by using shock excitations. The tests included several strain gauge force transducers of greatly differing structural design, size, weight and mechanical coupling. By looking at a few examples, some investigated physical models of the measurement set-up and a developed data analysis procedure for parameter identification based on measured shock data are presented and discussed. The models reproduce the dynamic response including the observed modal oscillations of various origins that limit the usable measurement bandwidth. Moreover, these modal oscillations may have an important role for the parameter identification process, which is further discussed. This paper is an extended version of the original contribution to the IMEKO 2014 conference in Cape Town, South Africa.}, note = {Open Access}, keywords = {model-based dynamic calibration, dynamic calibration, dynamic modelling,editor,force transducers, imeko}, tags = {8.42, Dynamik}, url = {fileadmin/internet/fachabteilungen/abteilung_8/8.4_mathematische_modellierung/Publikationen_8.4/ACTA_IMEKO_2014_Kobusch_et_al_preprint.pdf}, web_url = {http://acta.imeko.org/index.php/acta-imeko/article/view/IMEKO-ACTA-04\%20\%282015\%29-02-08/384}, author = {Kobusch, M and Eichst{\"a}dt, S and Klaus, L and Bruns, T} } @Article { Klaus2014a, title = {Dynamic torque calibration by means of model parameter identification}, journal = {ACTA IMEKO}, year = {2015}, month = {1}, day = {4}, volume = {3}, number = {1}, pages = {1-6}, abstract = {For the dynamic calibration of torque transducers, a model of the unmounted transducer and an extended model of the mounted transducer including the measuring device have been developed. The dynamic behaviour of a torque transducer under test will be described by its model parameters. This paper presents the models comprising the known parameters of the measuring device andthe unknown parameters of the transducer and how the calibration measurements are going to be carried out. The principle for the identification of the transducer’s model parameters from measurement data is described using a least squares approach. The influence of a variation of the transducer’s parameters on the frequency response of the expanded model is analysed.}, note = {Open Access}, keywords = {mechanical model,model parameter identification}, tags = {8.42, Dynamik}, web_url = {http://acta.imeko.org/index.php/acta-imeko/article/view/IMEKO-ACTA-04\%20\%282015\%29-02-07/385}, author = {Klaus, L and Arendack{\'a}, B and Kobusch, M and Bruns, T} } @Article { Matthews2014e, title = {Mathematical modelling to support traceable dynamic calibration of pressure sensors}, journal = {Metrologia}, year = {2014}, volume = {51}, number = {3}, pages = {326-338}, keywords = {dynamic measurement, pressure, parametric model}, tags = {8.42, Dynamik, Regression}, url = {fileadmin/internet/fachabteilungen/abteilung_8/8.4_mathematische_modellierung/Publikationen_8.4/Mathematical_Modelling_Dynamic_Pressure_preprint.pdf}, web_url = {http://iopscience.iop.org/article/10.1088/0026-1394/51/3/326}, publisher = {IOP Publishing}, language = {en}, ISBN = {doi:10.1088/0026-1394/51/3/326}, ISSN = {0026-1394}, DOI = {10.1088/0026-1394/51/3/326}, author = {Matthews, C and Pennecchi, F and Eichst{\"a}dt, S and Malengo, A and Esward, T and Smith, I M and Elster, C and Knott, A and Arrh{\'e}n, F and Lakka, A} } @Article { Eichstaedt2014, title = {Evaluation of measurement uncertainties for time-dependent quantities}, journal = {EPJ Web of Conferences}, year = {2014}, volume = {77}, number = {3}, abstract = {One of the main challenges in the analysis of dynamic measurements is the estimation of the time-dependent value of the measurand and the corresponding propagation of uncertainties. In this paper we outline the design of appropriate digital compensation filters as a means of estimating the quantity of interest. For the propagation of uncertainty in the application of such digital filters we present online formulae for finite impulse response and infinite impulse response filters. We also demonstrate a recently developed efficient Monte Carlo method for uncertainty propagation in dynamic measurements which allows calculating point-wise coverage intervals in real-time.}, tags = {8.42, Dynamik}, url = {fileadmin/internet/fachabteilungen/abteilung_8/8.4_mathematische_modellierung/Publikationen_8.4/epjconf_icm2014_00003.pdf}, booktitle = {EPJ Web of Conferences}, DOI = {10.1051/epjconf/20147700003}, author = {Eichst{\"a}dt, S and Arendack{\'a}, B and Link, A and Elster, C} } @Article { Eichstadt2014a, title = {Reliable uncertainty evaluation for ODE parameter estimation - a comparison}, journal = {Journal of Physics: Conference Series}, year = {2014}, volume = {490}, number = {1}, pages = {012230}, keywords = {Regression, ODE, parameter identification, dynamic calibration, modelling}, tags = {8.42,Dynamik, Regression}, web_url = {http://iopscience.iop.org/article/10.1088/1742-6596/490/1/012230}, publisher = {IOP Publishing}, language = {en}, ISSN = {1742-6596}, DOI = {10.1088/1742-6596/490/1/012230}, author = {Eichst{\"a}dt, S and Elster, C} } @Article { Arendacka2014a, title = {Linear Mixed Models: Gum and Beyond}, journal = {Measurement Science Review}, year = {2014}, volume = {14}, number = {2}, pages = {52-61}, abstract = {In Annex H.5, the Guide to the Evaluation of Uncertainty in Measurement (GUM) [1] recognizes the necessity to analyze certain types of experiments by applying random effects ANOVA models. These belong to the more general family of linear mixed models that we focus on in the current paper. Extending the short introduction provided by the GUM, our aim is to show that the more general, linear mixed models cover a wider range of situations occurring in practice and can be beneficial when employed in data analysis of long-term repeated experiments. Namely, we point out their potential as an aid in establishing an uncertainty budget and as means for gaining more insight into the measurement process. We also comment on computational issues and to make the explanations less abstract, we illustrate all the concepts with the help of a measurement campaign conducted in order to challenge the uncertainty budget in calibration of accelerometers.}, keywords = {dynamic measurement, acceleration, dynamic calibration, mixed model, design of experiment}, tags = {8.42, Dynamik, Unsicherheit}, url = {fileadmin/internet/fachabteilungen/abteilung_8/8.4_mathematische_modellierung/Publikationen_8.4/epjconf_icm2014_00003.pdf}, web_url = {http://www.degruyter.com/view/j/msr.2014.14.issue-2/msr-2014-0009/msr-2014-0009.xml}, ISSN = {1335-8871}, DOI = {10.2478/msr-2014-0009}, author = {Arendack{\'a}, B and T{\"a}ubner, A and Eichst{\"a}dt, S and Bruns, T and Elster, C} } @Article { Eichstadt2013a, title = {Comparison of the Richardson-Lucy method and a classical approach for spectrometer bandpass correction}, journal = {Metrologia}, year = {2013}, volume = {50}, number = {2}, pages = {107-118}, abstract = {Bandpass correction in spectrometer measurements using monochromators is often necessaryin order to obtain accurate measurement results. The classical approach of spectrometer bandpass correction is based on local polynomial approximations and the use of finite differences. Here we compare this approach with an extension of the Richardson–Lucy method, which is well known in image processing, but has not been applied to spectrum bandpass correction yet. Using an extensive simulation study and a practical example, we demonstrate the potential of the Richardson–Lucy method. In contrast to the classical approach, it is robust w.r.t. wavelength step size and measurement noise. In almost all cases the Richardson–Lucy method turns out to be superior to the classical approach both in terms of spectrum estimate and its associated uncertainties.}, keywords = {dynamic measurement, bandwidth correction, spectral estimation, deconvolution}, tags = {8.42, Dynamik}, url = {fileadmin/internet/fachabteilungen/abteilung_8/8.4_mathematische_modellierung/Publikationen_8.4/Eichstaedt_bandwidth_correction.pdf}, web_url = {http://iopscience.iop.org/article/10.1088/0026-1394/50/2/107}, publisher = {IOP Publishing}, language = {en}, DOI = {10.1088/0026-1394/50/2/107}, author = {Eichst{\"a}dt, S and Schm{\"a}hling, F and W{\"u}bbeler, G and Anhalt, K and B{\"u}nger, L and Kr{\"u}ger, U and Elster, C} } @Article { Eichstaedt2012a, title = {Efficient implementation of a Monte Carlo method for uncertainty evaluation in dynamic measurements}, journal = {Metrologia}, year = {2012}, volume = {49}, number = {3}, pages = {401}, abstract = {Measurement of quantities having time-dependent values such as force, acceleration or pressure is a topic of growing importance in metrology. The application of the Guide to the Expression of Uncertainty in Measurement (GUM) and its Supplements to the evaluation of uncertainty for such quantities is challenging. We address the efficient implementation of the Monte Carlo method described in GUM Supplements 1 and 2 for this task. The starting point is a time-domain observation equation. The steps of deriving a corresponding measurement model, the assignment of probability distributions to the input quantities in the model, and the propagation of the distributions through the model are all considered. A direct implementation of a Monte Carlo method can be intractable on many computers since the storage requirement of the method can be large compared with the available computer memory. Two memory-efficient alternatives to the direct implementation are proposed. One approach is based on applying updating formulae for calculating means, variances and point-wise histograms. The second approach is based on evaluating the measurement model sequentially in time. A simulated example is used to compare the performance of the direct and alternative procedures.}, tags = {8.42, Dynamik, Unsicherheit}, DOI = {10.1088/0026-1394/49/3/401}, author = {Eichst{\"a}dt, S and Link, A and Harris, P M and Elster, C} } @Article { Bruns2012, title = {The influence of different vibration exciter systems on high frequency primary calibration of single-ended accelerometers: II}, journal = {Metrologia}, year = {2012}, volume = {49}, number = {1}, pages = {27--31}, keywords = {dynamic calibration, accelerometer, dynamic measurement}, tags = {8.42, Dynamik}, web_url = {http://iopscience.iop.org/article/10.1088/0026-1394/49/1/005}, publisher = {IOP Publishing}, language = {en}, ISSN = {0026-1394}, DOI = {10.1088/0026-1394/49/1/005}, author = {Bruns, T and Link, A and T{\"a}ubner, A} } @Article { Fuser2012, title = {Optoelectronic time-domain characterization of a 100 GHz sampling oscilloscope}, journal = {Measurement Science and Technology}, year = {2012}, volume = {23}, number = {2}, pages = {025201}, abstract = {We have performed an optoelectronic measurement of the impulse response of an ultrafast sampling oscilloscope with a nominal bandwidth of 100 GHz within a time window of approximately 100 ps. Our experimental technique also considers frequency components above the cut-off frequency of higher-order modes of the 1.0 mm coaxial line, which is shown to be important for the specification of the impulse response of ultrafast sampling oscilloscopes. Additionally, we have measured the reflection coefficient of the sampling head induced by the mismatch of the sampling circuit and the coaxial connector which is larger than 0.5 for certain frequencies. The uncertainty analysis has been done using the Monte Carlo method of Supplement 1 to the ‘Guide to the Expression of Uncertainty in Measurement’ and correlations in the estimated impulse response have been determined. Our measurements extend previous work which deals with the characterization of 70 GHz oscilloscopes and the measurement of 100 GHz oscilloscopes up to the cut-off frequency of higher-order modes.}, keywords = {dynamic measurement, oscilloscope, dynamic calibration, impulse response}, tags = {8.42,Dynamik}, url = {fileadmin/internet/fachabteilungen/abteilung_8/8.4_mathematische_modellierung/Publikationen_8.4/Fueser_Osci_preprint.pdf}, web_url = {http://iopscience.iop.org/article/10.1088/0957-0233/23/2/025201}, publisher = {IOP Publishing}, language = {en}, ISSN = {0957-0233}, DOI = {10.1088/0957-0233/23/2/025201}, author = {F{\"u}ser, H and Eichst{\"a}dt, S and Baaske, K and Elster, C and Kuhlmann, K and Judaschke, R and Pierz, K and Bieler, M} } @Inbook { Eichstaedt2012e, title = {Uncertainty evaluation for continuous-time measurements}, year = {2012}, volume = {Advanced Mathematical \& Computational Tools in Metrology and Testing IX }, pages = {126-135}, keywords = {dynamic measurement, continuous function, stochastic process, uncertainty}, tags = {8.42, Dynamik, Unsicherheit}, editor = {F. Pavese, M. B{\"a}r, J.-R. Filtz, A. B. Forbes, L. Pendrill, K. Shirono}, publisher = {World Scientific New Jersey}, series = {Series on Advances in Mathematics for Applied Sciences}, edition = {84}, chapter = {16}, author = {Eichst{\"a}dt, S and Elster, C} } @Inbook { Esward2012, title = {Uncertainty evaluation for traceable dynamic measurement of mechanical quantities: A case study in dynamic pressure calibration}, year = {2012}, volume = {Advanced Mathematical \& Computational Tools in Metrology and Testing IX  }, pages = {143-151}, keywords = {dynamic pressure, calibration, dynamic measurement}, tags = {8.42, Dynamik, Unsicherheit}, editor = {F. Pavese, M. B{\"a}r, J.-R. Filtz, A. B. Forbes, L. Pendrill, K. Shirono}, publisher = {World Scientific New Jersey}, series = {Series on Advances in Mathematics for Applied Sciences}, edition = {84}, chapter = {19}, author = {Esward, T J and Matthews, C and Downes, S and Knott, A and Eichst{\"a}dt, S and Elster, C} } @Phdthesis { Eichstaedt_Thesis, title = {Analysis of Dynamic Measurements - Evaluation of dynamic measurement uncertainty}, year = {2012}, abstract = {Metrology is concerned with the establishment of measurement units and the transfer of measurement standards to industry. International comparability of measurement results requires internationally agreed guidelines for specific measurement tasks and a standardised treatment of measurement uncertain- ties. To this end, the Guide to the Expression of Uncertainty in Measurement (GUM) provides the framework for the evaluation and interpretation of mea- surement uncertainty in metrology. However, it does not address dynamic measurements, which are of growing importance for industry and metrology. Typical examples of dynamic measurements are in-cylinder measurements in the automotive industry (pressure), crash tests (e.g., acceleration and force) or assembly line measurements (e.g., torque and force). A reliable calibra- tion of the measurement systems employed, which can be related to national standards, requires a consistent evaluation of measurement uncertainty for dynamic measurements.The goal of this thesis is to develop a framework for the evaluation of uncer- tainty in dynamic measurements in metrology that are closely related to the treatment of static measurements. The measurement systems considered are those that can be modelled by a linear and time-invariant (LTI) system since such models cover a wide range of metrological applications. The measured values are the values of the system output signal, whereas the values of the quantity of interest serve as the system input signal. Estimation of the in- put signal is considered to be carried out by means of digital filtering in the discrete time domain from which inference of the continuous-time signal is sought.This requires the design of digital filters, an uncertainty evaluation for regu- larised deconvolution and a framework for the definition and propagation of the uncertainty of a continuous function. The design of digital filters for de- convolution is well-established in the signal processing literature. The same holds true for the propagation of variances through LTI systems. However, propagation of variances through uncertain LTI systems for evaluation of uncertainty in the sense of GUM has only recently been considered. The methods developed so far focus on the evaluation of uncertainties and do not address regularisation errors. Moreover, the relation of the discrete-time es- timate to the actual continuous-time measurand has not yet been addressed.We extend the available results for the evaluation of uncertainties to the propagation of associated probability density functions and propose efficient calculation schemes. Moreover, the ill-posed deconvolution problem requires regularisation. We develop a reliable quantitative evaluation of the uncer- tainty contribution due to regularisation assuming a particular type of prior knowledge. We present a framework for the evaluation of uncertainty for con- tinuous measurements, which addresses the definition, assignment and prop- agation of uncertainty. Finally, we develop a technique for the calculation of uncertainty associated with a continuous-time estimate of the measurand from a discrete-time estimate.The proposed techniques provide a complete framework for the consistent and reliable evaluation of uncertainty in the analysis of a dynamic measurement.}, keywords = {dynamic measurement, dynamic uncertainty, digital filter, deconvolution}, tags = {8.42, Dynamik}, url = {fileadmin/internet/fachabteilungen/abteilung_8/8.4_mathematische_modellierung/Publikationen_8.4/842_Dynamik_Diss_Eichstaedt.pdf}, address = {Berlin}, school = {TU Berlin}, type = {PhD Thesis}, author = {Eichst{\"a}dt, S} } @Article { Eichstadt2010i, title = {Dynamic uncertainty for compensated second-order systems}, journal = {Sensors}, year = {2010}, volume = {10}, number = {8}, pages = {7621-31}, abstract = {The compensation of LTI systems and the evaluation of the according uncertainty is of growing interest in metrology. Uncertainty evaluation in metrology ought to follow specific guidelines, and recently two corresponding uncertainty evaluation schemes have been proposed for FIR and IIR filtering. We employ these schemes to compare an FIR and an IIR approach for compensating a second-order LTI system which has relevance in metrology. Our results suggest that the FIR approach is superior in the sense that it yields significantly smaller uncertainties when real-time evaluation of uncertainties is desired.}, keywords = {dynamic model, digital filter, deconvolution, dynamic measurement}, tags = {8.42, Dynamik}, web_url = {http://www.mdpi.com/1424-8220/10/8/7621/htm}, publisher = {Molecular Diversity Preservation International}, language = {en}, DOI = {10.3390/s100807621}, author = {Eichst{\"a}dt, S and Link, A and Elster, C} } @Article { Eichstadt2010k, title = {On-line dynamic error compensation of accelerometers by uncertainty-optimal filtering}, journal = {Measurement}, year = {2010}, volume = {43}, number = {5}, pages = {708-713}, abstract = {The output signal of an accelerometer typically contains dynamic errors when a broadband acceleration is applied. In order to determine the applied acceleration, post-processing of the accelerometer{\^a}{\euro}™s output signal is required. To this end, we propose the application of a digital FIR filter. We evaluate the uncertainty associated with the filtered output signal and give explicit formulae which allow for on-line calculation. In this way, estimation of the applied acceleration and the calculation of associated uncertainties may be carried out during the measurement. The resulting uncertainties can strongly depend on the design of the applied filter and we describe a simple method to construct an uncertainty-optimal filter. The benefit of the proposed procedures is illustrated by means of simulated measurements.}, keywords = {Accelerometer,Digital filter,Dynamic measurements,Dynamik,Uncertainty}, tags = {8.42, Dynamik, Unsicherheit}, web_url = {http://www.sciencedirect.com/science/article/pii/S0263224110000023}, DOI = {10.1016/j.measurement.2009.12.028}, author = {Eichst{\"a}dt, S and Link, A and Bruns, T and Elster, C} } @Article { Eichstadt2010j, title = {Deconvolution filters for the analysis of dynamic measurement processes: a tutorial}, journal = {Metrologia}, year = {2010}, volume = {47}, number = {5}, pages = {522-533}, keywords = {deconvolution, digital filter, dynamic measurement}, tags = {8.42, Dynamik}, publisher = {IOP Publishing}, language = {en}, DOI = {10.1088/0026-1394/47/5/003}, author = {Eichst{\"a}dt, S and Elster, C and Esward, T J and Hessling, J P} } @Article { Link2009b, title = {Uncertainty evaluation for IIR (infinite impulse response) filtering using a state-space approach}, journal = {Measurement Science and Technology}, year = {2009}, volume = {20}, number = {5}, pages = {055104}, keywords = {dynamic measurement, digital filter, deconvolution, dynamic uncertainty}, tags = {8.42,Dynamik, Unsicherheit}, publisher = {IOP Publishing}, DOI = {10.1088/0957-0233/20/5/055104}, author = {Link, A and Elster, C} } @Inbook { Wuebbeler2009, title = {Impact of correlation in the measured frequency response on the results of a dynamic calibration}, year = {2009}, volume = {Advanced Mathematical \& Computational Tools in Metrology VIII}, pages = {369-374}, keywords = {dynamic measurement, frequency response, dynamic calibration}, tags = {8.42, Dynamik, Unsicherheit}, editor = {F. Pavese, M. B{\"a}r, J.M. Limares, C. Perruchet, N.F. Zhang}, publisher = {World Scientific New Jersey}, series = {Series on Advances in Mathematics for Applied Sciences}, edition = {78}, chapter = {52}, author = {W{\"u}bbeler, G and Link, A and Bruns, T and Elster, C} } @Inbook { Elster2009m, title = {Analysis of dynamic measurements: compensation of dynamic error and evaluation of uncertainty}, year = {2009}, volume = {Advanced Mathematical \& Computational Tools in Metrology VIII}, pages = {80-89}, tags = {8.42, Dynamik, Unsicherheit}, editor = {F. Pavese, M. B{\"a}r, J.M. Limares, C. Perruchet, N.F. Zhang}, publisher = {World Scientific New Jersey}, series = {Series on Advances in Mathematics for Applied Sciences}, edition = {78}, chapter = {13}, author = {Elster, C and Link, A} } @Article { Elster2008c, title = {Uncertainty evaluation for dynamic measurements modelled by a linear time-invariant system}, journal = {Metrologia}, year = {2008}, volume = {45}, number = {4}, pages = {464-473}, keywords = {dynamic measurement, digital filter, deconvolution, dynamic uncertainty}, tags = {8.42,Dynamik, Unsicherheit}, publisher = {IOP Publishing}, DOI = {10.1088/0026-1394/45/4/013}, author = {Elster, C and Link, A} } @Article { Link2007b, title = {Modelling accelerometers for transient signals using calibration measurements upon sinusoidal excitation}, journal = {Measurement}, year = {2007}, volume = {40}, number = {9-10}, pages = {928-935}, abstract = {A recently proposed accelerometer model is applied for determining the accelerometer's output to transient accelerations. The model consists of a linear, second-order differential equation with unknown coefficients. It is proposed to estimate these model parameters from sinusoidal calibration measurements, and an estimation procedure based on linear least-squares is presented. In addition, the uncertainties associated with the estimated parameters are determined utilizing a Monte Carlo simulation technique. The performance of the proposed modelling approach was tested by its application to calibration measurements of two back-to-back accelerometers (ENDEVCO type 2270 and Br{{\"u}}el {\&} Kj{\ae}r type 8305). For each of the two accelerometers, the model was first estimated from sinusoidal calibration measurements and then used to predict the accelerometer's behaviour for two shock calibration measurements. Measured and predicted shock sensitivities were found consistent with differences below 1{\%} in most cases which confirms the benefit of the proposed modelling approach.}, keywords = {IIR filter,Modelling,Shock excitation,Sinusoidal excitation,Uncertainty, dynamic measurement}, tags = {8.42,Dynamik}, DOI = {10.1016/j.measurement.2006.10.011}, author = {Link, A and T{\"a}ubner, A and Wabinski, W and Bruns, T and Elster, C} } @Article { Elster2007b, title = {Analysis of dynamic measurements and determination of time-dependent measurement uncertainty using a second-order model}, journal = {Measurement Science and Technology}, year = {2007}, volume = {18}, number = {12}, pages = {3682-3687}, keywords = {dynamic measurement}, tags = {8.42,Dynamik, Unsicherheit}, publisher = {IOP Publishing}, language = {en}, DOI = {10.1088/0957-0233/18/12/002}, author = {Elster, C and Link, A and Bruns, T} } @Article { Martens2006, title = {Final report on the key comparison EUROMET.AUV.V-K1}, journal = {Metrologia}, year = {2006}, volume = {43}, number = {1A}, pages = {09002-09002}, tags = {8.42,Dynamik,KC}, publisher = {IOP Publishing}, DOI = {10.1088/0026-1394/43/1A/09002}, author = {von Martens, H-J and Elster, C and Link, A and T{\"a}ubner, A and Bruns, T} } @Article { Link2006a, title = {Calibration of accelerometers: determination of amplitude and phase response upon shock excitation}, journal = {Measurement Science and Technology}, year = {2006}, volume = {17}, number = {7}, pages = {1888-1894}, tags = {8.42,Dynamik}, publisher = {IOP Publishing}, language = {en}, DOI = {10.1088/0957-0233/17/7/030}, author = {Link, A and T{\"a}ubner, A and Wabinski, W and Bruns, T and Elster, C} } @Article { Link2006, title = {Modellierung von Kraft- und Beschleunigungsaufnehmern f{\"u}r die Sto{\ss}kalibrierung (Modelling Force and Acceleration Transducers for Shock Calibrations)}, journal = {tm - Technisches Messen}, year = {2006}, volume = {73}, number = {12}, pages = {675-683}, tags = {8.42,Dynamik}, DOI = {10.1524/teme.2006.73.12.675}, author = {Link, A and Kobusch, M and Bruns, T and Elster, C} } @Article { VonMartens2005, title = {Fortschritte bei Schwingungs- und Sto{\ss}kalibrierung mittels Laserinterferometrie}, journal = {Technisches Messen}, year = {2005}, volume = {72}, pages = {141-152}, tags = {8.42,Dynamik}, DOI = {10.1524/teme.72.3.141.60281}, author = {von Martens, H-J and Wabinski, W and Link, A and Schlaak, H-J and T{\"a}ubner, A and G{\"o}bel, U} } @Article { Link2005, title = {Identifikation von Beschleunigungsaufnehmern mit hochintensiven St{\"o}{\ss}en}, journal = {tm - Technisches Messen}, year = {2005}, volume = {72}, number = {3-2005}, pages = {153-160}, tags = {8.42,Dynamik}, DOI = {10.1524/teme.72.3.153.60277}, author = {Link, A and Wabinski, W and von Martens, H-J} } @Article { Link2004b, title = {Accelerometer identification using shock excitation}, journal = {Measurement}, year = {2004}, volume = {35}, number = {1}, pages = {191-199}, tags = {8.42, Dynamik}, DOI = {10.1016/j.measurement.2003.08.007}, author = {Link, A and Martens, H-J} } @Incollection { Link2004a, title = {Accelerometer identification by high shock intensities using laser interferometry}, year = {2004}, volume = {5503}, pages = {580-587}, tags = {8.42, Dynamik}, booktitle = {Proceedings of SPIE}, event_name = {SPIE}, author = {Link, A and Wabinski, W and Martens, H-J} } @Article { Elster2000b, title = {Evaluation of measurement uncertainty in the presence of combined random and analogue-to-digital conversion errors}, journal = {Measurement Science and Technology}, year = {2000}, volume = {11}, number = {9}, pages = {1359}, abstract = {The evaluation of the uncertainty in measurement in the presence of combined random errors and errors due to the analogue-to-digital conversion of measuring signals is studied. The following situation is investigated. Analogue measuring signals of a measurand under study are obtained. The signals are assumed to contain random errors with a Gaussian distribution and they are converted into the digital form. Only the resulting digital signals are to be available. The Bayesian theory of measurement uncertainty is applied to the analysis. An estimator is assigned to the measurand and the distribution of this estimator is determined. This distribution can then be used to numerically calculate a best estimate of the measurand and its associated uncertainty. The application of this approach to some examples is presented and compared with results obtained by treating random and analogue-to-digital conversion errors additively and independently, which is frequently done. In some cases, remarkable differences are found which can justify the increased time and effort involved in the approach proposed.}, tags = {8.42, Dynamik}, web_url = {http://stacks.iop.org/0957-0233/11/i=9/a=315}, DOI = {10.1088/0957-0233/11/9/315}, author = {Elster, C} } @Article { Martens2000, title = {Traceability of vibration and shock measurements by laser interferometry}, journal = {Measurement}, year = {2000}, volume = {28}, number = {1}, pages = {3-20}, tags = {8.42, Dynamik}, DOI = {10.1016/S0263-2241(00)00003-8}, author = {von Martens, H-J and T{\"a}ubner, A and Wabinski, W and Link, A and Schlaak, H-J} } @Article { Gerhardt2000, title = {Zeitdiskrete Amplituden- und Nulllageregelung f{\"u}r sinusf{\"o}rmige Beschleunigungen bis 50 kHz}, journal = {tm - Technisches Messen}, year = {2000}, volume = {6}, number = {1}, pages = {274-282}, tags = {8.42, Dynamik}, DOI = {10.1524/teme.2000.67.6.274}, author = {Gerhardt, J and Schlaak, H-J} } @Article { Link2000a, title = {Calibration of accelerometers by shock excitation and laser interferometry}, journal = {Shock. Vib.}, year = {2000}, volume = {7}, number = {1}, pages = {101-112}, tags = {8.42, Dynamik}, DOI = {10.1155/2000/531718}, author = {Link, A and Martens, H-J} } @Incollection { Link2000b, title = {Accelerometer identification using laser interferometry}, year = {2000}, pages = {126-136}, tags = {8.42, Dynamik}, booktitle = {Proceedings of SPIE}, event_name = {SPIE 4072}, author = {Link, A and Wabinski, W and Pohl, A and von Martens, H-J} }