Jacek Grzegorz Puchalski

Dr. Jacek Grzegorz Puchalski


Research Focus & Metrics

Academic Career Length

9Years (2018-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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3 December 2024 in Metrology
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Journal Article
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Z(Zygmunt Lech Warsza (emeritus)
Zygmunt Lech Warsza (emeritus)
JPJacek Grzegorz Puchalski
Jacek Grzegorz Puchalski
TWTomasz Więcek
Tomasz Więcek
This paper presents a novel method for determining parameters and uncertainty bands of nonlinear functions fitted to data obtained from measurements. In this procedure, one or two new variables are implemented to linearize this function for using the linear regression method. The best parameters of the straight-line in new variables are adjusted to the transformed coordinates of tested points according to the weighted total mean square criterion WTLS, or WTLS-C of data points are also correlated. Uncertainties of measured points are found according to the rules of the GUM Guide. The parameters and the uncertainty band of the nonlinear function result from the parameters of this straight line and of its uncertainty band. A few examples determining the parameters and uncertainty bands of different types of nonlinear functions are presented. There are also examples of measurements using the presented method and conclusions.

16 September 2023 in Pomiary Automatyka Robotyka
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Journal Article
Closed access
JPJacek Grzegorz Puchalski
Jacek Grzegorz Puchalski
Z(Zygmunt Lech Warsza (emeritus)
Zygmunt Lech Warsza (emeritus)
The paper presents a method of determining parameters and uncertainty bands of a specific non-linear function fitted to given measured data of examined points. One or both of the variables of this non-linear function are changed so as to linearize it. Using the linear regression method, fined are the most favorable parameters of this straight line for its adjustment to the measured values of the coordinates of points tested according to the weighted total mean square WTLS criterion. Their autocorrelation and cross-correlation coefficients as well as uncertainties estimated according to the rules of the GUM guide are considered. The parameters and the uncertainty band of the non-linear function result from the parameters of this straight line and its uncertainty band. Numerical examples of determining the parameters and uncertainty bands for the branch of a 2nd degree parabola (two methods) and for the complex exponential function are given.

18 August 2023 in Energies
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JFJanusz D. Fidelus
Janusz D. Fidelus
JPJacek Grzegorz Puchalski
Jacek Grzegorz Puchalski
ATAnna Trych-Wildner
Anna Trych-Wildner
MUMichał K. Urbański
Michał K. Urbański
PWPaula Weidinger
Paula Weidinger
The article provides an analysis of the metrological properties of a 5 MN·m torque transducer. The relative electrical signal (given in electrical units, mV/V) as a function of torque measured in both the clockwise and anticlockwise directions was monitored. To fit the data, the weighted method of least squares with both a straight-line and a cubic spline curve was used. The results of the analysis indicated that the straight-line fitting method produced smaller values of expanded uncertainty than the cubic spline fitting method. Additionally, the study confirmed the assumptions that the Monte Carlo method for propagating uncorrelated distributions was more accurate than the uncertainty propagation method, regardless of the type of curve fitting used. From the estimated uncertainty coverage corridor at selected measurement points, confidence intervals–expanded uncertainties were determined. Additionally, the fuzzy sets approach to the evaluation of uncertainty was presented, and the approximate value of the expanded uncertainty was calculated.

30 April 2021
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Book Chapter
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ZWZygmunt Lech Warsza
Zygmunt Lech Warsza
JPJacek Grzegorz Puchalski
Jacek Grzegorz Puchalski

1 August 2018 in Journal of Physics: Conference Series
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ZWZygmunt Warsza
Zygmunt Warsza
JPJacek Grzegorz Puchalski
Jacek Grzegorz Puchalski
Signal processing in a multi-variable indirect measurement system and its uncertainties is considered. It was proposed to extend the vector method of estimating uncertainties, given in Supplement 2 to GUM for the use to describe the accuracy of instrumental systems for indirect multivariable measurements. A formula for the covariance matrix of relative uncertainties is also given. As the example, the covariance matrix for indirect measurements of the star form circuit resistances from its terminals was determined and influence of of the measurement channels uncertainties are analyzed.

30 September 2020 in Pomiary Automatyka Robotyka
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Journal Article
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Z(Zygmunt Lech Warsza (emeritus)
Zygmunt Lech Warsza (emeritus)
JPJacek Grzegorz Puchalski
Jacek Grzegorz Puchalski
W serii kilku prac omówi się szacowanie dokładności parametrów linii prostej wyznaczanej metodą regresji liniowej dla różnych przypadków danych pomiarowych. Nawiązując do zaleceń Przewodnika Wyznaczania Niepewności Pomiarów GUM, uwzględnia się...