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Maciej Siwczynski, Miroslaw Koziol
Synthesis of Optimised Digital Filters Used to Signal Correction in Measurement Systems

An approach to the problem of designing a stable corrective digital filter is presented. Approach based on an assumption of a stabilisation level and minimisation of an approximation or an assumption of the approximation level and minimisation a stabilisation level of an ideal corrective filter. The correction is performed by a cascade connection of both systems. The obtained solution is an anticipative system.

Edward Layer
Shapes of Input Signals for the Calibration of Measuring System Intended for the Measurement of Dynamic Signals

Calibrating signals for measuring systems intended for measurement of dynamic signals are generally limited to standard signals. The unit step input in time domain and sinusoidal signal in frequency domain are the most often applied here. However dynamic signals have in the practice quite arbitrary shapes which significantly differ from the standard signals. In consequence, the results of a calibration process realised by means of standard input signals are in practice useless, except of some very particular cases. On the other hand the process of calibration can not be realised by means of any dynamic signal because it is undefined and the set of such signals is infinite. In such a situation assumption that the calibration results have to ensure the mutual comparability of measuring systems is possible to attain only if the errors estimated in process of calibration receive maximum values. For this purpose the special class of calibrating signals maximising the assumed error criterion have to be applied. The results received then are similar to the class indexes resulting from the maximum static error determined for measuring instruments for static measurements. The paper presents the possible shapes of input signals which maximise integral-square-error criterion on the output of linear time invariant measuring system and its standard. In such a way a situation in which all the possible dynamic signals which might occur at the input of a real system are taken into consideration at the same time. The advantage of the presented method is the possibility of making the calibration process independent of the input signal shape through the application of signals which maximize the chosen error criterion.

Adam Zuchowski, Bogdan Grzywacz
The Method of Creating of Procedures for Numerical Differentiation of Signals

The proposed method of creating of batch procedures for determining of signal derivatives bases on idea of so-called „ averaged differentiation”. It is shown, that application of moments of weight function allows to design the correction procedures , which can be used for recovery of instantaneous values of derivatives on the base of „averaged” on certain time interval derivatives of noisy signal x(t). The problem of accuracy of proposed correction procedures, also in case of presence of disturbances influencing the processed signal x(t), is deeply discussed. The obtained formulae can be used for optimisation of procedures ( minimisation of resultant influences caused by choice of width of interval of averaging and existence of disturbances). The optimisation of process of calculation of derivatives has been done for weight function in form of Nuttal’s window. Furthermore, the possibility of radical simplification of proposed numeric procedures has been examined .

Arkadiusz Drobnica, Zdzislaw Kaczmarek
A New Experimental Method for Correcting Dispersion in Pressure Bar Measurements of Impulsive Force and Pressure

A method for correcting dispersive distortion inside a pressure bar, on the basis of experimentally determining the bar's dispersive characteristic is presented in the paper. For this purpose the continuous wavelet transform together with the Gabor analyzing function was applied. In this method, a one-point measurement of the strain inside the bar was used. The results of correction of impact force waveforms, generated by longitudinal impacts of steel spheres into a steel bar, are presented.

T. Dominyuk, O. Ivakhiv, P. Mushenyk, A. Kowalczyk, B. Stadnyk
Serving Object Information State Estimation

The multiplex analog sources time division system general informative effectiveness is investigated in this paper.

Zbigniew Czaja, Romuald Zielonko
About Fault Diagnosis in Multiport Analog Electronic Circuits Based on Transformation of Multidimensional Spaces

Some new methods of fault diagnosis of electronic linear multiports based on bilinear transformation in multidimensional spaces are presented. They are extensions of the input-output methods 3D, 4D and 6D previously elaborated by authors for diagnosis of twoport electronic circuits. The methods can be applied in a diagnosis of linear electronic circuits with the aid of different technologies: conventional measurement systems, testing buses and neural networks. They can be utilised in practice for localisation and identification of single, double and triple faults. Examples illustrating the methods and the neural network application are included.

Magdalena Bockowska
The Optimal Correction of Known Measurement Windows

Digital filters are commonly used in engineering. In many different technical problems it is necessary to apply digital filtration with required accuracy of signal processing in defined frequency domain with possible great attenuation of disturbances. This paper concerns correctors of known measuring windows like Hamming and Barthann according to requirements mentioned above.

Ludwik Finkelstein
Weakly Defined Measurements

Measurement, in the wide sense, is defined as a process of empirical, objective assignment of symbols to attributes of objects and events of the real world, in such a way as to describe them. Strictly defined measurement is defined as measurement that conforms to the paradigm of the physical sciences. Weakly defined measurement is measurement in the wide sense, but which is not strongly defined. Strongly and weakly defined measurements are analysed and compared. They are compared with other forms of symbolic representation.

Andrea Zanobini, Gaetano Iuculano, Gabriella Pellegrini
Uncertainty Evaluation: Analysis of Simultaneous Measurement of Multiple Measurands

The Guide to the expression of uncertainty in measurement (GUM) (ISO,1995), contains internationally agreed recommendations for the evaluation and expression of uncertainties in a measurement process, providing valuable advise for constituting the model that relates input to output quantities.
If a probability density function is associated with each of input quantities, a probability “region” for the outputs quantities (the measurands) can be derived and its level of confidence may be evaluated by analytical or numerical methods.
This paper analyzes the uncertainty evaluation of a process concerning simultaneous measurement of multiple measurands on the base of the fundamental properties of the probability confidence region.

Michal K. Urbanski, Janusz Wasowski
A Fuzzy Approach for the Theory of Measurement Inexactness

In this paper we propose the weak t-norm (wt-norm) based arithmetics to describe the propagation of systematic as well as statistical inexactness. We use the general term “inexactness” to express all possible approaches of inaccuracy evaluations. In the presented theory the measurement results are fuzzy intervals. The arithmetic operators are obtained by applying the generalisation of Zadeh’s extension principle based on the wt-norm. The averaging operator defined in the framework of wt-norm arithmetic decreases the statistical component, and does not change the systematic component of inexactness. We are of the opinion that statistical method, preferred in the Guide, is not adequate to describe the systematic effects.

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