System oriented mathematical model of single measurement result

• Autorzy: Jakubiec J.
• Języki publikacji: EN

Abstrakty

EN

Measurements in a system are performed automatically by using data acquisition cards typically consisting of an amplifier, a samplelhold circuit and an analog-to-digital converter. The results obtained from these cards are processed by a program. The processing algorithms are often of sophisticated numerical structure and, in this situation, the determination of inaccuracy of the system output data needs building a system error model. The base of the error model construction should be a model of a single measurement result delivered at the output of the card. The paper presents a model which has been obtained on the basis of an analysis of the quantization process consisting in a direct comparison of the measured quantity with a standard of quantum character. In a measuring system the quantization is realized by an AD converter, which measures a sample of a time-varying input quantity. The assumption that the sampling is performed at any moment enables obtaining the model described in probabilistic categories, which may be the basis of the uncertainty calculation of the system output data.

Słowa kluczowe

EN

measurement system; data acquisition card; single measurement result model; error model; quantization

• Wydawca: Komitet Metrologii i Aparatury Naukowej PAN
• Czasopismo: Metrology and Measurement Systems
• Rocznik: 2006
• Tom: Vol. 13, nr 4
• Strony: 405--419
• Opis fizyczny: Bibliogr. 9 poz., rys., tab., wykr.

Twórcy

autor

Jakubiec J.

• Silesian University of Technology, Institute of Metrology, Electronics and Automatic Control, Poland,

Bibliografia

• 1. Bell A. B.: Standards for Waveform Metrology Based on Digital Techniques. Journal of Research of the National Institute of Standards and Technology. vol. 95, no. 4, 1990, pp. 377-405.
• 2. Jakubiec J.: Application of Reductive Interval Arithmetic to Uncertainty Evaluation of Measurement Data Processing Algorithms. Monograph. Wyd. Pol. Śl., Gliwice 2002.
• 3. Jakubiec J.: Reductive Interval Arithmetic Application to Uncertainty Calculation of Measurement Result Burdened Correlated Errors. Metrology and Measurement Systems. vol. X, no. 2 (2003), pp. 137-156.
• 4. Jakubiec J., Konopka K.: Coherence Coefficient as Uncertainty Parameter of Error Value Set. Proc. of the IMEKO-TC7 Symposium „Measurement Science of the Information Era”, Cracow, Poland, June 25-27 2002, pp.76-81.
• 5. Jakubiec J., Konopka K.: A Method of Error Source Identification of A/D Measuring Chain. Proc. 20th IEEE Instrumentation and Measurement Technology Conference IMTC/03, Vail, CO, USA, 20-22 May 2003, pp. 1659-1664.
• 6. Jaworski J.: Mathematical Principles of Metrology. WNT, Warszawa 1979. (in Polish)
• 7. Mac Ghee J., Kulesza W., Henderson I. A., Korczyński M. J.: Measurement Data Handling. Ed. The Technical University of Lodz, 2001.
• 8. Morawski R. Z.: Unified Approach to Measurement Signal Reconstruction. Measurement, 1991, 9(3) pp.141-144.
• 9. Guide to the Expression of Uncertainty in Measurement, ISO/IEC/OIML/BIPM, 1992, 1995.