Estimating Uncertainty of Correlated Quantities - Comparison of Two Methods

Konopka, K.

doi:10.1109/imtc.2007.379061

Cited by 2 publications

(7 citation statements)

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“…Results for system parameters, the same as in examples I-IV, are presented in Table. It can be observed that despite uncertainty calculations using matrix A are approximate [1,9], they match with experimental values. U q (X(1) Re ) = 6.10 × 10 …”

Section: Examples Of Uncertainty Calculationsmentioning

confidence: 87%

Uncertainty Evaluation of Measurement Data Processing Algorithm Based on Its Matrix Form

Konopka

Topór-Kamiński

2011

Acta Phys. Pol. A

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Data processing algorithms are important parts of modern measurement systems. These algorithms are often delivered to the user as complex program and their numerical structure is not known. Therefore also influence of algorithm on processed data accuracy is not known. One of the methods to evaluate uncertainty propagation through algorithm is based on matrix form of algorithm. Coefficient matrix of algorithm represents its numerical operations and it is a basis to algorithm accuracy evaluation. The paper presents a method how to identify this coefficient matrix when algebraic form of the algorithm is known or is difficult to use. Identified matrix form of algorithm is then used to estimate uncertainty propagation through exemplary algorithms. Results are compared with experiments.

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Section: Examples Of Uncertainty Calculationsmentioning

confidence: 87%

Uncertainty Evaluation of Measurement Data Processing Algorithm Based on Its Matrix Form

Konopka

Topór-Kamiński

2011

Acta Phys. Pol. A

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“…The correctness of (19) was proven in a similar fashion, but in this case, digital sine samples were calculated using the algorithm shown in Fig. 10.…”

Section: Experimental Verification Of Resultsmentioning

confidence: 99%

“…The error δ RES U was calculated as the difference between the peak-to-peak and step calibration results. The result of δ RES U measurements with one-and three-sigma error bounds calculated from (19) is shown in Fig. 15.…”

Section: Experimental Verification Of Resultsmentioning

confidence: 99%

“…For example, the u r,V component is determined mainly by the uncertainty of the voltmeter and contains seven components (linearity of the voltmeter, its short-term stability, noise of the analog to digital converter of the voltmeter, and others). The calculation of uncertainty is even more complicated in the case of a correlation between uncertainty components [19]. In [9], the relative standard uncertainty of the step calibration was estimated to be equal to 1.6 μV/V, but the comparisons with dynamic DSS calibration methods (especially sampling) show that the uncertainty of the step calibration at frequencies below 100 Hz can be at the 1-μV/V level [13].…”

Section: Uncertainty Of Measurement Resultsmentioning

confidence: 99%

“…u r,RES is the relative standard uncertainty due to limited resolution of the DAC given by (17) or (19); and u r,nl is the relative standard uncertainty due to integral nonlinearity of the DAC. The other uncertainty components in (21) are the same as for (20).…”

Section: Uncertainty Of Measurement Resultsmentioning

confidence: 99%

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Analysis of the Effect of DAC Resolution on AC Voltage Generated by Digitally Synthesized Source

Kampik

2014

IEEE Trans. Instrum. Meas.

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This paper presents an analysis of the effect of the digital-to-analog converter resolution on the root-meansquare value of the sinusoidal signal generated by the digitally synthesized source (DSS) of low-frequency standard ac voltage. The analysis applies to the DSS being calibrated using the peak-to-peak method.Index Terms-AC voltage standard, digital signal synthesis, digital-to-analog converter (DAC), digitally synthesized source (DSS), root-mean-square (rms) value.

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Estimating Uncertainty of Correlated Quantities - Comparison of Two Methods

Cited by 2 publications

References 1 publication

Uncertainty Evaluation of Measurement Data Processing Algorithm Based on Its Matrix Form

Uncertainty Evaluation of Measurement Data Processing Algorithm Based on Its Matrix Form

Analysis of the Effect of DAC Resolution on AC Voltage Generated by Digitally Synthesized Source

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