2020
DOI: 10.21014/acta_imeko.v9i3.782
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Estimation of microwave resonant measurements uncertainty from uncalibrated data

Abstract: <div><p class="Abstract">We present an extended study on the uncertainty in resonant measurements. The uncertainty of the resonant frequency and quality factor was estimated. Two different measurement systems and different fitting approaches were used. The effect of the use of uncalibrated resonant curves on uncertainty was extensively studied. For the uncalibrated data the systematic contribution to the uncertainty was determined.</p></div>

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Cited by 10 publications
(6 citation statements)
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“…A Vector Network Analyser provides the measurements of the twoport scattering coefficients of the resonator. Frequency sweeps yield the quality factors Q i and ν i (i = 1, 2) of both modes by means of complex fits of the nonideal scattering coefficients [45,46].…”
Section: The Experimentsmentioning
confidence: 99%
“…A Vector Network Analyser provides the measurements of the twoport scattering coefficients of the resonator. Frequency sweeps yield the quality factors Q i and ν i (i = 1, 2) of both modes by means of complex fits of the nonideal scattering coefficients [45,46].…”
Section: The Experimentsmentioning
confidence: 99%
“…In particular, because of the presence of noise in measurements or because of limited points of the acquired spectrum, the estimation of such quantities could be inaccurate or, in other words, the measurement uncertainty may not fit the project requirements. In the literature, there are different strategies in order to increase the accuracy of the determination of f r and Q r [ 42 , 43 , 44 ]. For instance, a Lorentzian fitting can be performed on the acquired data points so that f r , Q , and the other parameters can be derived from the fitted equation analytically and with higher accuracy [ 45 , 46 ].…”
Section: Methodsmentioning
confidence: 99%
“…A better fitting approach consists in using a Lorentzian function [33], [34], which allows achieving a good estimation of the resonant parameters fR, Q, and AR. A more accurate result can be achieved by using a complex function to fit both real and imaginary parts of the spectrum [35], [36]. This technique can be useful in several applications in which the calibration procedure is impracticable (e.g., in cryogenic measurement systems) [36].…”
Section: Resonator Parameters Evaluationmentioning
confidence: 99%
“…A more accurate result can be achieved by using a complex function to fit both real and imaginary parts of the spectrum [35], [36]. This technique can be useful in several applications in which the calibration procedure is impracticable (e.g., in cryogenic measurement systems) [36]. The frequency-dependent behaviour of the magnitude of Γ of the microwave resonator was modelled as a Lorentzian function:…”
Section: Resonator Parameters Evaluationmentioning
confidence: 99%