Waveform metrology: signal measurements in a modulated world

Hale, Paul D.; Williams, Dylan F.; Dienstfrey, Andrew

doi:10.1088/1681-7575/aad1cd

Cited by 35 publications

(5 citation statements)

References 136 publications

(246 reference statements)

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“…4a, the measured phases against the reference ones derived from the propagation delay measurements are depicted. The maximum obtained standard deviation is 0.0019 • for the transmission line of 508 mm length, against the uncertainty of 0.00014 • of the reference phase measurements obtained according to (2). Fig.…”

Section: Prototype Implementationmentioning

confidence: 78%

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Characterization of an accurate phase measurement system using transmission lines

De Vito,

Picariello,

Rapuano

et al. 2023

Proceedings of the 26th IMEKO TC4 International Symposium and 24th International Workshop on ADC/DAC Modelling and Testing

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This paper deals with the experimental characterization of an accurate phase measurement system using transmission lines as phase reference. In particular, the used prototype implementing the accurate phase measurement system is also described. The prototype characterization aims of assessing the repeatability of the phase measurement and identifying the systematic effects affecting them. Several transmission lines, priory characterized by means of a Vector Network Analyzer, have been used as phase references. The obtained results demonstrated the standard deviation increases with the sine-wave frequency, while systematic effects are clearly visible at 10 kHz and 100 kHz. The maximum obtained standard deviation at 10 MHz is 0.30 • .

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Section: Prototype Implementationmentioning

confidence: 78%

“…In several test procedures, sine-wave signal generators are adopted as sources of excitation for assessing the performance of waveform recorders [1], [2], [3], [4]. Those generators are often used to determine the magnitude and phase of the frequency response of waveform recorders (e.g., oscilloscopes) [5].…”

Section: Introductionmentioning

confidence: 99%

Characterization of an accurate phase measurement system using transmission lines

De Vito,

Picariello,

Rapuano

et al. 2023

Proceedings of the 26th IMEKO TC4 International Symposium and 24th International Workshop on ADC/DAC Modelling and Testing

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show abstract

“…The VNA is currently the most accurate instrument for measuring these multiple reflections, and the errors made by this frequency sampling instrument manifest themselves as correlated time domain errors in the magnitudes, shapes, and positions of the multiple reflections. Statistical uncertainties in VNA measurements cannot be transformed correctly into the time domain without an unbiased accounting of correlations created by the domain transformation [6].…”

Section: Bias In the Combine Modulementioning

confidence: 99%

“…Assume the sets of Y j and S q are independent. Suppose further that the Transform outputs N (T) j = F( Y j , ν ) and M (T) jq are given by ( 4) and ( 5) with F as in (6), and the Combine outputs N (C) and M (C) q are given by ( 7) and (8). Then…”

Section: Bias In the Combine Modulementioning

confidence: 99%

Monte Carlo sampling bias in the microwave uncertainty framework

et al. 2019

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Uncertainty propagation software can have unknown, inadvertent biases introduced by various means. This work treats bias identification and reduction in one such software package, the microwave uncertainty framework (MUF). The MUF provides automated multivariate statistical uncertainty propagation and analysis on a Monte Carlo (MC) basis. Combine is a key module in the MUF, responsible for merging data, raw or transformed, to accurately reflect the variability in the data and in its central tendency. In this work the performance of Combine's MC replicates is analytically compared against its stated design goals. An alternative construction is proposed for Combine's MC replicates and its performance is compared, too, against Combine's design goals. These comparisons reveal that Combine's MC uncertainty results with the current construction method are biased except under restrictive conditions. The bias with the proposed alternative construction, by contrast, is, without restriction, asymptotically zero (in the large MC sample size limit), and this construction is recommended.

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“…The VNA is currently the most accurate instrument for measuring these multiple reflections, and the errors made by this frequency sampling instrument typically manifest themselves as correlated time domain errors in the magnitudes, shapes, and positions of the multiple reflections. Statistical uncertainties in VNA measurements cannot be transformed correctly into the time domain without accounting for correlations created by the domain transformation [1].…”

Section: Introductionmentioning

confidence: 99%

Monte Carlo Sampling Bias in the Microwave Uncertainty Framework

Frey,

Jamroz,

Koepke

et al. 2019

Preprint

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Uncertainty propagation software can have unknown, inadvertent biases introduced by various means. This work is a case study in bias identification and reduction in one such software package, the Microwave Uncertainty Framework (MUF). The general purpose of the MUF is to provide automated multivariate statistical uncertainty propagation and analysis on a Monte Carlo (MC) basis. Combine is a key module in the MUF, responsible for merging data, raw or transformed, to accurately reflect the variability in the data and in its central tendency. In this work the performance of Combine's MC replicates is analytically compared against its stated design goals. An alternative construction is proposed for Combine's MC replicates and its performance is compared, too, against Combine's design goals. These comparisons are made within an archetypal two-stage scenario in which received data are first transformed in conjunction with shared systematic error and then combined to produce summary information. These comparisons reveal the limited conditions under which Combine's uncertainty results are unbiased and the extent of these biases when these conditions are not met. For small MC sample sizes neither construction, current or alternative, fully meets Combine's design goals, nor does either construction consistently outperform the other. However, for large MC sample sizes the bias in the proposed alternative construction is asymptotically zero, and this construction is recommended.

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Waveform metrology: signal measurements in a modulated world

Abstract: Optoelectronic time-domain characterization of a 100 GHz sampling oscilloscope H Füser, S Eichstädt, K Baaske et al.-100 GHz pulse waveform measurement based on electro-optic sampling Zhigang Feng, Kejia Zhao, Zhijun Yang et al.

Cited by 35 publications

References 136 publications

Characterization of an accurate phase measurement system using transmission lines

Characterization of an accurate phase measurement system using transmission lines

Monte Carlo sampling bias in the microwave uncertainty framework

Monte Carlo Sampling Bias in the Microwave Uncertainty Framework

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