Analysis of international comparisons with the minimum variance method

Helistö, Panu; Seppä, Heikki

doi:10.1109/tim.2003.810461

Cited by 2 publications

(4 citation statements)

References 6 publications

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“…• Both the artefact variances, q 2 j , and the laboratory variances, s 2 i , may be parametrized. This would be appropriate when, for example, the random errors characterized by the variances exhibit correlations over time [14]. Least-squares fits are readily adapted to include autoregressive and moving average models of noise [15].…”

Section: The Comparisonmentioning

confidence: 99%

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On the analysis of measurement comparisons

White

2004

Metrologia

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The method of constrained least squares is applied to the determination of laboratory bias and degrees of equivalence in the analysis of measurement comparisons. The analysis assumes a measurement model with unknown values for all travelling artefacts and laboratory biases. Least-squares fitting applied to this model yields an infinite set of solutions, all with the same inter-laboratory and inter-artefact differences. The application of a constraint, which can be interpreted as the definition of the key comparison reference value, then yields a single solution. Different types of constraint may be applied for known-value comparisons, for key comparisons without known values, and when linking regional metrology organization or supplementary comparisons to key comparisons. Once the laboratory biases are determined, the degrees of equivalence can be determined using the generic equations provided. The constrained-least-squares approach provides a single mathematical framework for the analysis of a wide range of comparisons including those with multiple artefacts of varying attributes, circulated amongst multiple overlapping comparison loops, laboratories that provide an arbitrary number of measurements of one or more of the artefacts, and spectral dependence of laboratory bias.

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Section: The Comparisonmentioning

confidence: 99%

“…An alternative approach to least squares is to sequentially minimize the variance in each estimate of the model parameters [7,8,14].…”

Section: The Model and Assumptionsmentioning

confidence: 99%

On the analysis of measurement comparisons

White

2004

Metrologia

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“…Coriolis vibration gyroscopes have two crucial parts, the drive and sense parts. The general drive part adopts the electrostatic excitation method, and the sense part adopts the capacitive detection method [14,[19][20][21]39,40].…”

Section: Drive and Sense Methodsmentioning

confidence: 99%

“…Another way to achieve mechanical tuning is to use new structures or materials [19][20][21]. This modification is highly innovative but risky, and few relevant results are available.…”

Section: Introductionmentioning

confidence: 99%

A Review of Symmetric Silicon MEMS Gyroscope Mode-Matching Technologies

Zhang

Chen

et al. 2022

Micromachines

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The symmetric MEMS gyroscope is a typical representative of inertial navigation sensors in recent years. It is different from the traditional mechanical rotor gyroscope in that it structurally discards the high-speed rotor and other moving parts to extend the service life and significantly improve accuracy. The highest accuracy is achieved when the ideal mode-matching state is realized. Due to the processing limitation, this index cannot be achieved, and we can only explore ways to approach this index continuously. This paper’s results of error suppression for the symmetric MEMS gyroscope are initially classified into three categories. The first category mainly introduces the processing structure and working mode of the symmetrical gyroscope. The second is mechanical tuning from the structure and the third is electrostatic tuning from the peripheral control circuit. Based on the listed results, the paper compares the two tuning modes and analyzes their advantages and disadvantages. The fourth category is the tuning means incorporating the emerging algorithm. On this basis, the elements of improvement for future high-precision symmetric MEMS gyroscopes are envisioned to provide a part of the theoretical reference for the future development direction of sensors in inertial navigation.

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Analysis of international comparisons with the minimum variance method

Cited by 2 publications

References 6 publications

On the analysis of measurement comparisons

On the analysis of measurement comparisons

A Review of Symmetric Silicon MEMS Gyroscope Mode-Matching Technologies

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