Using the autocorrelation function to characterize time series of voltage measurements

Metrologia

Volumn 44, Issue 3, 2007, Pages 201-209

  Witt, Thomas J ^a  

^a PAVILLON DE BRETEUIL   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BANDWIDTH; FUNCTION EVALUATION; LOW PASS FILTERS; TIME SERIES ANALYSIS; VOLTAGE MEASUREMENT; WHITE NOISE;

AUTOCORRELATION FUNCTION (ACF); WHITE VOLTAGE NOISE;

AUTOCORRELATION;

EID: 34249675767     PISSN: 00261394     EISSN: 16817575     Source Type: Journal    
DOI: 10.1088/0026-1394/44/3/006     Document Type: Article

References (16)

1. Witt T J 2000 Testing for correlations in measurements Advanced Mathematical and Computational Tools in Metrology IV (Singapore: World Scientific) pp 273-88
2. Barnes J A et al 1971 Characterization of frequency stability IEEE Trans. Instrum. Meas. IM-20 105-20
3. Witt T J and Reymann D 2000 Using power spectra and Allan variances to characterize the noise of Zener-diode voltage standards IEE Proc. Sci. Meas. Technol. 147 177-82
4. ISO/IEC 1995 Guide to the Expression of Uncertainty in Measurement (Geneva: International Organization for Standardization)
5. Zhang N F 2006 Calculation of the uncertainty of the mean of autocorrelated measurements Metrologia 43 S276-81
6. Priestley M B 1981 Spectral Analysis and Time Series (Amsterdam: Elsevier)
7. Witt T J 2005 Allan variances and spectral densities for dc voltage measurements with polarity reversals IEEE Trans. Instrum. Meas. 54 550-3
8. Witt T J 1998 Measurements of the temperature dependence of the output voltages of some Zener diode based voltage standards IEE Proc. Sci. Meas. Technol. 145 154-8
9. Kittel C 1958 Elementary Statistical Physics (New York: Wiley)
10. Bendat J S and Piersol A G 1993 Engineering Applications of Correlation and Spectral Analysis 2nd edn (New York: Wiley)
11. Box G E P, Jenkins G M and Reinsel G C 1994 Time Series Analysis: Forecasting and Control 3rd edn (Englewood Cliffs, NJ: Prentice Hall)
12. Kanji G K 1995 100 Statistical Tests (London: SAGE)
13. Witt T J and Tang Y 2005 Investigations of noise in measurements of electronic voltage standards IEEE Trans. Instrum. Meas. 54 567-70
14. Witt T J 2001 Using the Allan variance and power spectral density to characterize dc nanovoltmeters IEEE Trans. Instrum. Meas. 50 445-8
15. Mohr P J and Taylor B N 2005 CODATA recommended values of the fundamental physical constants Rev. Mod. Phys. 77 1-107
16. Williams E R et al 1998 Accurate measurement of the Planck constant Phys. Rev. Lett. 81 2404-7