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231224s2016 xx |||||o 00| ||eng c |
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|a 10.1109/TUFFC.2016.2570604
|2 doi
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|a pubmed24n0869.xml
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|a eng
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|a Rubiola, Enrico
|e verfasserin
|4 aut
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|a The Ω Counter, a Frequency Counter Based on the Linear Regression
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|c 2016
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|a Text
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|a ƒaComputermedien
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|a ƒa Online-Ressource
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|a Date Completed 13.06.2017
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|a Date Revised 13.06.2017
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|a published: Print-Electronic
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|a Citation Status PubMed-not-MEDLINE
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|a This paper introduces the Ω counter, a frequency counter-i.e., a frequency-to-digital converter-based on the linear regression (LR) algorithm on time stamps. We discuss the noise of the electronics. We derive the statistical properties of the Ω counter on rigorous mathematical basis, including the weighted measure and the frequency response. We describe an implementation based on a system on chip, under test in our laboratory, and we compare the Ω counter to the traditional Π and Λ counters. The LR exhibits the optimum rejection of white phase noise, superior to that of the Π and Λ counters. White noise is the major practical problem of wideband digital electronics, both in the instrument internal circuits and in the fast processes, which we may want to measure. With a measurement time τ , the variance is proportional to 1/τ(2) for the Π counter, and to 1/τ(3) for both the Λ and Ω counters. However, the Ω counter has the smallest possible variance, 1.25 dB smaller than that of the Λ counter. The Ω counter finds a natural application in the measurement of the parabolic variance, described in the companion article in this Journal [vol. 63 no. 4 pp. 611-623, April 2016 (Special Issue on the 50th Anniversary of the Allan Variance), DOI 10.1109/TUFFC.2015.2499325]
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|a Journal Article
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|a Lenczner, Michel
|e verfasserin
|4 aut
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|a Bourgeois, Pierre-Yves
|e verfasserin
|4 aut
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|a Vernotte, Francois
|e verfasserin
|4 aut
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|i Enthalten in
|t IEEE transactions on ultrasonics, ferroelectrics, and frequency control
|d 1986
|g 63(2016), 7 vom: 26. Juli, Seite 961-9
|w (DE-627)NLM098181017
|x 1525-8955
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|g volume:63
|g year:2016
|g number:7
|g day:26
|g month:07
|g pages:961-9
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|u http://dx.doi.org/10.1109/TUFFC.2016.2570604
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