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A revisited three-cornered hat method for estimating frequency standard instability

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2 Author(s)
Premoli, Amedeo ; Dipartimento di Elettrotecnica, Elettronica ed Inf., Trieste Univ., Italy ; Tavella, P.

The three-cornered hat method used for evaluating the individual noise contributions of three frequency standards in a stability measurement is reexamined. The hypothesis of uncorrelation of the standards is not assumed a priori, as it is considered a cause of negative estimated variances. The introduction of covariances of measured data, together with the proposal of a suitable optimization criterion, allows one to estimate the complete covariance matrix of the three standards, ensuring its positive definiteness

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Instrumentation and Measurement, IEEE Transactions on  (Volume:42 ,  Issue: 1 )