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The clock model and its relationship with the Allan and related variances

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2 Author(s)
Zucca, C. ; Dipt. di Matematica, Torino Univ., Italy ; Tavella, P.

The clock errors are modeled by stochastic differential equations (SDE) and the relationships between the diffusion coefficients used in SDE and the Allan variance, a typical tool used to estimate clock noise, are derived. This relationship is fundamental when a mathematical clock model is used, for example in Kalman filter, noise estimation, and clock prediction activities.

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Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on  (Volume:52 ,  Issue: 2 )