Title :
The clock model and its relationship with the Allan and related variances
Author :
Zucca, Cristina ; Tavella, Patrizia
Author_Institution :
Dipt. di Matematica, Torino Univ., Italy
Abstract :
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.
Keywords :
Kalman filters; clocks; differential equations; digital circuits; random noise; stochastic processes; Allan variances; Kalman filter; clock errors; clock model; clock noise; diffusion coefficients; noise estimation; stochastic differential equations; 1f noise; Clocks; Colored noise; Covariance matrix; Differential equations; Error correction; Frequency conversion; Mathematical model; Predictive models; Stochastic resonance;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
DOI :
10.1109/TUFFC.2005.1406554
