DocumentCode
1247621
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
Volume
52
Issue
2
fYear
2005
Firstpage
289
Lastpage
296
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;
fLanguage
English
Journal_Title
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
Publisher
ieee
ISSN
0885-3010
Type
jour
DOI
10.1109/TUFFC.2005.1406554
Filename
1406554
Link To Document