A new approach to clock modeling and Kalman filter time and frequency prediction

An extension of a previously reported Kalman filter prediction algorithm is presented. In this new algorithm, the time variable is added to the clock model so that both the time and the frequency can be predicted. The long-term limitation of the previous prediction algorithm is removed by calculating the aging time constant using nonlinear fitting with the gradient search technique. The measurement noise covariance can be estimated if the process noise covariance is the null matrix.<<ETX>>

[1]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[2]  R. L. Filler,et al.  Application of Kalman filtering techniques to the precision clock with non-constant aging , 1992, Proceedings of the 1992 IEEE Frequency Control Symposium.

[3]  S. R. Stein Kalman filter analysis of precision clocks with real-time parameter estimation , 1989, Proceedings of the 43rd Annual Symposium on Frequency Control.

[4]  J. Vig,et al.  Long-term aging of oscillators , 1992, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[5]  S. R. Stein,et al.  Kalman filter analysis for real time applications of clocks and oscillators , 1988, Proceedings of the 42nd Annual Frequency Control Symposium, 1988..

[6]  J. Vig Introduction to Quartz Frequency Standards , 1992 .