An optimal modification of a Kalman filter for time scales

C. A. Greenhall · 2004

The Jones-Tryon Kalman filter, which was implemented in the time scale algorithm TA(NIST), produces time scales with poor short-term stability. A simple reduction of the error covariance matrix allows the filter to produce time scales with good stability at all averaging times, as verified by simulations of clock ensembles.

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