Estimating Time From Atomic Clocks

Area of Science:

• Atomic clock synchronization
• Timekeeping algorithms
• Recursive estimation

Background:

• Accurate timekeeping is crucial for scientific and technological applications.
• Ensembles of atomic clocks offer enhanced stability and accuracy.
• Existing methods for time estimation from clock ensembles may lack flexibility.

Purpose of the Study:

• To develop a flexible and robust algorithm for time estimation from atomic clock ensembles.
• To incorporate automatic error detection and correction capabilities.
• To provide statistical measures for parameter estimation.

Main Methods:

• Development of a Kalman recursive algorithm for time estimation.
• Utilizing time differences between clocks as observations.
• Handling unequally spaced time points and dynamic clock ensemble changes (addition/deletion).
• Application of maximum likelihood estimation for parameter determination.

Main Results:

• The algorithm successfully estimates time from atomic clock ensembles.
• It supports dynamic addition or deletion of clocks without recalibration.
• Automatic error detection and correction mechanisms are integrated.
• Maximum likelihood estimates with confidence intervals and hypothesis tests are provided.

Conclusions:

• The developed Kalman algorithm offers a robust and adaptable solution for atomic clock time estimation.
• It enhances the reliability and accuracy of timekeeping systems.
• The algorithm is practical and has been implemented on a PDP 11/70 system.