Estimating the Instabilities of N Correlated Clocks
REAL OBSERVATORIO DE LA ARMADA (SPAIN)
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The estimation of individual instabilities of N clocks, when only differences of phase-time clocks readings are available, can be carried out even supposing cross-correlation between clocks. Based on the original analysis of this problem, developed by P. Tavella and A. Premoli, and the Kuhn-Tucker theorem 1951, a new way to solve the constrained minimization problem will be introduced. We propose our particular Kuhn-Tucker equations The already well-known constraint function and two new candidates objective functions. Advantages and inconveniences in the objective function election will be considered. Finally, our proposal will consist of solving two constrained minimization problems the first of them to obtain an intermediate solution to be used as initial condition in the second minimization problem. Examples with some experimental data from the Real Observatorio de la Armada en San Fernando illustrate the capabilities of this proposal.
- Statistics and Probability
- Test Facilities, Equipment and Methods