Estimating the Instabilities of N Correlated Clocks

Francisco Javier Galindo, Juan Palacio

Abstract:	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.
Published in:	Proceedings of the 31th Annual Precise Time and Time Interval Systems and Applications Meeting December 7 - 9, 1999 Marriott's Laguna Cliffs Resort Dana Point, California
Pages:	285 - 296
Cite this article:	Galindo, Francisco Javier, Palacio, Juan, "Estimating the Instabilities of N Correlated Clocks," Proceedings of the 31th Annual Precise Time and Time Interval Systems and Applications Meeting, Dana Point, California, December 1999, pp. 285-296.
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