Optimum Time Step and Memory for GPS-based Unbiased FIR Estimates of the Local Clock TIE Model

In this paper, we address a theoretical analysis of errors of the l-degree unbiased finite impulse response (FIR) filter applied to the if-degree time interval error (TIE) model of a local clock. Emphasizing the fact that the TIE model originates from the slowly changing Brownian phase and thus cann...

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Bibliographic Details
Main Authors: Shmaliy, Y.S., Munoz-Diaz, J., Arceo-Miquel, L., Ibarra-Manzano, O.
Format: Conference Proceeding
Language:English
Subjects:
Clocks
Finite impulse response filter
Frequency
Global Positioning System
Noise measurement
Nonlinear filters
Optimized production technology
Polynomials
Pulse measurements
Timing
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Summary:In this paper, we address a theoretical analysis of errors of the l-degree unbiased finite impulse response (FIR) filter applied to the if-degree time interval error (TIE) model of a local clock. Emphasizing the fact that the TIE model originates from the slowly changing Brownian phase and thus cannot obligatorily be distinct on a horizon of N points, we investigate estimates for l ne K and derive optimal horizons N opt (T opt ) as functions of the optimal time step T opt . Practical justification is provided based upon GPS-based sawtooth measurements of the TIE of a crystal clock imbedded to the Stanford Frequency Counter SR620 and using the SynPaQ III GPS Sensor and Symmetricom cesium standard of frequency as a reference source.
ISSN:2327-1914
DOI:10.1109/FREQ.2007.4319083