Unbiased Fir Estimates Vs. the Sawtooth-Corrected GPS-Based Measurements : Experimental Evaluation

Y. S. Shmaliy, L. Arceo-Miquel, J. Munoz-Diaz, O. Ibarra-Manzano

Abstract:	We show that, owing to small noise and smoothed excursions, the unbiased FIR filtering algorithm produces more accurate estimates of the TIE model of a local clock than the sawtooth-less GPS-based measurements. The algorithm becomes much more efficient in estimating the fractional frequency offset and higher order states. For the algorithm to work with minimum errors, the optimal time step topt and number of the points in the average Nopt must be ascertained in the sense of the minimum mean-square error (MSE) for each of the clock states. The relevant dependencies of Nopt on topt are found experimentally for a crystal clock. The trade-off between the estimates and sawtooth-less measurements is illustrated graphically.
Published in:	Proceedings of the 38th Annual Precise Time and Time Interval Systems and Applications Meeting December 7 - 9, 2006 Hyatt Regency Reston Town Center Reston, Virginia
Pages:	347 - 360
Cite this article:	Shmaliy, Y. S., Arceo-Miquel, L., Munoz-Diaz, J., Ibarra-Manzano, O., "Unbiased Fir Estimates Vs. the Sawtooth-Corrected GPS-Based Measurements : Experimental Evaluation," Proceedings of the 38th Annual Precise Time and Time Interval Systems and Applications Meeting, Reston, Virginia, December 2006, pp. 347-360.
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