GPS-Based Adaptive Estimating of Time Errors for Clock Synchronization With a FIR Filter

Y. Shmaliy, A. Marienko, O. Ibarra-Manzano, R. Rojas-Laguna, J. Fernandez-Cortes

Abstract: In this paper, we investigate one of the possibilities to adapt an unbiased moving average (MA) filter (finite impulse response [FIR] filter) to the slope of time error function. The linear regression coefficient is used as a statistical estimator of sample slope. We evaluate the error of the slope estimate and present two options for the adapting coefficient determination. To examine them, we generate the time error noisy signal with linear trend and estimate it with a simple MA, the optimally unbiased MA, and the two adapted filters. The particular errors of the filters, namely bias, RMSD, RMSE and maximal error are then compared. Finally we mark special features of the linear-regression-based adaptation.
Published in: Proceedings of the 33th Annual Precise Time and Time Interval Systems and Applications Meeting
November 27 - 27, 2001
Hyatt Regency Long Beach
Long Beach, California
Pages: 417 - 424
Cite this article: Shmaliy, Y., Marienko, A., Ibarra-Manzano, O., Rojas-Laguna, R., Fernandez-Cortes, J., "GPS-Based Adaptive Estimating of Time Errors for Clock Synchronization With a FIR Filter," Proceedings of the 33th Annual Precise Time and Time Interval Systems and Applications Meeting, Long Beach, California, November 2001, pp. 417-424.
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