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

Yuriy S. Shmaliy, A.V. Marienko, Oscar Gerardo Ibarra-Manzano, R. Rojas-Laguna, Fernandez-Cortes, J. · Defense Technical Information Center (DTIC) · 2001

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.

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