An unbiased FIR filter for TIE model of a local clock in applications to GPS-based timekeeping

Author

Shmaliy, Yuriy S.

Author_Institution

Guanajuato Univ., Salamanca

Volume

53

Issue

5

fYear

2006

fDate

5/1/2006 12:00:00 AM

Firstpage

862

Lastpage

870

Abstract

An unbiased finite impulse response (FIR) filter is proposed to estimate the time-interval error (TIE) K-degree polynomial model of a local clock in Global Positioning System (GPS)-based timekeeping in the presence of noise that is not obligatory Gaussian. Generic coefficients for the unbiased FIRs are derived. The low-degree FIRs and noise power gains are given. An estimation algorithm is proposed and examined for the TIE measurements of a crystal clock in the presence of the uniformly distributed sawtooth noise induced by the multichannel GPS timing receiver. Based upon this algorithm, we show that the unbiased FIR estimates are consistent with the reference (rubidium) measurements and fit them better than the standard Kalman filter

Keywords

FIR filters; Global Positioning System; Kalman filters; polynomials; GPS-based timekeeping; Global Positioning System; K-degree polynomial model; Kalman filter; TIE model; finite impulse response; local clock; sawtooth noise; time-interval error; unbiased FIR filter; 1f noise; Clocks; Finite impulse response filter; Frequency; Global Positioning System; Noise measurement; Polynomials; Time measurement; Timing; Working environment noise;

fLanguage

English

Journal_Title

Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on

Publisher

ieee

ISSN

0885-3010

Type

jour

DOI

10.1109/TUFFC.2006.1632677

Filename

1632677