An unbiased FIR filter for TIE model of a local clock in applications to GPS-based timekeeping
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...
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| Published in | IEEE transactions on ultrasonics, ferroelectrics, and frequency control Vol. 53; no. 5; pp. 862 - 870 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
New York, NY
IEEE
01.05.2006
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0885-3010 1525-8955 |
| DOI | 10.1109/TUFFC.2006.1632677 |
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| 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 |
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| AbstractList | 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. 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.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. 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 |
| Author | Shmaliy, Y.S. |
| Author_xml | – sequence: 1 givenname: Y.S. surname: Shmaliy fullname: Shmaliy, Y.S. organization: Guanajuato Univ., Salamanca |
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| Cites_doi | 10.1016/S0005-1098(01)00242-4 10.1109/29.1600 10.1109/TUFFC.2002.1009337 10.6028/jres.088.001 10.1109/FREQ.1982.200599 10.1016/S0895-7177(99)00034-5 10.1109/FREQ.1988.27638 10.1109/TUFFC.2003.1209545 10.1088/0026-1394/40/3/312 10.1109/19.278607 10.1109/T-UFFC.1987.26998 10.1016/0005-1098(89)90027-7 10.1109/9.788554 10.1109/58.753028 10.1109/TAC.1975.1100882 |
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| Keywords | Gaussian process GPS system Error estimation Kalman filter Crystals Radiolocalisation Finite impulse response filter Clock Rubidium Modeling |
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| Snippet | 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... 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... |
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| SubjectTerms | 1f noise Acoustics Algorithms Clocks Estimates Exact sciences and technology Finite impulse response filter Frequency Fundamental areas of phenomenology (including applications) General equipment and techniques Geographic information systems Global Positioning System Impulse response Instruments, apparatus, components and techniques common to several branches of physics and astronomy Noise Noise measurement Physics Polynomials Satellite navigation systems Time measurement Timing Transducers Ultrasonics, quantum acoustics, and physical effects of sound Working environment noise |
| Title | An unbiased FIR filter for TIE model of a local clock in applications to GPS-based timekeeping |
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