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

• Published in: IEEE transactions on ultrasonics, ferroelectrics, and frequency control Vol. 53; no. 5; pp. 862 - 870
• Main Author: Shmaliy, Y.S.
• 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: 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; Gaussian process; GPS system; Error estimation; Kalman filter; Crystals; Radiolocalisation; Finite impulse response filter; Clock; Rubidium; Modeling
• ISSN: 0885-3010; 1525-8955
• DOI: 10.1109/TUFFC.2006.1632677

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