Discrete p-lag FIR smoothing of polynomial state-space models with applications to clock errors

Authors:
Luis Morales-Mendoza;Oscar Ibarra-Manzano;Yuriy S. Shmaliy
Affiliations:
Veracruz University, Electronics Department, Veracruz, Mexico;Guanajuato University, Department of Electronics, DICIS, Salamanca, Mexico;Guanajuato University, Department of Electronics, DICIS, Salamanca, Mexico
Venue:
NEHIPISIC'11 Proceeding of 10th WSEAS international conference on electronics, hardware, wireless and optical communications, and 10th WSEAS international conference on signal processing, robotics and automation, and 3rd WSEAS international conference on nanotechnology, and 2nd WSEAS international conference on Plasma-fusion-nuclear physics
Year:
2011

Citing 5
Cited 0

Topics in matrix analysis

Topics in matrix analysis
Discrete-time signal processing (2nd ed.)

Discrete-time signal processing (2nd ed.)
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Fir smoothing of discrete-time polynomial signals in state space

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Linear optimal FIR estimation of discrete time-invariant state-space models

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Abstract

A smoothing finite impulse response (FIR) filter is addressed for discrete time-invariant state-space polynomial models commonly used to represent signals over finite data. A general gain is derived for the relevant p-lag unbiased smoothing FIR filter. Applications are given for the time interval errors of a local crystal clock and the United States Naval Observatory Master Clock. An excellent performance of the best linear unbiased fit is demonstrated along with its ability to extrapolate linearly the future clock behaviors, as required by the IEEE Standards, that can be used for holdover in digital communications networks.