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Congruence of two Kalman Filter Composite Clock

Suess, Matthias and Greenhall, Charles (2013) Congruence of two Kalman Filter Composite Clock. Metrologia. Institute of Physics (IOP) Publishing. ISSN 0026-1394

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Official URL: http://iopscience.iop.org

Abstract

This paper compares the corrected clock offsets of two composite clock algorithms based on Kalman filtering of measured clock differences: the original Jones-Tryon algorithm and Greenhall’s covariance-reduction modification. The theory is carried out for a general clock model that includes the model introduced by Davis et al: the sum of the the 3-state linear model and a set of Markov processes used to approximate flicker-frequency noise. Since measurement noise is allowed, the corrected clock offsets at each measurement time do not coincide but form a set of values, different for the two algorithms. The main result is that the two sets are congruent at each time and that their common difference, as a function of time, is a random walk. The congruency holds for time-varying measurement matrices. Therefore, the result is applicable to the measurement setup of laboratories as well as that of a Global Navigation Satellite System (GNSS) with varying visibilities of satellite clocks at ground stations. These results are illustrated by a simulated ensemble of three caesium clocks and two hydrogen masers measured against one of the hydrogen masers.

Item URL in elib:https://elib.dlr.de/83064/
Document Type:Article
Title:Congruence of two Kalman Filter Composite Clock
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Suess, Matthiasmatthias.suess (at) dlr.deUNSPECIFIED
Greenhall, Charlescgreenhall (at) onemain.comUNSPECIFIED
Date:2013
Journal or Publication Title:Metrologia
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Publisher:Institute of Physics (IOP) Publishing
ISSN:0026-1394
Status:Published
Keywords:composite clock, kalman filter, congruence, atomic clock, covariance reduction
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Communication and Navigation
DLR - Research area:Raumfahrt
DLR - Program:R KN - Kommunikation und Navigation
DLR - Research theme (Project):R - Projekt GalileoNAV (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation > Navigation
Deposited By: Süß, Matthias
Deposited On:25 Sep 2013 11:09
Last Modified:06 Sep 2019 15:20

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