About: Nonlinear analysis of position estimate in global navigation satellite systems

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Nonlinear analysis of position estimate in global navigation satellite systems Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1088/1742-6596/570/1/012005
Description	The paper presents a nonlinear analysis of position estimation based on a global navigation satellite system. A classical problem formulation and iterative solution that results in the weighted least squares estimate of the receiver state are assumed. The analysis employs the Taylor's theorem to express the nonlinear measurement model using the second order Taylor polynomial at the state estimate and the Lagrange form of the remainder. A sensitivity analysis of the Jacobian matrix pseudoinverse is performed, and an upper bound on the size of the quadratic term is derived using eigenstructure of the Hessian matrix. The results obtained show that both the sensitivity of the pseudoinverse and the size of the quadratic term are not significant, and thus the linear approximation commonly used to derive stochastic properties of the state estimate is reasonable. Although this result has been experimentally confirmed by numerous successful applications, this analysis can serve as a more rigorous basis when the design procedures for safety critical system have to be satisfied. The paper presents a nonlinear analysis of position estimation based on a global navigation satellite system. A classical problem formulation and iterative solution that results in the weighted least squares estimate of the receiver state are assumed. The analysis employs the Taylor's theorem to express the nonlinear measurement model using the second order Taylor polynomial at the state estimate and the Lagrange form of the remainder. A sensitivity analysis of the Jacobian matrix pseudoinverse is performed, and an upper bound on the size of the quadratic term is derived using eigenstructure of the Hessian matrix. The results obtained show that both the sensitivity of the pseudoinverse and the size of the quadratic term are not significant, and thus the linear approximation commonly used to derive stochastic properties of the state estimate is reasonable. Although this result has been experimentally confirmed by numerous successful applications, this analysis can serve as a more rigorous basis when the design procedures for safety critical system have to be satisfied. (en)
Title	Nonlinear analysis of position estimate in global navigation satellite systems Nonlinear analysis of position estimate in global navigation satellite systems (en)
skos:prefLabel	Nonlinear analysis of position estimate in global navigation satellite systems Nonlinear analysis of position estimate in global navigation satellite systems (en)
skos:notation	RIV/49777513:23520/14:43923269!RIV15-TA0-23520___
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(TE02000202), S
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Punčochář, Ivo Šimandl, Miroslav Král, Ladislav Škach, Jan
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Západočeská univerzita v Plzni / Fakulta aplikovaných věd
http://linked.open...dnocenehoVysledku	32782
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/14:43923269
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Navigation; Nonlinear analysis; GPS (en)
http://linked.open.../riv/klicoveSlovo	Nonlinear analysis Navigation GPS
http://linked.open...ontrolniKodProRIV	[F767090DB54B]
http://linked.open...v/mistoKonaniAkce	Berlin, Germany
http://linked.open...i/riv/mistoVydani	Bristol
http://linked.open...i/riv/nazevZdroje	Journal of Physics: Conference Series
http://linked.open...in/vavai/riv/obor	BC
http://linked.open...ichTvurcuVysledku	4 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Pokročilé senzory a metody zpracování senzorových dat
http://linked.open...UplatneniVysledku	2014
http://linked.open...iv/tvurceVysledku	Punčochář, Ivo Šimandl, Miroslav Král, Ladislav Škach, Jan
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2014-11-13 (xsd:date)
issn	1742-6588
number of pages	12 (xsd:int)
http://bibframe.org/vocab/doi	10.1088/1742-6596/570/1/012005
http://purl.org/ne...btex#hasPublisher	IOP Publishing
http://localhost/t...ganizacniJednotka	23520

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 44 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software