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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337

Выпуски:
Том 52, 2020 Том 51, 2019 Том 50, 2018 Том 49, 2017 Том 48, 2016 Том 47, 2015 Том 46, 2014 Том 45, 2013 Том 44, 2012 Том 43, 2011 Том 42, 2010 Том 41, 2009 Том 40, 2008 Том 39, 2007 Том 38, 2006 Том 37, 2005 Том 36, 2004 Том 35, 2003 Том 34, 2002 Том 33, 2001 Том 32, 2000 Том 31, 1999 Том 30, 1998 Том 29, 1997 Том 28, 1996

Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v34.i2.70
13 pages

Closed-Form and Iterative Solutions to the Global Positioning System Problem

Nikolla Crocetto
The Second University of Naples, Italy
Marco Gatti
University Ferrara, Italy
Salvatore Ponte
The Second University of Naples, Italy

Краткое описание

The well-known nonlinear single-point global positioning system (GPS) based on positioning determination problem is approached in this paper via a closed-form algebraic solution and an iterative computational algorithm, working in the code (or range) domain. The four user unknowns (three coordinates and the user clock bias) of the GPS single-point code-range static positioning problem are evaluated by means of pseudorange measurements and a minimal number of satellites. The presented methodologies, not needing model linearization and computation of trial (initial) values of the unknowns, provide fast and reliable initialisation of commercial GPS firmware, typically based on linearized models. The procedures are validated by analysing numerical results on real GPS measurements. Good performance and rate of convergence with respect to other methodologies found in literature testify the cost-effectiveness of our approach.


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