Harmonic Analysis of Multipath Index Time Series in GPS Stations†

Detalhes bibliográficos
Autor(a) principal: Souza, E.m.
Data de Publicação: 2015
Outros Autores: Alves, D.b.m., Schumacher, F.l.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.5540/tema.2015.016.01.0071
http://hdl.handle.net/11449/212446
Resumo: The identification of the cyclical and seasonal variations can be very important in time series. In this paper, the aim is to identify the presence of cyclical or seasonal variations in the indices of the multipath effect on continuous GPS(Global Positioning System) stations. Due to the model used to obtain these indices, there should not have cyclical variations in these series, at least due to the multipath effect. In order to identify the presence of cyclical variations in these series, correlograms and Fourier periodograms were analyzed. The Fisher test for seasonality was applied to confirm the presence of statistical significant seasonality. In addition, harmonic models were adjusted to check in which months of the year the cyclical effects are occurring in the multipath indices. The possible causes of these effects are pointed out, which will direct the upcoming investigations, as well as the analysis and correlations of other series. The importance of this analysis is mainly due to the fact that errors in the collected signals of these stations will directly influence the accuracy of the results of the whole community that directly or indirectly uses GPS data.
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spelling Harmonic Analysis of Multipath Index Time Series in GPS Stations†harmonic analysismultipath indextime seriesanálise harmônicaíndice de multicaminhoséries temporaisThe identification of the cyclical and seasonal variations can be very important in time series. In this paper, the aim is to identify the presence of cyclical or seasonal variations in the indices of the multipath effect on continuous GPS(Global Positioning System) stations. Due to the model used to obtain these indices, there should not have cyclical variations in these series, at least due to the multipath effect. In order to identify the presence of cyclical variations in these series, correlograms and Fourier periodograms were analyzed. The Fisher test for seasonality was applied to confirm the presence of statistical significant seasonality. In addition, harmonic models were adjusted to check in which months of the year the cyclical effects are occurring in the multipath indices. The possible causes of these effects are pointed out, which will direct the upcoming investigations, as well as the analysis and correlations of other series. The importance of this analysis is mainly due to the fact that errors in the collected signals of these stations will directly influence the accuracy of the results of the whole community that directly or indirectly uses GPS data.A identificação de variações cíclicas e sazonais é muito importante em séries temporais. Neste artigo, objetiva-se identificar a presença de variações cíclicas e sazonais nos índices do efeito do multicaminho em estações GPS (GlobalPositioning System) de monitoramento contínuo. Devido ao modelo usado na obtenção de tais series, não deveriam existir variações cíclicas nas mesmas, pelo menos devido ao multicaminho. No sentido de identificar a presença de variações cíclicas nestas séries, foram analisados correlogramas e periodogramas de Fourier. Para confirmar a presença de sazonalidade estatisticamente significativa, foi utilizado o teste de Fisher para sazonalidade. Além disso, modelos harmônicos foram ajustados para verificar em que meses do ano os picos dos efeitos cíclicos estão ocorrendo. As possíveis causas dos efeitos são apontadas, as quais direcionarão investigações futuras, bem como a análise e correlações com outras séries. A importância desta análise se deve principalmente ao fato de que erros nos sinais coletados afetarão a acurácia dos resultados de toda a comunidade que usam dados GPS diretamente ou indiretamente.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Maringá State University, Department of StatisticsSão Paulo University, Cartography DepartmentMaringá State UniversityCNPq: 473973/2012-0CNPq: 303079/2011-8FAPESP: 2012/19906-7Sociedade Brasileira de Matemática Aplicada e ComputacionalMaringá State UniversitySão Paulo UniversitySouza, E.m.Alves, D.b.m.Schumacher, F.l.2021-07-14T10:40:09Z2021-07-14T10:40:09Z2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article71-78application/pdfhttp://dx.doi.org/10.5540/tema.2015.016.01.0071TEMA (São Carlos). Sociedade Brasileira de Matemática Aplicada e Computacional, v. 16, n. 1, p. 71-78, 2015.1677-19662179-8451http://hdl.handle.net/11449/21244610.5540/tema.2015.016.01.0071S2179-84512015000100071S2179-84512015000100071.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengTEMA (São Carlos)info:eu-repo/semantics/openAccess2023-12-27T06:22:22Zoai:repositorio.unesp.br:11449/212446Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-27T06:22:22Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Harmonic Analysis of Multipath Index Time Series in GPS Stations†
title Harmonic Analysis of Multipath Index Time Series in GPS Stations†
spellingShingle Harmonic Analysis of Multipath Index Time Series in GPS Stations†
Souza, E.m.
harmonic analysis
multipath index
time series
análise harmônica
índice de multicaminho
séries temporais
title_short Harmonic Analysis of Multipath Index Time Series in GPS Stations†
title_full Harmonic Analysis of Multipath Index Time Series in GPS Stations†
title_fullStr Harmonic Analysis of Multipath Index Time Series in GPS Stations†
title_full_unstemmed Harmonic Analysis of Multipath Index Time Series in GPS Stations†
title_sort Harmonic Analysis of Multipath Index Time Series in GPS Stations†
author Souza, E.m.
author_facet Souza, E.m.
Alves, D.b.m.
Schumacher, F.l.
author_role author
author2 Alves, D.b.m.
Schumacher, F.l.
author2_role author
author
dc.contributor.none.fl_str_mv Maringá State University
São Paulo University
dc.contributor.author.fl_str_mv Souza, E.m.
Alves, D.b.m.
Schumacher, F.l.
dc.subject.por.fl_str_mv harmonic analysis
multipath index
time series
análise harmônica
índice de multicaminho
séries temporais
topic harmonic analysis
multipath index
time series
análise harmônica
índice de multicaminho
séries temporais
description The identification of the cyclical and seasonal variations can be very important in time series. In this paper, the aim is to identify the presence of cyclical or seasonal variations in the indices of the multipath effect on continuous GPS(Global Positioning System) stations. Due to the model used to obtain these indices, there should not have cyclical variations in these series, at least due to the multipath effect. In order to identify the presence of cyclical variations in these series, correlograms and Fourier periodograms were analyzed. The Fisher test for seasonality was applied to confirm the presence of statistical significant seasonality. In addition, harmonic models were adjusted to check in which months of the year the cyclical effects are occurring in the multipath indices. The possible causes of these effects are pointed out, which will direct the upcoming investigations, as well as the analysis and correlations of other series. The importance of this analysis is mainly due to the fact that errors in the collected signals of these stations will directly influence the accuracy of the results of the whole community that directly or indirectly uses GPS data.
publishDate 2015
dc.date.none.fl_str_mv 2015
2021-07-14T10:40:09Z
2021-07-14T10:40:09Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.5540/tema.2015.016.01.0071
TEMA (São Carlos). Sociedade Brasileira de Matemática Aplicada e Computacional, v. 16, n. 1, p. 71-78, 2015.
1677-1966
2179-8451
http://hdl.handle.net/11449/212446
10.5540/tema.2015.016.01.0071
S2179-84512015000100071
S2179-84512015000100071.pdf
url http://dx.doi.org/10.5540/tema.2015.016.01.0071
http://hdl.handle.net/11449/212446
identifier_str_mv TEMA (São Carlos). Sociedade Brasileira de Matemática Aplicada e Computacional, v. 16, n. 1, p. 71-78, 2015.
1677-1966
2179-8451
10.5540/tema.2015.016.01.0071
S2179-84512015000100071
S2179-84512015000100071.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv TEMA (São Carlos)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 71-78
application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv SciELO
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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