Harmonic Analysis of Multipath Index Time Series in GPS Stations

Authors

  • Eniuce Menezes de Souza Maringá State University
  • Daniele Barroca Marra Alves São Paulo State University
  • Fernanda Lang Schumacher Maringá State University

DOI:

https://doi.org/10.5540/tema.2015.016.01.0071

Abstract

The identification of the cyclical and seasonal variations can be veryimportant in time series. In this paper, the aim is to identify the presence ofcyclical or seasonal variations in the indices of the multipath effect on continuousGPS (Global Positioning System) stations. Due to the model used to obtain theseindices, there should not have cyclical variations in these series, at least due to themultipath effect. In order to identify the presence of cyclical variations in theseseries, correlograms and Fourier periodograms were analyzed. The Fisher test forseasonality was applied to confirm the presence of statistical significant seasonality.In addition, harmonic models were adjusted to check in which months of the yearthe cyclical effects are occurring in the multipath indices. The possible causes ofthese effects are pointed out, which will direct the upcoming investigations, as wellas the analysis and correlations of other series. The importance of this analysisis mainly due to the fact that errors in the collected signals of these stations willdirectly influence the accuracy of the results of the whole community that directlyor indirectly uses GPS data.

Author Biographies

Eniuce Menezes de Souza, Maringá State University

Department of Statistics - UEM,  PhD Professor

Applied Mathematical and Computational Graduate Program, UNESP

 

Daniele Barroca Marra Alves, São Paulo State University

Cartography Department ,  PhD Professor

Applied Mathematical and Computational Graduate Program, UNESP

Fernanda Lang Schumacher, Maringá State University

Undergraduate Student of Statistics, UEM

References

C. CHATFIELD, The Analysis of Times Series: An Introduction. Chapman and Hall: London, 1995.

J.D. CRYER, K.S. CHAN, Time Series Analysis: With Applications in R, Springer Texts in Statistics, 2008.

L.H. ESTEY, C.M. MEERTENS, TEQC: The multi-purpose toolkit for GPS/GLONASS Data. GPS Solutions, v. 3, n. 1, p. 42-49, 1999.

P. A. MORETTIN, C. M. C. TOLOI, Análise de Séries Temporais. Edgar Blucher: São Paulo, 2004.

E. M. SOUZA, Análise de Wavelets para Detecção e Correção do Multicaminho no Posicionamento Relativo GNSS Estático e Cinemático, 2008. Tese (Doutorado em Ciências Cartográficas) - Universidade Estadual Paulista, Presidente

Prudente.

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Published

2015-05-29

How to Cite

Souza, E. M. de, Alves, D. B. M., & Schumacher, F. L. (2015). Harmonic Analysis of Multipath Index Time Series in GPS Stations. Trends in Computational and Applied Mathematics, 16(1), 71–78. https://doi.org/10.5540/tema.2015.016.01.0071

Issue

Vol. 16 No. 1 (2015)

Section

Original Article

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