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Permanent GPS Networks in Italy: Analysis of Time Series Noise

  • Conference paper
VIII Hotine-Marussi Symposium on Mathematical Geodesy

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 142))

Abstract

Over the last few years numerous GPS networks in Italy have been installed and managed, mainly by local authorities and institutions. Therefore the GPS stations have been constructed with a variety of different monument types according to their needs and have been operated in fairly different environmental conditions, such as in towns or industrial regions, in the open country or mountainous regions. In this work we aim to assess the reliability and repeatability of the station positions and to study the noise property of different categories of GPS monument types. We analyze over 500 continuous GPS time series in Italy with a mean temporal length of 5.6 years. All the GPS observations were processed with the Bernese v5.0 software using a loose constraints approach. We include 45 sites in central Europe that are used as fiducial stations in the regional reference frame realization. After fitting a linear drift, offsets and annual sinusoids and after filtering a common mode movement of the whole network, the residual GPS time series represents the noise of each GPS station. We analyze the residuals using different power spectrum estimation schemes and estimate a power law noise model for each time series. The average noise characteristics are compatible with outcomes from earlier studies but we were not able to isolate distinct noise behaviors between different GPS monument types nor to ascertain a preferred monumentation, as far as noise amplitude and spectral indexes are concerned.

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References

  • Avallone A et al (2010) The RING network: improvement of a GPS velocity field in the central Mediterranean. Ann Geophys 53(2):39–54. doi:10.4401/ag-4549

    Google Scholar 

  • Beavan J (2005) Noise properties of continuous GPS data from concrete pillar geodetic monuments in New Zealand and comparison with data from U.S. deep drilled braced monuments. J Geophys Res 110, B08410. doi:10.1029/2005JB003642

    Article  Google Scholar 

  • Beutler G et al (2007) Bernese GPS software version 5.0. In: Dach R, Hugentobler U, Fridez P, Meindl M (eds) Astronomical Institute, University of Bern, Bern

    Google Scholar 

  • Bos MS, Fernandes RMS, Williams SDP (2013) Fast error analysis of continuous GNSS observations with missing data. J Geod 87:351–360. doi:10.1007/s00190-012-0605-0

    Article  Google Scholar 

  • Devoti R, Pietrantonio G, Pisani AR, Riguzzi F, Serpelloni E (2010) Present day kinematics of Italy. In: Beltrando M, Peccerillo A, Mattei M, Conticelli S, Doglioni C (eds) J Virtual Explor 36(2). doi:10.3809/jvirtex.2009.00237

  • Johnson H, Agnew DC (2000) Correlated noise in geodetic timeseries. U.S. Geological Survey Final Technical Report, FTR-1434-HQ-97-GR-03155

    Google Scholar 

  • King MA, Watson CS (2010) Long GPS coordinate time series: multipath and geometry effects. J Geophys Res 115, B04403. doi:10.1029/2009JB006543

    Article  Google Scholar 

  • King MA, Williams SDP (2009) Apparent stability of GPS monumentation from short-baseline time series. J Geophys Res 114, B10403. doi:10.1029/2009JB006319

    Article  Google Scholar 

  • Lagarias JC, Reeds JA, Wright MH, Wright PE (1998) Convergence properties of the Nelder-Mead simplex method in low dimensions. SIAM J Optim 9(1):112–147

    Article  Google Scholar 

  • Langbein J (2004) Noise in two-color electronic distance meter measurements revisited. J Geophys Res 109, B04406. doi:10.1029/2003JB002819

    Article  Google Scholar 

  • Langbein J (2008) Noise in GPS displacement measurements from Southern California and Southern Nevada. J Geophys Res 113, B05405. doi:10.1029/2007JB005247

    Article  Google Scholar 

  • Langbein J (2012) Estimating rate uncertainty with maximum likelihood: differences between power-law and flicker–random-walk models. J Geod 86:775–783. doi:10.1007/s00190-012-0556-5

    Article  Google Scholar 

  • Langbein J, Johnson H (1997) Correlated errors in geodetic time series: implications for time-dependent deformation. J Geophys Res 102:591–603

    Article  Google Scholar 

  • Lomb NR (1976) Least-squares frequency analysis of unequally spaced data. Astrophys Space Sci 39:447–462

    Article  Google Scholar 

  • Mao A, Harrison CGA, Dixon TH (1999) Noise in GPS coordinate time series. J Geophys Res 104:2797–2816

    Article  Google Scholar 

  • Santamaria-Gómez A et al (2011) Correlated errors in GPS position time series:implications for velocity estimates. J Geophys Res 116, B01405. doi:10.1029/2010JB007701

    Article  Google Scholar 

  • Scargle JD (1982) Studies in astronomical time series analysis. II — statistical aspects of spectral analysis of unevenly spaced data. Astrophys J 263:835–853. doi:10.1086/160554

    Article  Google Scholar 

  • Wdowinski S et al (1997) Southern California permanent GPS geodetic array: spatial filtering of daily positions for estimating coseismic and postseismic displacements induced by the 1992 Landers earthquake. J Geophys Res 102(B8):18057–18070

    Article  Google Scholar 

  • Welch PD (1967) The use of fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Trans Audio Electroacoust AU-15:70–73

    Article  Google Scholar 

  • Williams SDP et al (2004) Error analysis of continous GPS time series. J Geophys Res 109, B03412. doi:10.1029/2003JB002741

    Google Scholar 

  • Wyatt F (1982) Displacement of surface monuments - horizontal motion. J Geophys Res 87:979–989. doi:10.1029/JB087iB02p00979

    Article  Google Scholar 

  • Wyatt FK (1989) Displacement of surface monuments - vertical motion. J Geophys Res 94:1655–1664. doi:10.1029/JB094iB02p01655

    Article  Google Scholar 

  • Zhang J et al (1997) Southern California permanent GPS geodetic array: error analysis of daily position estimates and site velocities. J Geophys Res 102(B8):18035–18055. doi:10.1029/97JB01380

    Article  Google Scholar 

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Devoti, R., Pietrantonio, G., Pisani, A.R., Riguzzi, F. (2015). Permanent GPS Networks in Italy: Analysis of Time Series Noise. In: Sneeuw, N., Novák, P., Crespi, M., Sansò, F. (eds) VIII Hotine-Marussi Symposium on Mathematical Geodesy. International Association of Geodesy Symposia, vol 142. Springer, Cham. https://doi.org/10.1007/1345_2015_11

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