Abstract
This paper aims to analyze the signal and noise characteristics of the GPS position time series of the permanent stations in China. We first extract the Common Mode Components (CMC) from the position series of regional GPS stations using principal component analysis and separate the GPS station position time series into CMC and the filtered series of each station. Then we detect the Unmodeled Common Signals (UCS) and Common Noises (CN) in CMC using power spectrum analysis, and analyze the noise characteristics of CN using a MINQUE (Minimum Norm Quadratic Unbiased Estimation) method of variance component estimation. We also detect periodic signals using power spectrum analysis and analyze different noise components using MINQUE method from the filtered series. Total 7-year GPS station position time series of the 24 permanent stations in China have been processed. The results show that the CMC accounts for 38.8 %, 39.1 % and 32.7 % from the total variances in north, east and up, respectively. CMC are dominated by CN. The dominant periods of UCS are about 792 days in north and up and about 594 days in east. In CN, the flicker noise is slightly larger than the white noise, and the random walk noise is very small. The periodic signals are all significant in the filtered series of all stations, especially the annual signals in up direction. Furthermore, the flicker noise of filtered series is also slightly larger than the white noise; however random walk noise is significantly large in most stations and even larger than white or flicker noise in few stations.
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References
Amiri-Simkooei A (2009) Noise in multivariate GPS position time-series. J Geod 83:175–187
Amiri-Simkooei A, Tiberius C, Teunissen P (2007) Assessment of noise in GPS coordinate time series: methodology and results. J Geophys Res 112, B07413. doi:10.1029/2006JB004913
Dong D, Fang P, Bock Y, Webb F, Prawirodirdjo L, Kedar S, Jamason P (2006) Spatiotemporal filtering using principal component analysis and Karhunen-Loeve expansion approaches for regional GPS network analysis. J Geophys Res 111:3405–3421
Huang Z (1983) Spectral analysis method and its application in hydrology meteorology. China Meteorological Press, Beijing (in Chinese)
Langbein J, Johnson H (1997) Correlated errors in geodetic time series: implications for time-dependent deformation. J Geophys Res 102(B1):591–603
Langbein J (2004) Noise in two-color electronic distance meter measurements revisited. J Geophys Res 109, B04406. doi:10.1029/2003JB002819
Li B, Shen Y, Lou L (2011) Efficient estimation of variance and covariance components: A case study for GPS stochastic model evaluation. IEEE Trans Geosci Remote Sens 49(1):203–210
Mao A, Harrision C, Dixon T (1999) Noise in GPS coordinate time series. J Geophys Res 104(B2):2797–2816
Marquez-Azua B, DeMets C (2003) Crustal velocity field of Mexico from continuous GPS measurements, 1993 to June 2001: implication for the neotectonics of Mexico. J Geophys Res 108(B9):2450. doi:10.1029/2002JB002241
Nikolaidis R (2002) Observation of geodetic and seismic deformation with the global positioning system. University of California, San Digeo
Rao C (1971) Estimation of variance and covariance components—MINQUE theory. J Multivar Anal 1:257–275
Wdowinski S, Bock Y, Zhang J, Fang P, Genrich J (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 102:18057–18070
Wdowinski S, Bock Y, Baser G, Prawirodirdjo L, Bechor N, Naaman S, Knafo R, Forrai Y, Melzer Y (2004) GPS measurements of current crustal movements along the Dead Sea Fault. J Geophys Res 109, B05403. doi:10.1029/2003JB002640
Williams SDP (2003) The effect of coloured noise on the uncertainties of rates estimated from geodetic time series. J Geod 76:483–494
Williams SDP, Bock Y, Fang P, Jamason P, Nikolaidis RM, Prawirodirdjo L, Miller M, Johnson DJ (2004) Error analysis of continuous GPS position time series. J Geophys Res 109, B03412. doi:10.1029/2003JB002741
Williams SDP, Willis P (2006) Error analysis of weekly station coordinates in the DORIS network. J Geod 80:525–539
Zhang J, Bock Y, Johnson H, Fang P, Williams S, Genrich J, Wdowinski S, Behr J (1997) Southern California Permanent GPS Geodetic Array: error analysis of daily position estimates and site velocities. J Geophys Res 102(B8):18035–18055
Acknowledgements
The work was major supported by the National Natural Science Funds of China (Grant No. 41074018) and National key Basic Research Program of China (973 Program, Projects:2012CB957703), and partially supported by the National Natural Science Funds of China (Grant No. 40874016) and Kwang-Hua Fund for College of Civil Engineering, Tongji University. Dr. Bofeng Li from Curtin University is appreciated for polishing English for the paper. The coordinate series data was download from CMONOC, which is accessible at http://www.igs.org.cn:8080/.
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Shen, Y., Li, W. (2014). Spatiotemporal Signal and Noise Analysis of GPS Position Time Series of the Permanent Stations in China. In: Rizos, C., Willis, P. (eds) Earth on the Edge: Science for a Sustainable Planet. International Association of Geodesy Symposia, vol 139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37222-3_30
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DOI: https://doi.org/10.1007/978-3-642-37222-3_30
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