Abstract n this paper, based on the excluding gross error, we get the space distribution of the continuous GPS sites ’s high frequency in the station coordinate system (NEU coordination system). Then, we use the fractal theory (the measure of relations) to calculate the fractal dimension and its scale-free zone. Finally, we calculate the correlation coefficient and F significant test method in the scale-free zone. The main results are as follows:
First, aside from the three consecutive points DXIN, QION and XIAA, where the residual series scale-free region between the correlation coefficients of 099-0.995, the other 24 units have reached a correlation coefficient of 0.995 or more. The 27 consecutive sites’ scale-free zone in the linear regression F-tests rejects the null hypothesis when all scale-free zone in double logarithmic coordinate system can be used least squares linear fit when α=0.005. This is consistent with GPS residual sequence fractal features, thus supporting these conclusions.Second, the percentage of points in the scale-free zone to total points is about 50%-60% at 24 consecutive sites and 40 at the three consecutive sites(BJFS, LUZH and XIAM). This indicates that about half the observations fall under the laws of the fractal nature. Consequently, the noise residual series or sequence (constructed time series and noise models) can play a guiding role.
Third, 27 GPS sites fit the fractal characteristics very well in its scale-free zone (the fractal dimension is not the integer), with a fractal dimension range between 1.71 and 1.97. This indicates that GPS part of the residual sequence is contained under the laws of the fractal nature of the observations and should not generally be considered as noise, as supported by our more sophisticated understanding and analysis of GPS observations
YAN Wei,NIU Anfu. The Fractal Characters of the Low Frequency Residual’s Space
Distribution of Continuously Monitoring GPS Sites[J]. jgg, 2015, 35(3): 401-405.
YAN Wei,NIU Anfu. The Fractal Characters of the Low Frequency Residual’s Space
Distribution of Continuously Monitoring GPS Sites[J]. jgg, 2015, 35(3): 401-405.
