A new method is proposed for detecting and repairing cycle slips in GPS navigation based on the dual frequency observations. It can be implemented through the following three steps: (1) The integer ambiguities of the ...A new method is proposed for detecting and repairing cycle slips in GPS navigation based on the dual frequency observations. It can be implemented through the following three steps: (1) The integer ambiguities of the current epoch are substituted by that of the previous epoch, so the ambiguity parameters are removed from the observation equations. (2) The abnormal observations are detected using the quasi accurate detection (QUAD) method and the satellite pairs of these abnormal observations are determined. Then the coefficient matrix of these satellite pairs is recovered. (3) The cycle slips of these satellite pairs are calculated using the LAMBDA method and integer ambiguities of the current epoch can be determined by adding the cycle slips into the integer ambiguities of the previous epoch. The key of this method is that the abnormal observations must accurately he detected, i.e. , the satellites having cycle slips must correctly be judged. Finally, compared with other methods the feasibility of the method is verified.展开更多
The process for dividing the different deformation trend blocks with displacement observations includes three steps. They are datum detection, block scope told part and anomalous deformations detection in blocks. The ...The process for dividing the different deformation trend blocks with displacement observations includes three steps. They are datum detection, block scope told part and anomalous deformations detection in blocks. The three steps are implemented by Quasi-Accurate Detection(QUAD) in the paper. In the previous two steps, the prelimi-nary selection for Quasi-Accurate Observations (QAOs) is key. The preliminary selection is according to the size of deformation displacement for datum detection and according to the direction of deformation for block scope told part. At last through an example, each implementation process is introduced simply and the detection effect of QUAD is compared with that of the robust estimation (Huber) and the statistic test. The result indicates that the three steps can be implemented successfully with QUAD and that the anomalous deformations in blocks can be detected, but the steps of the datum detection and block scope told part are failed by robust estimation. The detec-tions of three steps are failure by the statistic test. The results show that the QUAD has the virtues that the location of gross errors is much accurate and the breakdown point is higher than the other two methods.展开更多
On the basis of the reality of recent tectonic movement and discarding such a viewpoint that the isostatic adjust-ment only results from excessive or insufficient compensation, we have discussed the tectonic stress ca...On the basis of the reality of recent tectonic movement and discarding such a viewpoint that the isostatic adjust-ment only results from excessive or insufficient compensation, we have discussed the tectonic stress causing ine-quality and regarded the isostatic anomaly as a load on the earths interior, thus the earths inner stress can be cal-culated. The research results show that in the East China Sea and its eastern marginal seas the change of the verti-cal stress derived from the isostatic gravity anomaly is more marked than that of the horizontal stress. Along the Ryukyu trench there is an enhancement of vertical stress by 5 MPa, which evidently reflects the effect of plate subduction. On contrary, along the island arc to the northwest of the trench the vertical stress weakens by about 5 MPa. The horizontal stresses in eastern and western parts are obviously different, the east westward stress on the oceanic crust sx is negative (while the pressure is positive) but on the continental crust is positive. These facts indicate the effect of compression between plates.展开更多
This paper discusses the regularization solution of ill posed equation with the help of its spectral decomposition formula. It shows that regularization can filter the influence of the high frequency errors which are ...This paper discusses the regularization solution of ill posed equation with the help of its spectral decomposition formula. It shows that regularization can filter the influence of the high frequency errors which are very sensitive to the parameters to be estimated, and gives a complete derivation of the spectral decomposition formulae of least squares adjustment, rank deficient adjustment and the regularization solution of ill posed equation. It also shows the equivalence between the trace of the mean squares error and the expectation of the secondnorm of estimated parameter’s total error.展开更多
A new approach is employed in GPS rapid positioning using several-epoch single frequency phase data.Firstly, the structure characteristic of the normal matrix in GPS rapid positioning is analyzed. Then, in the light o...A new approach is employed in GPS rapid positioning using several-epoch single frequency phase data.Firstly, the structure characteristic of the normal matrix in GPS rapid positioning is analyzed. Then, in the light of the characteristic, based on TIKHONOV regularization theorem,a new regularizer is designed to mitigate the ill-condition of the normal matrix. The accurate float ambiguity solutions and their MSEM (Mean Squared Error Matrix) are obtained using several-epoch single frequency phase data. Combined with LAMBDA method, the new approach was used to fix the integer ambiguities correctly and quickly using MSEM instead of the cofactor matrix of the ambiguities. Finally, a baseline over 3 km is taken as an example. The fixed integer ambiguities by the new approach using five epoch single frequency phase data are the same as those fixed by Bernese software using long time data. The success rate of fixing the integer ambiguities is 100 percent using 197 group data.Compared with the traditional methods, the new approach provides better accuracy and efficiency in GPS rapid positioning. So, the new approach has an extensive application outlook in deformation monitoring, pseudokinematic relative positioning, and attitude determination, etc.展开更多
A kind of uniform reliability index suitable for the code and phase observations is presented and used in reliability evaluation of satellite systems. Then, based on 25 stations of Crustal Movement Observation Network...A kind of uniform reliability index suitable for the code and phase observations is presented and used in reliability evaluation of satellite systems. Then, based on 25 stations of Crustal Movement Observation Network of China, satellite visibility, positioning availability and observationreliability of GPS, GALILEO and integrated GPS- GALILEO are calculated and analyzed in detail. Simulation results reveal that the satellite visibility of GALILEO is superior to that of GPS. Given positioning accuracy, horizontal positioning availability of GALILEO is consistent with that of GPS, but its vertical positioning availability is superior to that of GPS. However, the integrated GPS-GALILEO is shown to be superior to each of the single systems in the aspects of positioning accuracy and availability. The reliability of code and phase observationsbased on GALILEO and integrated GPS-GALILEO system is superior to that of GPS both in spatial and temporal domains on the whole. The new reliability index presented is simple to calculate and reflects reliability differences ofdifferent satellite systems.展开更多
Based on the 21 series of the high precision tidal gravity observations recorded using superconducting gravimeters (SG) at 14 stations distributed globally (in to-tally about 86 years), the translational oscillations ...Based on the 21 series of the high precision tidal gravity observations recorded using superconducting gravimeters (SG) at 14 stations distributed globally (in to-tally about 86 years), the translational oscillations of the Earth抯 solid inner core (ESIC) is detected in this paper. All observations are divided into two groups with G-Ⅰ group (8 relatively longer observational series) and G-Ⅱ group (13 relatively shorter observational series). The detailed correc-tions to minute original observations for each station are carried out, the error data due to the earthquakes, power supply impulses and some perturbations as change in at-mospheric pressure and so on are carefully deleted for the first step, the gravity residuals are obtained after removing further synthetic tidal gravity signals. The Fast Fourier Transform analysis is carried out for each residual series, the estimations of the product spectral densities in the sub-tidal band are obtained by using a multi-station staking technique. The 8 common peaks are found after further removing the remaining frequency dependent pressure signals. The eigen-periods, quality factors and resonant strengths for these peaks are simulated. The numerical results show that the discrepancies of the eigenperiods for 3 of 8 peaks, compared to those of theoretical computation given by Smith, are only 0.4%, -0.4% and 1.0%. This coincidence signifies that the dynamical phenomenon of the Earths solid inner core can be detected by using high precision ground gravity observations. The reliability of the numerical computation is also checked, the spectral peak splitting phenomenon induced by Earths rotation and ellipticity is preliminary discussed in this paper.展开更多
Based on the 28 series of the high precision and high minute sampling tidal gravity observations at 20 stations in Global Geodynamics Project (GGP) network, the resonant parameters of the Earth's nearly diurnal fr...Based on the 28 series of the high precision and high minute sampling tidal gravity observations at 20 stations in Global Geodynamics Project (GGP) network, the resonant parameters of the Earth's nearly diurnal free wobble (including the eigenperiods, resonant strengths and quality factots) are precisely determined. The discrepancy of the eigenperiod between observed and theoretical values is studied, the important conclusion that the real dynamic ellipticity of the liquid core is about 5% larger than the one under the static equilibrium assumption is approved by using our gravity technique. The experimental Earth's tidal gravity models with considering the nearly diurnal free wobble of the Earth's liquid core are constructed in this study. The numerical results show that the difference among three experimental models is less than 0.1%, and the largest discrepancy compared to those widely used nowdays given by Dehant (1999) and Mathews (2001) is only about 0.4%. It can provide with the most recent real experimental tidal gravity models for the global study of the Earth's tides, geodesy and space techniques and so on.展开更多
文摘A new method is proposed for detecting and repairing cycle slips in GPS navigation based on the dual frequency observations. It can be implemented through the following three steps: (1) The integer ambiguities of the current epoch are substituted by that of the previous epoch, so the ambiguity parameters are removed from the observation equations. (2) The abnormal observations are detected using the quasi accurate detection (QUAD) method and the satellite pairs of these abnormal observations are determined. Then the coefficient matrix of these satellite pairs is recovered. (3) The cycle slips of these satellite pairs are calculated using the LAMBDA method and integer ambiguities of the current epoch can be determined by adding the cycle slips into the integer ambiguities of the previous epoch. The key of this method is that the abnormal observations must accurately he detected, i.e. , the satellites having cycle slips must correctly be judged. Finally, compared with other methods the feasibility of the method is verified.
基金State Natural Science Foundation of China (No. 40074003) and Project of Chinese Academy of Sciences (No. KZCX2-106).
文摘The process for dividing the different deformation trend blocks with displacement observations includes three steps. They are datum detection, block scope told part and anomalous deformations detection in blocks. The three steps are implemented by Quasi-Accurate Detection(QUAD) in the paper. In the previous two steps, the prelimi-nary selection for Quasi-Accurate Observations (QAOs) is key. The preliminary selection is according to the size of deformation displacement for datum detection and according to the direction of deformation for block scope told part. At last through an example, each implementation process is introduced simply and the detection effect of QUAD is compared with that of the robust estimation (Huber) and the statistic test. The result indicates that the three steps can be implemented successfully with QUAD and that the anomalous deformations in blocks can be detected, but the steps of the datum detection and block scope told part are failed by robust estimation. The detec-tions of three steps are failure by the statistic test. The results show that the QUAD has the virtues that the location of gross errors is much accurate and the breakdown point is higher than the other two methods.
基金State Natural Science Foundation of China (49874016).
文摘On the basis of the reality of recent tectonic movement and discarding such a viewpoint that the isostatic adjust-ment only results from excessive or insufficient compensation, we have discussed the tectonic stress causing ine-quality and regarded the isostatic anomaly as a load on the earths interior, thus the earths inner stress can be cal-culated. The research results show that in the East China Sea and its eastern marginal seas the change of the verti-cal stress derived from the isostatic gravity anomaly is more marked than that of the horizontal stress. Along the Ryukyu trench there is an enhancement of vertical stress by 5 MPa, which evidently reflects the effect of plate subduction. On contrary, along the island arc to the northwest of the trench the vertical stress weakens by about 5 MPa. The horizontal stresses in eastern and western parts are obviously different, the east westward stress on the oceanic crust sx is negative (while the pressure is positive) but on the continental crust is positive. These facts indicate the effect of compression between plates.
文摘This paper discusses the regularization solution of ill posed equation with the help of its spectral decomposition formula. It shows that regularization can filter the influence of the high frequency errors which are very sensitive to the parameters to be estimated, and gives a complete derivation of the spectral decomposition formulae of least squares adjustment, rank deficient adjustment and the regularization solution of ill posed equation. It also shows the equivalence between the trace of the mean squares error and the expectation of the secondnorm of estimated parameter’s total error.
文摘A new approach is employed in GPS rapid positioning using several-epoch single frequency phase data.Firstly, the structure characteristic of the normal matrix in GPS rapid positioning is analyzed. Then, in the light of the characteristic, based on TIKHONOV regularization theorem,a new regularizer is designed to mitigate the ill-condition of the normal matrix. The accurate float ambiguity solutions and their MSEM (Mean Squared Error Matrix) are obtained using several-epoch single frequency phase data. Combined with LAMBDA method, the new approach was used to fix the integer ambiguities correctly and quickly using MSEM instead of the cofactor matrix of the ambiguities. Finally, a baseline over 3 km is taken as an example. The fixed integer ambiguities by the new approach using five epoch single frequency phase data are the same as those fixed by Bernese software using long time data. The success rate of fixing the integer ambiguities is 100 percent using 197 group data.Compared with the traditional methods, the new approach provides better accuracy and efficiency in GPS rapid positioning. So, the new approach has an extensive application outlook in deformation monitoring, pseudokinematic relative positioning, and attitude determination, etc.
基金supported by the National Natural Science Foundation of China(Grant Nos.40474009 and 40204001)the Know ledge lnnovation Project of Chinese Academy of Sciences(Grant No.030185).
文摘A kind of uniform reliability index suitable for the code and phase observations is presented and used in reliability evaluation of satellite systems. Then, based on 25 stations of Crustal Movement Observation Network of China, satellite visibility, positioning availability and observationreliability of GPS, GALILEO and integrated GPS- GALILEO are calculated and analyzed in detail. Simulation results reveal that the satellite visibility of GALILEO is superior to that of GPS. Given positioning accuracy, horizontal positioning availability of GALILEO is consistent with that of GPS, but its vertical positioning availability is superior to that of GPS. However, the integrated GPS-GALILEO is shown to be superior to each of the single systems in the aspects of positioning accuracy and availability. The reliability of code and phase observationsbased on GALILEO and integrated GPS-GALILEO system is superior to that of GPS both in spatial and temporal domains on the whole. The new reliability index presented is simple to calculate and reflects reliability differences ofdifferent satellite systems.
文摘Based on the 21 series of the high precision tidal gravity observations recorded using superconducting gravimeters (SG) at 14 stations distributed globally (in to-tally about 86 years), the translational oscillations of the Earth抯 solid inner core (ESIC) is detected in this paper. All observations are divided into two groups with G-Ⅰ group (8 relatively longer observational series) and G-Ⅱ group (13 relatively shorter observational series). The detailed correc-tions to minute original observations for each station are carried out, the error data due to the earthquakes, power supply impulses and some perturbations as change in at-mospheric pressure and so on are carefully deleted for the first step, the gravity residuals are obtained after removing further synthetic tidal gravity signals. The Fast Fourier Transform analysis is carried out for each residual series, the estimations of the product spectral densities in the sub-tidal band are obtained by using a multi-station staking technique. The 8 common peaks are found after further removing the remaining frequency dependent pressure signals. The eigen-periods, quality factors and resonant strengths for these peaks are simulated. The numerical results show that the discrepancies of the eigenperiods for 3 of 8 peaks, compared to those of theoretical computation given by Smith, are only 0.4%, -0.4% and 1.0%. This coincidence signifies that the dynamical phenomenon of the Earths solid inner core can be detected by using high precision ground gravity observations. The reliability of the numerical computation is also checked, the spectral peak splitting phenomenon induced by Earths rotation and ellipticity is preliminary discussed in this paper.
基金supported jointly by the National Outstanding Youth Science Foundation of China (Grant No.49925411)the Knowledge Innovation Project of the Chinese Academy of Sciences(Grant No.KZCX3-CW-131)the National Natural Science Foundation of China(Grant No.40174022).
文摘Based on the 28 series of the high precision and high minute sampling tidal gravity observations at 20 stations in Global Geodynamics Project (GGP) network, the resonant parameters of the Earth's nearly diurnal free wobble (including the eigenperiods, resonant strengths and quality factots) are precisely determined. The discrepancy of the eigenperiod between observed and theoretical values is studied, the important conclusion that the real dynamic ellipticity of the liquid core is about 5% larger than the one under the static equilibrium assumption is approved by using our gravity technique. The experimental Earth's tidal gravity models with considering the nearly diurnal free wobble of the Earth's liquid core are constructed in this study. The numerical results show that the difference among three experimental models is less than 0.1%, and the largest discrepancy compared to those widely used nowdays given by Dehant (1999) and Mathews (2001) is only about 0.4%. It can provide with the most recent real experimental tidal gravity models for the global study of the Earth's tides, geodesy and space techniques and so on.
