Statistical techniques and Doppler satellite positioning

1980 ◽  
Vol 294 (1410) ◽  
pp. 365-375
Keyword(s):  
Confidence Regions ◽  
Satellite Networks ◽  
Satellite Observations ◽  
Statistical Techniques ◽  
Satellite Positioning ◽  
Final Development ◽  
Station Coordinates ◽  
Bonferroni's Inequality ◽  
Observation Space ◽  
Detection Of Outliers

Two problems are addressed: ( a ) the detection of outliers in (Doppler satellite) observations, and ( b ) the testing of coordinates in (Doppler satellite) networks. In both problems, confidence regions of the ‘out of context’ and ‘within context’ varieties are developed, and it is shown that the latter are in general about 1 1/2 times larger than the former (conventional) confidence regions. On the basis of this comparison, it is speculated that good data and results are being erroneously rejected. Also it is demonstrated, through the use of Bonferroni’s inequality, that discarding covariances among residuals and discarding cross-covariances among station coordinates each results in a confidence level being greater than 1 — x, the conventionally chosen level. As a final development, a link is made not only between univariate and multivariate testing for outliers among observations but also between testing in observation space and testing in parameter space. The implications of these developments for Doppler satellite positioning are given.

scholarly journals Preliminary Unification of Kronsztadt86 Local Vertical Datum with Global Vertical Datum

2015 ◽  
Vol 97 (1) ◽  
pp. 103-111 ◽  
Author(s):  
Adam Łyszkowicz ◽  
Joanna Kuczyńska-Siehień ◽  
Monika Biryło
Keyword(s):  
Systematic Error ◽  
Sufficient Accuracy ◽  
Satellite Networks ◽  
Satellite Observations ◽  
Gravity Potential ◽  
Best Value ◽  
Vertical Datum ◽  
Normal Heights ◽  
Low Efficiency ◽  
Local Vertical Datum

AbstractThe study concerns computation of the gravity potential difference between the Kronsztadt86 datum and the global vertical datum. This method is based on the use of ellipsoidal heights from satellite observations, normal heights obtained from the conducted leveling campaign and quasigeoid/ellipsoid separations computed based on the EGM2008 model. The obtained results indicate that there are substantial differences in the estimated value of the parameter ΔW, computed from three different satellite networks: POLREF, EUVN-DA and ASG-EUPOS. The parameter was determined with sufficient accuracy and the applied systematic error model has low efficiency. The computations reveal that the best value of ΔW for the territory of Poland is 0.43 m2s-2.

scholarly journals Improved Mitigation Method for the Multipath Delays of BDS-3 Code Observations with the Aid of a Sparse Modeling Algorithm

2021 ◽  
Vol 2021 ◽  
pp. 1-19
Author(s):  
Chao Hu ◽  
Qianxin Wang ◽  
Alberto Hernandez Moraleda
Keyword(s):  
Real Time ◽  
Satellite Observations ◽  
Global Navigation Satellite Systems ◽  
Single Frequency ◽  
Sparse Modeling ◽  
Satellite Systems ◽  
Station Coordinates ◽  
Point Positioning ◽  
Modeling Algorithm ◽  
Multipath Delay

Global navigation satellite systems are essential for positioning, navigation, and timing services. The quality and reliability of satellite observations determine the system performance, especially in the case of the newly launched global BDS-3 service. However, analyses of multipath delays in BDS-3 satellite observations suggest that there are appreciable errors at different frequencies. Improvement of the accuracy and precision of positioning, navigation, and timing services provided by BDS-3 requires the mitigation of multipath delays of the satellite observations. This paper models the multipath delays of BDS-3 observations using a least-squares combined autoregressive method. Furthermore, a sparse modeling algorithm is proposed to obtain a multipath delay series using total variation and elastic net terms for denoising and eliminating the effect of limited original observations. The estimated coefficients of multipath delays are then set as prior information to correct the next-arc code observations, where the square-root information filter is used in the coefficient estimation. Moreover, four groups of experiments are conducted to analyze the results of modeling the BDS-3 multipath delay using the proposed methods, with single-frequency precise point positioning (PPP) and real-time PPP solutions being selected to test the correction of multipath delays in BDS-3 code observations. The residuals of iGMAS and MGEX station coordinates indicate improvements in eastward, northward, and upward directions of at least 4.1%, 9.6%, and 1.2%, respectively, for the frequency B1I; 6.6%, 5.3%, and 0.2%, respectively, for B3I, 12.5%, 14.3%, and 3.8%, respectively, for B1C; and 5.9%, 7.4%, and 18.1%, respectively, for B2a relative to the use of the traditional method in BDS-3 single-frequency PPP. Furthermore, the real-time double-frequency PPP is optimized by at least 10% for B 1 I + B 3 I and B 1 C + B 2 a . An improved result was obtained with the proposed strategy in a standard point positioning experiment. The proposed multipath delay mitigation method is therefore effective in improving BDS-3 satellite code observations.

Ice-Motion Determination by Means of Satellite Positioning Systems

1988 ◽  
Vol 11 ◽  
pp. 36-41 ◽  
Author(s):  
Heinrich Hinze ◽  
Günter Seeber
Keyword(s):  
Satellite Observations ◽  
Field Observations ◽  
Ice Shelf ◽  
Transit System ◽  
Positioning Systems ◽  
Satellite Positioning ◽  
Local Coordinates ◽  
Field Season ◽  
Processing Steps

The satellite positioning systems, NNSS or Transit system and NAVSTAR-GPS, are used successfully for the determination of ice motion. The ice motion is derived from the change in the coordinates of a station between at least two measurement epochs. Simultaneous satellite observations on solid-ground-based and on ice stations yield precise relative or local coordinates between the stations. The ice motion can be determined very accurately from the variation in these coordinates. The field observations and post-processing steps, which differ slightly for the two positioning systems, are outlined. Results for several examples are presented. Ice-motion solutions are discussed for data from Anvers Island (NNSS), from Filchner-Ronne Ice Shelf (NNSS, GPS), and from Ekström Ice Shelf (NNSS, GPS). Slow velocities of a few dm/d could be estimated in the course of one field season and the velocity values found are confirmed by annual station displacements.

Statistical Inference for Measures of Income Mobility / Statistische Inferenz zur Messung der Einkommensmobilität

1999 ◽  
Vol 218 (3-4) ◽  
Author(s):  
Mark Trede
Keyword(s):  
Panel Data ◽  
Confidence Intervals ◽  
Transition Matrix ◽  
Empirical Work ◽  
Confidence Regions ◽  
Statistical Techniques ◽  
Earnings Mobility ◽  
Accounting Period ◽  
Asymptotic Sampling ◽  
Empirical Illustration

SummaryThis paper reviews various mobility measures and establishes their asymptotic sampling distribution. The focus is on both transition matrix mobility measures and mobility measures which are based on the reduction in inequality occurring when the accounting period is extended. Statistical techniques are used to show the asymptotic normality of these measures and their variances. The empirical illustration examines the development of earnings mobility for both sexes in Germany between 1983 and 1992 using the Socio-Economic Panel data. It turns out that male earnings mobility fell during the eighties whereas the development of female earnings mobility is less clear. Comparing the levels of mobility females are more mobile than males, at least when inequality reduction mobility measures are employed. Considering the rather large number of observations the confidence intervals are often surprisingly wide. Therefore, confidence regions for mobility measures ought to be reported in empirical work whenever possible.

Geodetic Control from Doppler Satellite Observations

1972 ◽  
Vol 26 (2) ◽  
pp. 146-162 ◽  
Author(s):  
Edward J. Krakiwsky ◽  
David E. Wells ◽  
Perry Kirkham
Keyword(s):  
Satellite System ◽  
Satellite Tracking ◽  
Satellite Observations ◽  
Eastern Canada ◽  
First Order ◽  
Satellite Positioning ◽  
Single Station ◽  
Least Squares Adjustment ◽  
Terrestrial Network ◽  
The Mathematical Model

Integrated Doppler satellite observations, obtained from the Transit satellite system, are reviewed. The mathematical model relating these observations to coordinates of the observing station is given. The least squares adjustment of the observations is discussed, including uncorrelated and correlated weighting of the observations. Doppler satellite positioning results for single station tracking are presented, in which a repeatability of five meters was achieved. Datum translation components are discussed. Interstation distances between six pairs of stations in eastern Canada, determined from simultaneous Doppler satellite tracking at the pairs of stations (translocation), are compared with results from first-order terrestrial networks and from satellite triangulation and are found to have an agreement, on average, of 2.8 ppm with the best available terrestrial network and 6.2 ppm with preliminary satellite triangulation results. Both single station and translocation results justify correlated weighting of the observations.

scholarly journals Ice-Motion Determination by Means of Satellite Positioning Systems

1988 ◽  
Vol 11 ◽  
pp. 36-41 ◽  
Author(s):  
Heinrich Hinze ◽  
Günter Seeber
Keyword(s):  
Satellite Observations ◽  
Field Observations ◽  
Ice Shelf ◽  
Transit System ◽  
Positioning Systems ◽  
Satellite Positioning ◽  
Local Coordinates ◽  
Field Season ◽  
Processing Steps

The satellite positioning systems, NNSS or Transit system and NAVSTAR-GPS, are used successfully for the determination of ice motion. The ice motion is derived from the change in the coordinates of a station between at least two measurement epochs. Simultaneous satellite observations on solid-ground-based and on ice stations yield precise relative or local coordinates between the stations. The ice motion can be determined very accurately from the variation in these coordinates. The field observations and post-processing steps, which differ slightly for the two positioning systems, are outlined. Results for several examples are presented. Ice-motion solutions are discussed for data from Anvers Island (NNSS), from Filchner-Ronne Ice Shelf (NNSS, GPS), and from Ekström Ice Shelf (NNSS, GPS). Slow velocities of a few dm/d could be estimated in the course of one field season and the velocity values found are confirmed by annual station displacements.

scholarly journals Multivariate Statistics in Single Observation Space

2022 ◽  
pp. 17-30
Author(s):  
Jing Wang ◽  
Jinglin Zhou ◽  
Xiaolu Chen
Keyword(s):  
Data Analysis ◽  
Quality Data ◽  
Statistical Techniques ◽  
Observation Data ◽  
Multivariate Statistical Techniques ◽  
Process Data ◽  
Multivariate Statistical ◽  
Single Observation ◽  
Industrial Data ◽  
Observation Space

AbstractThe observation data collected from continuous industrial processes usually have two main categories: process data and quality data, and the corresponding industrial data analysis is mainly for the two types of data based on the multivariate statistical techniques.

Station Coordinates From Satellite Observations

ARS Journal ◽  
1962 ◽  
Vol 32 (2) ◽  
pp. 252-257
Author(s):  
P. KOSKELA ◽  
L. NICOLA ◽  
L. G. WALTERS
Keyword(s):  
Satellite Observations ◽  
Station Coordinates
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