共查询到20条相似文献，搜索用时 31 毫秒
1.
This paper describes a broad perspective of the application of graph theory to establishment of GPS control networks whereby the GPS network is considered as a connected and directed graph with three components. In this algorithm the gross error detection is undertaken through loops of different spanning trees using the “Loop Law” in which the individual components ΔX, ΔY and ΔZ sum up to zero. If the sum of the respective vector components ΩX, ΩY and ΩZ in a loop is not zero and if the error is beyond the tolerable limit (ε>ω), it indicates the existence of gross errors in one of the baselines in the loop and therefore the baseline must be removed or re-observed. After successful screening of errors by graph theory, network adjustment can be carried out. In this paper, the GPS data from the control network established as refence system for the HP Dam at Baishan county in Liaoning province is presented to illustrate the algorithm. 相似文献
2.
Graph Theory Applications to GPS Networks 总被引：1，自引：0，他引：1
Gilad Even-Tzur 《GPS Solutions》2001,5(1):31-38
This paper aims at presenting a new perspective of GPS networks, based on principles from graph theory, which are used to
describe some connectivity properties of GPS networks. This is possible using a directed, connected graph and an incidence
matrix. As the incidence matrix maintains information about the GPS graphy, the fundamental set of independent loops in the
GPS network can be read from the incidence matrix. A spanning tree serves as a primary tool in locating the independent loops.
According to the loop law the coordinate differences around loops sum up to zero. The measured vectors contain random and
gross errors. Hence, if the entire independent loops sums are less than a certain threshold in three components, we can guarantee
that there are no gross errors in the observations. The fundamental set of independent loops, based on different spanning
trees, is used to detect gross errors in the observations without using adjustment computation. We use a small, simulated
network containing gross errors to demonstrate the proposed algorithm. ? 2001 John Wiley & Sons, Inc. 相似文献
3.
Since the beginning of the International Global Navigation Satellite System (GLONASS) Experiment, IGEX, in October 1998,
the Center for Orbit Determination in Europe (CODE) has acted as an analysis center providing precise GLONASS orbits on a
regular basis. In CODE's IGEX routine analysis the Global Positioning System (GPS) orbits and Earth rotation parameters are
introduced as known quantities into the GLONASS processing. A new approach is studied, where data from the IGEX network are
combined with GPS observations from the International GPS Service (IGS) network and all parameters (GPS and GLONASS orbits,
Earth rotation parameters, and site coordinates) are estimated in one processing step. The influence of different solar radiation
pressure parameterizations on the GLONASS orbits is studied using different parameter subsets of the extended CODE orbit model.
Parameterization with three constant terms in the three orthogonal directions, D, Y, and X (D = direction satellite–Sun, Y = direction of the satellite's solar panel axis), and two periodic terms in the X-direction, proves to be adequate for GLONASS satellites. As a result of the processing it is found that the solar radiation
pressure effect for the GLONASS satellites is significantly different in the Y-direction from that for the GPS satellites, and an extensive analysis is carried out to investigate the effect in detail.
SLR observations from the ILRS network are used as an independent check on the quality of the GLONASS orbital solutions. Both
processing aspects, combining the two networks and changing the orbit parameterization, significantly improve the quality
of the determined GLONASS orbits compared to the orbits stemming from CODE's IGEX routine processing.
Received: 10 May 2000 / Accepted: 9 October 2000 相似文献
4.
GPS signal diffraction modelling: the stochastic SIGMA-δ model 总被引：1，自引：0，他引：1
The SIGMA-Δ model has been developed for stochastic modelling of global positioning system (GPS) signal diffraction errors
in high precision GPS surveys. The basic information used in the SIGMA-Δ model is the measured carrier-to-noise power-density
ratio (C/N0). Using the C/N0 data and a template technique, the proper variances are derived for all phase observations. Thus the quality of the measured
phase is automatically assessed and if phase observations are suspected to be contaminated by diffraction effects they are
weighted down in the least-squares adjustment. The ability of the SIGMA-Δ model to reduce signal diffraction effects is demonstrated
on two static GPS surveys as well as on a kinematic high-precision GPS railway survey. In cases of severe signal diffraction
the accuracy of the GPS positions is improved by more than 50% compared to standard GPS processing techniques.
Received: 27 July 1998 / Accepted: 1 March 1999 相似文献
5.
On the multivariate total least-squares approach to empirical coordinate transformations. Three algorithms 总被引：2，自引：1，他引：1
The multivariate total least-squares (MTLS) approach aims at estimating a matrix of parameters, Ξ, from a linear model (Y−E
Y
= (X−E
X
) · Ξ) that includes an observation matrix, Y, another observation matrix, X, and matrices of randomly distributed errors, E
Y
and E
X
. Two special cases of the MTLS approach include the standard multivariate least-squares approach where only the observation
matrix, Y, is perturbed by random errors and, on the other hand, the data least-squares approach where only the coefficient matrix
X is affected by random errors. In a previous contribution, the authors derived an iterative algorithm to solve the MTLS problem
by using the nonlinear Euler–Lagrange conditions. In this contribution, new lemmas are developed to analyze the iterative
algorithm, modify it, and compare it with a new ‘closed form’ solution that is based on the singular-value decomposition.
For an application, the total least-squares approach is used to estimate the affine transformation parameters that convert
cadastral data from the old to the new Israeli datum. Technical aspects of this approach, such as scaling the data and fixing
the columns in the coefficient matrix are investigated. This case study illuminates the issue of “symmetry” in the treatment
of two sets of coordinates for identical point fields, a topic that had already been emphasized by Teunissen (1989, Festschrift
to Torben Krarup, Geodetic Institute Bull no. 58, Copenhagen, Denmark, pp 335–342). The differences between the standard least-squares
and the TLS approach are analyzed in terms of the estimated variance component and a first-order approximation of the dispersion
matrix of the estimated parameters. 相似文献
6.
H. Kutterer 《Journal of Geodesy》1998,72(2):51-63
GPS has become an essential tool for the precise determination of point positions. Since GPS campaigns for geodynamic purposes
– such as the monitoring of recent crustal movements – require major financial efforts, it is essential to ensure already
in the planning phase a good network quality and the attainment of the scientific goals in a reasonable time. The paper outlines
an operationally oriented procedure for these purposes based on the simulation and processing of GPS carrier-phase observations.
Sensitivity analysis techniques are applied to describe both the network strain as it may be induced by gross errors and the
detectability of point movements between two sessions or two campaigns. In addition, the eigenvalue decomposition of the variance-covariance
matrix of the GPS coordinates will be used to identify weakly determined network components. The design of the SCAR Epoch
95 Campaign GPS network is discussed throughout the paper. It was realized in the Antarctic summer 1994/1995 on the Antarctic
peninsula.
Received: 30 November 1995 / Accepted: 1 July 1997 相似文献
7.
Peter J. Huber 《Journal of Geodesy》2006,80(6):283-303
The stochastic behavior of the length of day (LOD) process is analyzed and is modeled within statistical accuracy on a time-scale ranging from weeks to millennia by a three-component model comprising a global Brownian motion process, decadal fluctuations, and a 50-day Madden–Julian oscillation. While the model is intended to be phenomenological, some possible physical models underlying the three components are speculated upon. The model is applied to estimate long-range extrapolation errors. For example, it predicts a standard error of 1 h in the clock-time correction ΔT for extrapolation by 1,500 years from 500 to 2000 BC. 相似文献
8.
ITRF2008 is a refined version of the International Terrestrial Reference Frame based on reprocessed solutions of the four space geodetic techniques: VLBI, SLR, GPS and DORIS, spanning 29, 26, 12.5 and 16?years of observations, respectively. The input data used in its elaboration are time series (weekly from satellite techniques and 24-h session-wise from VLBI) of station positions and daily Earth Orientation Parameters (EOPs). The ITRF2008 origin is defined in such a way that it has zero translations and translation rates with respect to the mean Earth center of mass, averaged by the SLR time series. Its scale is defined by nullifying the scale factor and its rate with respect to the mean of VLBI and SLR long-term solutions as obtained by stacking their respective time series. The scale agreement between these two technique solutions is estimated to be 1.05 ± 0.13 ppb at epoch 2005.0 and 0.049 ± 0.010?ppb/yr. The ITRF2008 orientation (at epoch 2005.0) and its rate are aligned to the ITRF2005 using 179 stations of high geodetic quality. An estimate of the origin components from ITRF2008 to ITRF2005 (both origins are defined by SLR) indicates differences at epoch 2005.0, namely: ?0.5, ?0.9 and ?4.7?mm along X, Y and Z-axis, respectively. The translation rate differences between the two frames are zero for Y and Z, while we observe an X-translation rate of 0.3?mm/yr. The estimated formal errors of these parameters are 0.2?mm and 0.2?mm/yr, respectively. The high level of origin agreement between ITRF2008 and ITRF2005 is an indication of an imprecise ITRF2000 origin that exhibits a Z-translation drift of 1.8?mm/yr with respect to ITRF2005. An evaluation of the ITRF2008 origin accuracy based on the level of its agreement with ITRF2005 is believed to be at the level of 1?cm over the time-span of the SLR observations. Considering the level of scale consistency between VLBI and SLR, the ITRF2008 scale accuracy is evaluated to be at the level of 1.2?ppb (8?mm at the equator) over the common time-span of the observations of both techniques. Although the performance of the ITRF2008 is demonstrated to be higher than ITRF2005, future ITRF improvement resides in improving the consistency between local ties in co-location sites and space geodesy estimates. 相似文献
9.
A new approach for deformation monitoring of super high-rise building using GPS/BDS technology is proposed for the case when prior coordinates are known and the baseline is short but has a large height difference. The approach is based on the ambiguity function method (AFM). Considering that the double-differenced (DD) troposphere delay residual error cannot be ignored, the relative zenith tropospheric delay (RZTD) parameter is introduced into the original AFM equation. Thus, the RZTD and 3D coordinate parameters are together obtained through the modified AFM (MAFM). Due to the low computational efficiency of conventional AFM, an improved particle swarm optimization (IPSO) algorithm is used to search the four optimal parameters X/Y/Z/RZTD and replaces the grid search method. In this study, GPS/BDS deformation monitoring data for buildings with approximately 290 m height difference were used to verify the feasibility of the proposed MAFM. Numerical results show a single-epoch average computation time of approximately 0.3 s, which meets the requirements of near-real-time dynamic monitoring. The average accuracy of the GPS single-epoch RZTD solution is better than 1 cm, the combined GPS/BDS MAFM performance outperforms the GPS-only system, and using multi-epoch observations can further improve the accuracy of the RZTD solution. After RZTD correction, GPS/BDS monitoring precision can be improved, particularly the height dimension, whose precision is improved by approximately 6 cm. 相似文献
10.
O. Remmer 《Journal of Geodesy》1969,43(2):99-122
A method for filtering of geodetic observationwhich leaves the final result normally distributed, is presented. Furthermore, it is shown that if you sacrifice100.a% of all the observations you may be (1−β).100% sure that a gross error of the size Δ is rejected.
Another and, may be intuitively, more appealing method is presented; the two methods are compared and it is shown why Method
1 should be preferred to Method 2 for geodetic purposes.
Finally the two methods are demonstrated in some numerical examples. 相似文献
11.
Christopher Jekeli 《Journal of Geodesy》1980,54(2):137-147
Errors are considered in the outer zone contribution to oceanic undulation differences as obtained from a set of potential
coefficients complete to degree 180. It is assumed that the gravity data of the inner zone (a spherical cap), consisting of
either gravity anomalies or gravity disturbances, has negligible error. This implies that error estimates of the total undulation
difference are analyzed. If the potential coefficients are derived from a global field of 1°×1° mean anomalies accurate to
εΔg=10 mgal, then for a cap radius of 10°, the undulation difference error (for separations between 100 km and 2000 km) ranges
from 13 cm to 55 cm in the gravity anomaly case and from 6 cm to 36 cm in the gravity disturbance case. If εΔg is reduced to 1 mgal, these errors in both cases are less than 10 cm. In the absence of a spherical cap, both cases yield
identical error estimates: about 68 cm if εΔg=1 mgal (for most separations) and ranging from 93 cm to 160 cm if εΔg=10 mgal. Introducing a perfect 30-degree reference field, the latter errors are reduced to about 110 cm for most separations. 相似文献
12.
An algorithm for very accurate absolute positioning through Global Positioning System (GPS) satellite clock estimation has
been developed. Using International GPS Service (IGS) precise orbits and measurements, GPS clock errors were estimated at
30-s intervals. Compared to values determined by the Jet Propulsion Laboratory, the agreement was at the level of about 0.1 ns
(3 cm). The clock error estimates were then applied to an absolute positioning algorithm in both static and kinematic modes.
For the static case, an IGS station was selected and the coordinates were estimated every 30 s. The estimated absolute position
coordinates and the known values had a mean difference of up to 18 cm with standard deviation less than 2 cm. For the kinematic
case, data obtained every second from a GPS buoy were tested and the result from the absolute positioning was compared to
a differential GPS (DGPS) solution. The mean differences between the coordinates estimated by the two methods are less than
40 cm and the standard deviations are less than 25 cm. It was verified that this poorer standard deviation on 1-s position
results is due to the clock error interpolation from 30-s estimates with Selective Availability (SA). After SA was turned
off, higher-rate clock error estimates (such as 1 s) could be obtained by a simple interpolation with negligible corruption.
Therefore, the proposed absolute positioning technique can be used to within a few centimeters' precision at any rate by estimating
30-s satellite clock errors and interpolating them.
Received: 16 May 2000 / Accepted: 23 October 2000 相似文献
13.
The 2 arc-minute × 2 arc-minute geoid model (GEOID96) for the United States supports the conversion between North American
Datum 1983 (NAD 83) ellipsoid heights and North American Vertical Datum 1988 (NAVD 88) Helmert heights. GEOID96 includes information
from global positioning system (GPS) height measurements at optically leveled benchmarks. A separate geocentric gravimetric
geoid, G96SSS, was first calculated, then datum transformations and least-squares collocation were used to convert from G96SSS
to GEOID96.
Fits of 2951 GPS/level (ITRF94/NAVD 88) benchmarks to G96SSS show a 15.1-cm root mean square (RMS) around a tilted plane (0.06 ppm,
178∘ azimuth), with a mean value of −31.4 cm (15.6-cm RMS without plane). This mean represents a bias in NAVD 88 from global mean
sea level, remaining nearly constant when computed from subsets of benchmarks. Fits of 2951 GPS/level (NAD 83/NAVD 88) benchmarks
to GEOID96 show a 5.5-cm RMS (no tilts, zero average), due primarily to GPS error. The correlated error was 2.5 cm, decorrelating
at 40 km, and is due to gravity, geoid and GPS errors. Differences between GEOID96 and GEOID93 range from −122 to +374 cm
due primarily to the non-geocentricity of NAD 83.
Received: 28 July 1997 / Accepted: 2 September 1998 相似文献
14.
Modern dual-frequency global positioning system (GPS) receivers are capable of providing direct measurements of both L1 C/A (C1) and P code (P1) without the use of the Y-codes under Anti-Spoofing. A discrepancy or bias between the C1 and P1 measurements from these receivers has however been of concern to operators and users of GPS reference networks. For the
purpose of modeling and estimation, the nature and characteristics of the discrepancy must be investigated. The research results
presented indicate that the discrepancy between the C1 and P1 measurements contains two different types of components: one is of constant type while another is time variant. A method
has been developed for their modeling and estimation. The residual C1–P1 time series after a satellite-dependent bias removal agree at a few-centimeter level, indicating the effectiveness of the
proposed model. This allows the C1–P1 discrepancy, both constant and non-constant components, to be removed from GPS reference network solutions. Numerical results
are provided to support the analysis.
Received: 12 October 1999 / Accepted: 11 May 2000 相似文献
15.
《International Journal of Digital Earth》2013,6(1):72-82
Abstract Digital elevation model (DEM) matching techniques have been extended to DEM deformation detection by substituting a robust estimator for the least squares estimator, in which terrain changes are treated as gross errors. However, all existing methods only emphasise their deformation detecting ability, and neglect another important aspect: only when the gross error can be detected and located, can this system be useful. This paper employs the gross error judgement matrix as a tool to make an in-depth analysis of this problem. The theoretical analyses and experimental results show that observations in the DEM matching algorithm in real applications have the ability to detect and locate gross errors. Therefore, treating the terrain changes as gross errors is theoretically feasible, allowing real DEM deformations to be detected by employing a surface matching technique. 相似文献
16.
FENG Wenhao 《地球空间信息科学学报》2001,4(3):50-56
1 ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅａｐｐｌｉｃａｔｉｏｎｏｆｃｌｏｓｅ＿ｒａｎｇｅｐｈｏｔｏｇｒａｍｍｅｔｒｙｉｓｔｏｄｅｔｅｒｍｉｎｅｔｈｅｆｏｒｍａｎｄｓｉｚｅ ,ｒａｔｈｅｒｔｈａｎｔｈｅａｂ ｓｏｌｕｔｅｐｏｓｉｔｉｏｎ ,ｏｆａｎｏｂｊｅｃｔｉｎｔｈｅｆｉｅｌｄｏｆａｒｃｈｉｔｅｃ ｔｕｒｅ ,ｉｎｄｕｓｔｒｙａｎｄｂｉｏｍｅｄｉｃｉｎｅ .Ａｎｙｉｎｔｅｇｒａｌｔｒａｎｓ ｌａｔｉｏｎａｎｄｒｏｔａｔｉｏｎｃａｕｓｅｄｂｙｄｉｆｆｅｒｅｎｔｏｐｅｒａｔｉｏｎｐｒｏｃｅｓｓｉｎｃｌｏｓｅ＿ｒａｎｇ… 相似文献
17.
J. Feltens 《Journal of Geodesy》2009,83(2):129-137
The vector-based algorithm to transform Cartesian (X, Y, Z ) into geodetic coordinates (, λ, h) presented by Feltens (J Geod, 2007, doi:) has been extended for triaxial ellipsoids. The extended algorithm is again based on simple formulae and has successfully
been tested for the Earth and other celestial bodies and for a wide range of positive and negative ellipsoidal heights. 相似文献
18.
在GPS约束平差中,地面已知点的粗差或错误会导致GPS网形扭曲变形,给平差结果带来失真。当平差结果不能通过可靠性检验时,如何确定含有粗差的点以及估计粗差的大小显得很重要。在论证WGS一84地心平面坐标差与国家(如北京54坐标)或地方参心平面坐标差的一致性基础上,通过分析两种坐标对应点的差值及其比值确定粗差点。 相似文献
19.
Selective Availability (SA), the intentional degradation of the accuracy of the single-frequency GPS position by the DoD,
was ended on May 2, 2000. This major policy decision, promised to occur some time in the next 5 years, had an instantaneous
and dramatic impact on the users of single-frequency GPS. Figure 1 shows the “before and after” of the turn-off of SA, and
illustrates how significant and error source SA was. SA was turned off at 0400 UTC, the point on the graph at which the horizontal
and vertical errors were markedly reduced. The magnitudes of the Standard Positioning Service (SPS) circular error probable
(CEP), and sperical error probable (SEP) – the uncertainty in a fix – were reduced to less than 5 meters. ? 2001 John Wiley
& Sons, Inc. 相似文献
20.
在GPS控制测量中,环检验是个不可或缺的步骤,其目的在于及时发现粗差,控制整网的精度。本文通过设计一个环检验程序,从算法角度讨论了手工检验和自动检验的具体实现,并详细介绍了针对复杂网形控制网构环算法的优化,保证了程序的可靠性和稳健性。 相似文献