共查询到20条相似文献，搜索用时 31 毫秒
1.
In many applications of linear model theory, homogeneous variances are assumed. In practice, however, the variances are frequently heterogeneous. Therefore, to improve the results, the unknown variances have to be estimated. The appropriateness of the estimated variances has then to be checked by a suitable statistical test procedure. Such a procedure is also useful to study models of global positioning system (GPS) carrier-phase observations. While the functional model of GPS carrier-phase observations is widely accepted, the stochastic model is still under development. As well as the neglected correlations of GPS observations, a homogenous variance function is frequently assumed. In Bischoff et al. (J Geod 78:397–404, 2005), we showed by statistical testing that the assumption of constant variances is not appropriate. In this paper, we give a procedure to estimate an individual variance function for a pair of satellites and a procedure to check the appropriateness of the estimated variances. As an example, the approach is applied to double-differenced carrier-phase GPS observations. 相似文献
2.
Integer carrier-phase ambiguity resolution is one of the critical issues for precise GPS applications in geodesy and geodynamics. To resolve as many integer ambiguities as possible, the ‘most-easy-to-fix’ double-difference ambiguities have to be defined. For this purpose, several strategies are implemented in existing GPS software packages, such as choosing the ambiguities according to the baseline length or the variances of the estimated real-valued ambiguities. Although their efficiencies are demonstrated in practice, it is proven in this paper that they do not reflect all effects of varying data quality, because they are based on theoretical considerations of GPS data processing. Therefore, a new approach is presented, which selects the double-difference ambiguities according to their probability of being fixed to the nearest integer. The probability is computed from estimates and variances of wide-lane and narrow-lane ambiguities. Together with an optimized ambiguity fixing procedure, the new approach is implemented in the routine data processing for the International GPS Service (IGS) at GeoForschungsZentrum (GFZ) Potsdam. Within a sub-network of about 90 IGS stations, it is demonstrated that more than 97% of the independent ambiguities are fixed correctly compared to 75% by a commonly used method, and that the additionally fixed ambiguities improve the repeatability of the station coordinates by 10–26% in regions with sparse site distribution. 相似文献
3.
Assessing receiver noise using GPS short baseline time series 总被引：14，自引：2，他引：14
4.
In order to achieve a precise positioning solution from GPS, the carrier-phase measurements with correctly resolved integer ambiguities must be used. Based on the integration of GPS with pseudolites and Inertial Navigation Systems (INS), this paper proposes an effective procedure for single-frequency carrier-phase integer ambiguity resolution. With the inclusion of pseudolites and INS measurements, the proposed procedure can speed up the ambiguity resolution process and increase the reliability of the resolved ambiguities. In addition, a recently developed ambiguity validation test, and a stochastic modelling scheme (based on-line covariance matrix estimation) are adapted to enhance the quality of ambiguity resolution. The results of simulation studies and field experiments indicate that the proposed procedure indeed improves the performance of single-frequency ambiguity resolution in terms of both reliability and time-to-fix-ambiguity. 相似文献
5.
A realistic assessment of the total uncertainty budget of Global Positioning System (GPS) observations and its adequate mathematical treatment is a basic requirement for all analysis and interpretation of GPS-derived point positions, in particular GPS heights, and their respective changes. This implies not only the random variability but also the remaining systematic errors. At present in geodesy, the main focus is on stochastic approaches in which errors are modeled by means of random variables. Here, an alternative approach based on interval mathematics is presented. It allows us to model and to quantify the impact of remaining systematic errors in GPS carrier-phase observations on the final results using deterministic error bands. In this paper, emphasis is given to the derivation of the observation intervals based on influence parameters and to the study of the complex linear transfer of this type of uncertainty to estimated point positions yielding zonotopes. From the presented simulation studies of GPS baselines, it turns out that the uncertainty due to remaining systematic effects dominates the total uncertainty budget for baselines longer than 200 km. 相似文献
6.
Minimal detectable biases of GPS data 总被引：4，自引：1，他引：3
P. J. G. Teunissen 《Journal of Geodesy》1998,72(4):236-244
In this contribution closed-form expressions are given for the minimal detectable biases of single- and dual-frequency pseudo-range
and carrier-phase data. They are given for three different single-baseline models. These are the geometry-free model and two
variants of the geometry-based model, namely the roving and stationary variants. The baselines are considered to be sufficiently
short such that orbital uncertainties in the fixed orbits and residual ionospheric and tropospheric delays can be assumed
absent. The stochastic model used is one that permits cross-correlation and the use of different variances for individual
GPS observables, including the possibility to weigh the observables in dependence on which satellite is tracked.
Received: 23 April 1997 / Accepted: 27 October 1997 相似文献
7.
8.
在给出组合GPS/GLONASS单点定位原理后,提出了利用Helmert验后方差估计法对GPS/GLONASS观测值定权的方法,并结合应用实例,通过对比分析说明该方法的可行性,实践表明该方法定权比采用固定权或经验定权更具有合理性。 相似文献
9.
Calibration errors on experimental slant total electron content (TEC) determined with GPS 总被引：12，自引：6，他引：12
The Global Positioning System (GPS) has become a powerful tool for ionospheric studies. In addition, ionospheric corrections
are necessary for the augmentation systems required for Global Navigation Satellite Systems (GNSS) use. Dual-frequency carrier-phase
and code-delay GPS observations are combined to obtain ionospheric observables related to the slant total electron content
(sTEC) along the satellite-receiver line-of-sight (LoS). This observable is affected by inter-frequency biases [IFB; often
called differential code biases (DCB)] due to the transmitting and the receiving hardware. These biases must be estimated
and eliminated from the data in order to calibrate the experimental sTEC obtained from GPS observations. Based on the analysis
of single differences of the ionospheric observations obtained from pairs of co-located dual-frequency GPS receivers, this
research addresses two major issues: (1) assessing the errors translated from the code-delay to the carrier-phase ionospheric
observable by the so-called levelling process, applied to reduce carrier-phase ambiguities from the data; and (2) assessing
the short-term stability of receiver IFB. The conclusions achieved are: (1) the levelled carrier-phase ionospheric observable
is affected by a systematic error, produced by code-delay multi-path through the levelling procedure; and (2) receiver IFB
may experience significant changes during 1 day. The magnitude of both effects depends on the receiver/antenna configuration.
Levelling errors found in this research vary from 1.4 total electron content units (TECU) to 5.3 TECU. In addition, intra-day
vaiations of code-delay receiver IFB ranging from 1.4 to 8.8 TECU were detected. 相似文献
10.
为分析北斗卫星观测值随机特性,估计了地球静止轨道、倾斜地球同步卫星轨道、中地球轨道卫星载波相位观测值的方差分量。发现不同接收机和不同类型卫星观测值方差分量的大小和时变特性具有明显差异。为构建更切实际的方差结构随机模型,提出利用迭代最小二乘和最小范数二次无偏估计相结合的方法,实时估计不同类型北斗卫星观测值方差分量。为评估实时估计随机模型的性能,对243 m、645 m、10 137 m三条不同长度基线进行精密相对定位测试,结果表明:实时估计随机模型能有效改善北斗卫星精密单历元动态相对定位性能,尤其当站间距离较长时改善更显著。10 137m基线测试结果表明,1h数据单历元解在北、东、高方向,平均定位精度分别提高了41.3%、54.5%、51.6%,稳定性分别提高了38.4%、17.7%、39.7%。 相似文献
11.
Quality assessment of GPS rapid static positioning with weighted ionospheric parameters in generalized least squares 总被引：3，自引：2，他引：1
Pawel Wielgosz 《GPS Solutions》2011,15(2):89-99
Precise GPS positioning requires the processing of carrier-phase observations and fixing integer ambiguities. With increasing
distance between receivers, ambiguity fixing becomes more difficult because ionospheric and tropospheric effects do not cancel
sufficiently in double differencing. A popular procedure in static positioning is to increase the length of the observing
session and/or to apply atmospheric (ionospheric) models and corrections. We investigate the methodology for GPS rapid static
positioning that requires just a few minutes of dual-frequency GPS observations for medium-length baselines. Ionospheric corrections
are not required, but the ionospheric delays are treated as pseudo-observations having a priori values and respective weights.
The tropospheric delays are reduced by using well-established troposphere models, and satellite orbital and clock errors are
eliminated by using IGS rapid products. Several numerical tests based on actual GPS data are presented. It is shown that the
proposed methodology is suitable for rapid static positioning within 50–70 km from the closest reference network station and
that centimeter-level precision in positioning is feasible when using just 1 min of dual-frequency GPS data. 相似文献
12.
GPS观测量先验方差-协方差矩阵实时估计 总被引：7，自引：0，他引：7
GPS观测量的先验方差－协方差矩阵的可靠性直接关系到GPS定位结果和可靠性，关系到模糊度初始化时间、模糊度搜索的可靠性及成功率。本文提出了一种GPS观测量的先验方差－协方差矩阵的实时估计方法。其特点是直接利用伪距和载波相位观测值，来实时估计先验方差－协方差矩阵，而且可广泛应用于各种测量型接收机的各种测量模式。该方法应用于模糊度解算中，并与其他方法进行比较，以检验其效果。 相似文献
13.
The detection of cycle slips in carrier-phase data, outliers in phase rate or in code ranges, or any other type of disorder
in the measurements of the GPS system, is one of the major quality-control problems that needs to be addressed, especially
where GPS is used for real-time applications or for those applications that require continuous and reliable positioning results.
This study is concerned with designing algorithms to detect failures or changes of small magnitude, in order to monitor and
control the quality of GPS measurements for critical real-time and/or deformation applications. In this regard, the statistical
technique known as the cumulative-sum test is described for the detection of abrupt changes in the GPS carrier-phase measurements.
Real GPS data have been used to test and evaluate the algorithm.
Received: 27 August 1996 / Accepted: 26 February 1997 相似文献
14.
Spatiotemporal filtering for regional GPS network in China using independent component analysis 总被引：2，自引：0，他引：2
Removal of the common mode error (CME) is a routine procedure in postprocessing regional GPS network observations, which is commonly performed using principal component analysis (PCA). PCA decomposes a network time series into a group of modes, where each mode comprises a common temporal function and corresponding spatial response based on second-order statistics (variance and covariance). However, the probability distribution function of a GPS time series is non-Gaussian; therefore, the largest variances do not correspond to the meaningful axes, and the PCA-derived components may not have an obvious physical meaning. In this study, the CME was assumed statistically independent of other errors, and it was extracted using independent component analysis (ICA), which involves higher-order statistics. First, the ICA performance was tested using a simulated example and compared with PCA and stacking methods. The existence of strong local effects on some stations causes significant large spatial responses and, therefore, a strategy based on median and interquartile range statistics was proposed to identify abnormal sites. After discarding abnormal sites, two indices based on the analysis of the spatial responses of all sites in each independent component (east, north, and vertical) were used to define the CME quantitatively. Continuous GPS coordinate time series spanning \(\sim \)4.5 years obtained from 259 stations of the Tectonic and Environmental Observation Network of Mainland China (CMONOC II) were analyzed using both PCA and ICA methods and their results compared. The results suggest that PCA is susceptible to deriving an artificial spatial structure, whereas ICA separates the CME from other errors reliably. Our results demonstrate that the spatial characteristics of the CME for CMONOC II are not uniform for the east, north, and vertical components, but have an obvious north–south or east–west distribution. After discarding 84 abnormal sites and performing spatiotemporal filtering using ICA, an average reduction in scatter of 6.3% was achieved for all three components. 相似文献
15.
Atmospheric turbulence theory applied to GPS carrier-phase data 总被引：3，自引：3，他引：0
Turbulent irregularities in the lower atmosphere cause physical correlations between Global Positioning System (GPS) carrier-phase
measurements. Based on turbulence theory, a variance–covariance model is developed in this paper that reflects these correlations.
The main result shows that the obtained fully-populated variance–covariance matrices depend not only on the satellite-station
geometry, but also on the prevailing atmospheric conditions, which are parameterised by, e.g., the von Karman spectrum of
refractivity fluctuations and the wind velocity vector. It is shown that the amount of the correlation between two GPS carrier-phase
observations is inversely related to the separation distance of the corresponding ray paths through the turbulent atmosphere.
Furthermore, the wind velocity and direction play a key role in the correlation. 相似文献
16.
Efficiency of carrier-phase integer ambiguity resolution for precise GPS positioning in noisy environments 总被引：1，自引：0，他引：1
Precise GPS positioning relies on tracking the carrier-phase. The fractional part of carrier-phase can be measured directly
using a standard phase-locked loop, but the integer part is ambiguous and the ambiguity must be resolved based on sequential
carrier-phase measurements to ensure the required positioning precision. In the presence of large phase-measurement noise,
as can be expected in a jamming environment for example, the amount of data required to resolve the integer ambiguity can
be large, which requires a long time for any generic integer parameter estimation algorithm to converge. A key question of
interest in significant applications of GPS where fast and accurate positioning is desired is then how the convergence time
depends on the noise amplitude. Here we address this question by investigating integer least-sqaures estimation algorithms.
Our theoretical derivation and numerical experiments indicate that the convergence time increases linearly with the noise
variance, suggesting a less stringent requirement for the convergence time than intuitively expected, even in a jamming environment
where the phase noise amplitude is large. This finding can be useful for practical design of GPS-based systems in a jamming
environment, for which the ambiguity resolution time for precise positioning may be critical. 相似文献
17.
组合GPS／GLONASS精密定位的观测值随机模型 总被引：1，自引：0，他引：1
为了获得组合GPS／GLONASS精密定位结果，该文从理论和数值实例两方面分析了研究组合GPS／GLONASS观测值随机模型的重要性，提出了两种利用观测值的误差残差估计随机模型的方法，即验后估计法和方差－协方差迭代法。理论和数值结果表明，这两种随机模型估计方法与采用经验随机模型相比，可以提高整周模糊度解算的可靠性和定位精度，所提出的观测值随机模型估计方法理论上更严格，实践上可行，并建议采用方差－协方差迭代法估计组合GPS／GLONASS精密定位的观测值随机模型。 相似文献
18.
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
19.
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
20.
In collocation applications, the prior covariance matrices or weight matrices between the signals and the observations should
be consistent to their uncertainties; otherwise, the solution of collocation will be distorted. To balance the covariance
matrices of the signals and the observations, a new adaptive collocation estimator is thus derived in which the corresponding
adaptive factor is constructed by the ratio of the variance components of the signals and the observations. A maximum likelihood
estimator of the variance components is thus derived based on the collocation functional model and stochastic model. A simplified
Helmert type estimator of the variance components for the collocation is also introduced and compared to the derived maximum
likelihood type estimator. Reasonable and consistent covariance matrices of the signals and the observations are arrived through
the adjustment of the adaptive factor. The new adaptive collocation with related adaptive factor constructed by the derived
variance components is applied in a transformation between the geodetic height derived by GPS and orthometric height. It is
shown that the adaptive collocation is not only simple in calculation but also effective in balancing the contribution of
observations and the signals in the collocation model. 相似文献