共查询到20条相似文献，搜索用时 15 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.
Applications of graph theory to gross error detection for GPS geodetic control networks 总被引：1，自引：0，他引：1
Samwel Simon Katambi 《地球空间信息科学学报》2002,5(4):26-31
1 ＧｒａｐｈｔｈｅｏｒｙａｎｄｄｅｆｉｎｉｔｉｏｎｓＡｇｒａｐｈＧｃｏｎｓｉｓｔｓｏｆｐｏｉｎｔｓ (ＮＯＤＥＳ)ａｎｄｌｉｎｅｓ (ＥＤＧＥＳ)ｃｏｎｎｅｃｔｉｎｇｔｈｅｓｅｐｏｉｎｔｓ .Ｔｈｅｐｏｉｎｔｓａｒｅｃａｌｌｅｄｎｏｄｅｓａｎｄｌｉｎｅｓａｒｅｅｄｇｅｓ .Ａｄｉｒｅｃｔｅｄｇｒａｐｈｉｓａｇｒａｐｈｉｎｗｈｉｃｈｔｈｅｅｄｇｅｓｃｏｎ ｎｅｃｔｉｎｇｔｈｅｎｏｄｅｓａｒｅｓｐｅｃｉｆｉｅｄ .Ａｔｒｅｅｉｓａｃｏｎｎｅｃｔｅｄｇｒａｐｈｗｉｔｈｏｕｔａｎｙｌｏｏｐ .Ａｌｏｏｐｉｓａｃｌｏｓ… 相似文献
3.
剥蚀法计算GPS观测网独立环闭合差 总被引：1，自引：0，他引：1
在GPS测量中，往往需要计算三角形、多边形闭合差，以便及时发现观测粗差、衡量GPS观测精度。本文提出了剥蚀法计算GPS观测网独立环闭合差，这种方法利用计算机自动确定观测网中的独立环个数，并计算所有独立环闭合差。它适合各种复杂的观测图形，所计算的独立环个数是唯一的，独立环为观测网中的最小闭合单元，并且环与环之间不出现包含和重复。 相似文献
4.
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
5.
6.
针对独立闭合环自动生成经典算法中多解性和环长未定两个问题,应用闭合环网形的信息矩阵,顾及边长因素,提出了一种基于矩阵运算的新算法,生成的闭合环满足最短独立闭合环的所有要求。 相似文献
7.
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
8.
9.
选权迭代法在面对独立观测量中的粗差时能够表现出良好的探测效果,但由于其只是一种基于独立观测值的稳健估计法,没有考虑到观测值之间的相关性[1]。而现有的等价权函数虽然都满足稳健估计的要求,但由于所构造的等价权阵不对称,使得最后平差结果严重偏离实际情况。本文介绍在传统稳健估计的基础上,在定权时充分考虑相关观测值之间相关性的不变性,构造对称的方差—协方差阵不断扩大,并通过VB进行编程及实例分析,发现该方法对粗差的敏感度非常强,探测精度很高。 相似文献
10.
分析了高精度GPS形变监测网数据处理中系统误差的影响,给出了顾及系统误差影响的自由网平差模型;针对粗差在GPS观测数据中存在的广泛性,在对平差模型进行整体性检验的基础上,采用检验方法消除粗差对平差结果的影响;结合抗差估计,对中国地壳运动观测网络工程1999~2003年观测数据进行了处理,验证了模型的精度和可靠性。 相似文献
11.
实现控制网最小独立异步环的计算机自动搜索是一项较为复杂、繁琐的工作,目前介绍此工作方法的文献大多是阐述过程中的某一部分,并且部分细节问题讨论得较少。文中以帮助初学者对此项工作形成完备的认识并能够自主编程实现为目的,以GNSS控制网为例,详细介绍基于生成树的控制网最小独立异步环自动搜索方法,内容包括生成树的定义及建立方法,最短路径搜索-Dijkstra算法的原理与实现步骤,利用生成树与最短路径搜索算法搜索最小独立闭合环的原理及具体实现步骤,以及同步观测环的自动搜索方法。最后以一个控制网实例说明此方法的可行性。 相似文献
12.
GNSS实时数据质量控制 总被引：2，自引：2，他引：0
设计了一套实时数据质量控制模块,利用观测值的多种线性组合进行周跳探测及修复,并对观测方程的验后残差进行实时分析,来探测粗差和周跳,从而使实时数据的处理结果更加稳定可靠,并在PANDA单历元实时数据处理模块(SRIF)的基础上,运用实时质量控制模块进行试验。结果表明,此模块更加稳定可靠,适用于GNSS实时数据处理。 相似文献
13.
粗差发现和定位能力与相关系数的关系 总被引：2，自引：0，他引：2
根据粗差判断方程中的判断矩阵和两个统计检验量之间相关系数的函数式,论证了两种不同的研究方法所确定的粗差不能定位的数学模型实际上是相等的。通过算例,不仅说明两种研究方法对观测量不能定位粗差的判断是一致的,而且使用判断矩阵研究观测量的粗差发现和定位能力会更加方便简单。 相似文献
14.
多维平差问题粗差的局部分析法 总被引：1，自引：0，他引：1
用一个水准网说明了依据改正数进行粗差处理可能导致错误,而且粗差能够被正确处理与其所处的位置有关。为了解决这个问题,本文提出了局部分析法。局部分析法从多维平差问题的函数模型出发,根据设计矩阵得到一个被观测量的多个独立观测,包括被观测量的观测值和其他观测值的函数,并且给出了根据平差问题的设计矩阵搜索这些函数的方法。根据独立观测的数目即可判断被观测量的观测值能否容忍粗差。在此基础上提出了一种根据真误差判断被观测量的独立观测所涉及到的观测值是否含有粗差的方法。最后用一个测角网说明局部分析法和粗差探测方法的过程。 相似文献
15.
W. Prószyński 《Journal of Geodesy》2010,84(9):547-556
An approach to internal reliability analysis is presented which, compared to existing approaches, offers further insight into
the system responses to observation gross errors. The proposed reliability measures are defined on the diagonal and non-diagonal
elements of the modified reliability matrix being an oblique projector. It maps the observations into the least squares residuals,
both expressed as multiples of the a priori standard deviations of the observations. The system responses to a single gross
error, such as the local, the quasi-global or the global response, are discussed and their consistency with non-correlation
case is proved. Also, the reliability criteria interpretable in terms of those responses are proposed. They enable one to
evaluate the observation systems with correlated and uncorrelated observations with respect to internal reliability. An attempt
is also made to relate the global responses to reliability numbers that are the basis for determining the magnitude of the
minimal detectable bias. Some differences of the new reliability measures in relation to existing measures are indicated.
A numerical example is provided, showing the reliability analysis for a simulated horizontal network (distances, angles and
GPS vectors), with given covariance matrix for GPS-vector components. In addition, a reliability analysis is presented for
a simple leveling network being a study case for other authors referred to in this paper. 相似文献
16.
17.
应用图论理论,直接根据控制网平差的基于测站的网点信息和观测值文件,提出了最小独立闭合环自动生成的逐步回代法和附合导线自动生成的组合法,并编程予以实现。最后用实例验证了算法的正确性和用之进行观测值质量检核的有效性。 相似文献
18.
不同等级或分属不同区域的控制点间,以及由不同单位布设的控制点间可能存在较大的误差。若将这些存在较大误差的已知点作为平差计算或坐标转换的约束,其结果必然会扭曲GPS测量的原有精度,特别是当这些点误差较大或含有粗差时,将严重影响GPS成果的可靠性,使高精度的GPS定位成果失去其本来的意义。本文分别探讨了平差结果直接分析法、实测基线比较法、单位权方差假设检验法和附合路线坐标闭合差检验法等对GPS控制网起算数据进行兼容性分析的方法,并采用其中几种对GPS控制网起算数据进行具体分析和计算,剔除了含有粗差的已知点,保证了控制测量成果的精度和可靠性。 相似文献
19.
20.
Due to increased demands on the quality of the results of Global Positioning System (GPS) evaluations, various authors have studied improvements of the stochastic model of GPS carrier-phase observations. These improvements are based on the reasonable assumption that the commonly used stochastic model with independent and homoscedastic (i.e. equal variance) errors is unrealistic. However, this has not been proved rigorously so far. A statistical test procedure based on uncorrelated least–squares residuals, which allows verification of the hypothesis of a heterogeneous variance, is provided. The statistical test procedure is of interest in its own right, and is independent of the practical problem considered. The presented technique is applied to GPS carrier-phase observations. Results show that the variances of the investigated observations are far from homogeneous. It is indicated that the error variances of the presented data increase with decreasing GPS satellite elevation. These results confirm the assumption that the commonly used stochastic model of GPS observations is inadequate and has to be improved. 相似文献