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1.
基于方差分量估计的拟合推估及其在GIS误差纠正的应用   总被引:2,自引:0,他引:2  
拟合推估解算必须首先求得信号向量的方差协方差矩阵,该协方差矩阵一般通过选定的协方差函数,并通过已测点数据进行拟合得到。显然观测噪声的先验方差协方差阵与拟合得到的随机信号的方差协方差矩阵必须相互协调,即观测噪声向量和信号向量的权矩阵所对应的方差因子应该一致,否则将对固定效应和随机效应参数的估计带来系统性的影响。应用方差分量估计来协调拟合推估模型中观测噪声和信号向量的随机模型,并分别从极大似然估计、MINQUE估计、赫尔默特方差分量估计三方面构建了拟合推估模型的方差分量解,最后利用新提出的理论与方法,对一幅实际的扫描地形图进行误差纠正,结果表明基于方差分量估计的拟合推估法能够提高扫描地形图的精度。  相似文献   

2.
The well-known statistical tool of variance component estimation (VCE) is implemented in the combined least-squares (LS) adjustment of heterogeneous height data (ellipsoidal, orthometric and geoid), for the purpose of calibrating geoid error models. This general treatment of the stochastic model offers the flexibility of estimating more than one variance and/or covariance component to improve the covariance information. Specifically, the iterative minimum norm quadratic unbiased estimation (I-MINQUE) and the iterative almost unbiased estimation (I-AUE) schemes are implemented in case studies with observed height data from Switzerland and parts of Canada. The effect of correlation among measurements of the same height type and the role of the systematic effects and datum inconsistencies in the combined adjustment of ellipsoidal, geoid and orthometric heights on the estimated variance components are investigated in detail. Results give valuable insight into the usefulness of the VCE approach for calibrating geoid error models and the challenges encountered when implementing such a scheme in practice. In all cases, the estimated variance component corresponding to the geoid height data was less than or equal to 1, indicating an overall downscaling of the initial covariance (CV) matrix was necessary. It was also shown that overly optimistic CV matrices are obtained when diagonal-only cofactor matrices are implemented in the stochastic model for the observations. Finally, the divergence of the VCE solution and/or the computation of negative variance components provide insight into the selected parametric model effectiveness.  相似文献   

3.
大气负荷响应计算误差估计模型   总被引:1,自引:0,他引:1  
用数理统计技术,建立格林函方法计算大气变化引起重力和形焦等效应的精度评定模型,并利用中国及其邻区的大气观,蛭大气误差常数和一个计算方案的精度估计,其结果与固体潮汐检测在不同气候条件下的响应情况相一致,该系统也可应用于格林函数积分形式的其它物理模型的误差估计。  相似文献   

4.
5.
MODIS水汽反演用于InSAR大气校正的理论研究   总被引:2,自引:0,他引:2  
大气效应尤其是大气水汽的影响是InSAR干涉测量中主要的误差源和限制因素之一,因此高精度的InSAR应用迫切需要及时掌握大气水汽含量及其时空变化。本文深入分析了利用MODIS的水汽反演结果进行InSAR干涉测量大气校正的可行性,对MODIS近红外水汽反演结果与地基GPS水汽探测结果进行了比较和分析。同时根据GPS解算结果,利用实例讨论了基于地面气象参数的水汽延迟模拟的效果。  相似文献   

6.
污染分布的逼近及应用   总被引:3,自引:1,他引:2  
污染分布是抗差估计的基础。本文试图从观测值残差入手,首先逼近各观测值方差,进而由方差的变化逼近污染正态分布密度。逼近的基本思想是:将异常观测值的方差扩大。文中构造了方差膨胀函数。基于方差膨胀的污染正态分布,可由最小二乘估计获得模型参数的抗差估计解;并由方差传播定律及Bayes推断理论解算参数的验后方差-协方差及置信区间。文中给出了一个算例。  相似文献   

7.
地表形变D-InSAR监测方法及关键问题分析   总被引:2,自引:0,他引:2  
总结和分析了地表形变D-InSAR监测的主要方法和当前所面临的主要问题。针对常规D-InSAR技术中大气相位和低相干区域相 位解缠,分别介绍了基于Delaunay三角网的不规则格网解缠方法、累积干涉纹图处理方法(Stacking Interferograms)、永久性 散射体(PS)技术以及角反射器干涉测量(CR-InSAR)方法,分析了各自的适用条件和优缺点。此外,对有限数据量条件下低相干 区域大气相位校正、相干目标识别等问题进行了重点讨论。立足于工程应用需要,分别对D-InSAR测量地表形变的参数选择、测量 结果的精度验证、D-InSAR测量值与形变的关系、大区域处理以及形变场时空演变等问题进行了分析和讨论。  相似文献   

8.
In this contribution, using the example of the Mátern covariance matrices, we study systematically the effect of apriori fully populated variance covariance matrices (VCM) in the Gauss–Markov model, by varying both the smoothness and the correlation length of the covariance function. Based on simulations where we consider a GPS relative positioning scenario with double differences, the true VCM is exactly known. Thus, an accurate study of parameters deviations with respect to the correlation structure is possible. By means of the mean-square error difference of the estimates obtained with the correct and the assumed VCM, the loss of efficiency when the correlation structure is missspecified is considered. The bias of the variance of unit weight is moreover analysed. By acting independently on the correlation length, the smoothness, the batch length, the noise level, or the design matrix, simulations allow to draw conclusions on the influence of these different factors on the least-squares results. Thanks to an adapted version of the Kermarrec–Schön model, fully populated VCM for GPS phase observations are computed where different correlation factors are resumed in a global covariance model with an elevation dependent weighting. Based on the data of the EPN network, two studies for different baseline lengths validate the conclusions of the simulations on the influence of the Mátern covariance parameters. A precise insight into the impact of apriori correlation structures when the VCM is entirely unknown highlights that both the correlation length and the smoothness defined in the Mátern model are important to get a lower loss of efficiency as well as a better estimation of the variance of unit weight. Consecutively, correlations, if present, should not be neglected for accurate test statistics. Therefore, a proposal is made to determine a mean value of the correlation structure based on a rough estimation of the Mátern parameters via maximum likelihood estimation for some chosen time series of observations. Variations around these mean values show to have little impact on the least-squares results. At the estimates level, the effect of varying the parameters of the fully populated VCM around these approximated values was confirmed to be nearly negligible (i.e. a mm level for strong correlations and a submm level otherwise).  相似文献   

9.
将卫星雷达遥感应用于滑坡灾害的探测与监测,不仅可以从空间尺度上大范围捕捉到滑坡信号,而且可以从时间尺度上以较长周期追踪滑坡的运动状态。但是,卫星雷达遥感本身的局限性和滑坡所处的复杂地形环境使这一应用面临一些挑战。对卫星雷达遥感技术的4个主要挑战进行了总结与分析,同时给出了相应的解决方案:①通过提高卫星雷达影像的空间、时间分辨率,使用较长波段雷达信号或采用增强型时间序列分析技术,可降低密集植被覆盖对相干性的影响。另外,采用像素点偏移量追踪或距离向分频干涉测量方法,可克服传统干涉测量中大梯度形变引起的相位失相干。②大气延迟对卫星遥感的影响较大,尤其是地处山区的滑坡探测和监测,利用通用型卫星雷达大气改正系统可显著减弱干涉影像的大气信号并进一步简化时间序列分析,提高缓慢运动滑坡的探测和监测质量。③对于中等分辨率的雷达影像而言,利用数字高程模型可提前量化分析雷达几何畸变(如叠掩、阴影等)引发的滑坡探测监测的适用性;而对于高分辨率的雷达影像而言,利用机器学习方法无需外部高分辨率数字高程模型即可精确识别雷达影像的阴影和叠掩区并进行掩膜,从而大幅度提高数据处理效率。④针对高坡度地区残余的地形相位引起的解缠误差,可通过基线线性组合的方法予以减弱。此外,提出了一个基于多源对地观测的滑坡探测/监测系统框架,综合卫星雷达遥感与其他对地观测数据(如地基雷达、激光雷达、全球导航定位系统),搭建了一个自动化滑坡探测与监测系统。该研究旨在阐明卫星雷达遥感的优缺点,进一步深化其在滑坡灾害监测方面的应用和推广,引出未来侧重发展方向的思考与探讨。  相似文献   

10.
The application of SAR interferometry (InSAR) in topographic mapping is usually limited by geometric/temporal decorrelations and atmospheric effect, particularly in repeat-pass mode. In this paper, to improve the accuracy of topographic mapping with high-resolution InSAR, a new approach to estimate and remove atmospheric effect has been developed. Under the assumptions that there was no ground deformation within a short temporal period and insignificant ionosphere interference on high-frequency radar signals, e.g. X-bands, the approach was focused on the removal of two types of atmospheric effects, namely tropospheric stratification and turbulence. Using an available digital elevation model (DEM) of moderate spatial resolution, e.g. Shuttle Radar Topography Mission (SRTM) DEM, a differential interferogram was firstly produced from the high-resolution InSAR data pair. A linear regression model between phase signal and auxiliary elevation was established to estimate the stratified atmospheric effect from the differential interferogram. Afterwards, a combination of a low-pass and an adaptive filter was employed to separate the turbulent atmospheric effect. After the removal of both types of atmospheric effects in the high-resolution interferogram, the interferometric phase information incorporating local topographic details was obtained and further processed to produce a high-resolution DEM. The feasibility and effectiveness of this approach was validated by an experiment with a tandem-mode X-band COSMO-SkyMed InSAR data pair covering a mountainous area in Northwestern China. By using a standard Chinese national DEM of scale 1:50,000 as the reference, we evaluated the vertical accuracy of InSAR DEM with and without atmospheric effects correction, which shows that after atmospheric signal correction the root-mean-squared error (RMSE) has decreased from 13.6 m to 5.7 m. Overall, from this study a significant improvement to derive topographic maps with high accuracy has been achieved by using the proposed approach.  相似文献   

11.
Noise in multivariate GPS position time-series   总被引:4,自引:2,他引:2  
A methodology is developed to analyze a multivariate linear model, which occurs in many geodetic and geophysical applications. Proper analysis of multivariate GPS coordinate time-series is considered to be an application. General, special, and more practical stochastic models are adopted to assess the noise characteristics of multivariate time-series. The least-squares variance component estimation (LS-VCE) is applied to estimate full covariance matrices among different series. For the special model, it is shown that the multivariate time-series can be estimated separately, and that the (cross) correlation between series propagates directly into the correlation between the corresponding parameters in the functional model. The time-series of five permanent GPS stations are used to show how the correlation between series propagates into the site velocities. The results subsequently conclude that the general model is close to the more practical model, for which an iterative algorithm is presented. The results also indicate that the correlation between series of different coordinate components per station is not significant. However, the spatial correlation between different stations for individual components is significant (a correlation of 0.9 over short baselines) both for white and for colored noise components.  相似文献   

12.
随着合成孔径雷达(SAR)卫星的不断发射,合成孔径雷达干涉测量技术(interferometric synthetic aperture radar,InSAR)得到前所未有的发展机遇,同时也面临诸多挑战。本文首先简要介绍了SAR卫星发展现状与InSAR技术的基本原理,并系统梳理了干涉图堆叠(InSAR stacking)、小基线集干涉测量(small baseline subset InSAR,SBAS-InSAR)、永久散射体干涉测量(persistent scatterer InSAR,PS-InSAR)、分布式散射体干涉测量(distributed scatterer InSAR,DS-InSAR)和分频干涉测量(split-bandwidth interferometry,SBI)等先进InSAR技术的优缺点。在此基础上,指出目前InSAR技术面临的主要挑战(相位失相干、大气延迟、相位解缠、几何畸变和多维变形测量)及相应的解决方案。进一步从地震、火山、滑坡、地面沉降、冰川运动、人工建构筑物位移变形及大气水汽含量估计等不同的应用场景分析了InSAR技术的应用现状和存在的缺陷。最后,展望目前InSAR的发展趋势,随着更高空间分辨率,更高时间分辨率,更轻小化SAR卫星的不断发展,InSAR技术将会被应用到越来越多的新场景,激励我国雷达影像干涉测量更快发展。  相似文献   

13.
This paper presents a method for deriving time-series three-dimensional (3-D) displacements of mining areas from a single-geometry interferometric synthetic aperture radar (InSAR) dataset (hereafter referred to as the SGI-based method). This is mainly aimed at overcoming the limitation of the traditional multi-temporal InSAR techniques that require SAR data from at least three significantly different imaging geometries to fully retrieve time-series 3-D displacements of mining areas. The SGI-based method first generates the multi-temporal observations of the mining-induced vertical subsidence from the single-geometry InSAR data, using a previously developed method for retrieving 3-D mining-related displacements from a single InSAR pair (SIP). The weighted least-squares solutions of the time series of vertical subsidence are estimated from these generated multi-temporal observations of vertical subsidence. Finally, the time series of horizontal motions in the east and north directions are estimated using the proportional relationship between the horizontal motion and the subsidence gradient of the mining area, on the basis of the SGI-derived time series of vertical subsidence. Seven ascending ALOS PALSAR images from the Datong mining area of China were used to test the proposed SGI-based method. The results suggest that the SGI-based method is effective. The SGI-based method not only extends the SIP-based method to time-series 3-D displacement retrieval from a single-geometry InSAR dataset, but also limits the uncertainty propagation from InSAR-derived deformation to the estimated 3-D displacements.  相似文献   

14.
多时相InSAR(interferometric synthetic aperture radar)技术以其大范围、高时空分辨率、可以获取毫米级甚至亚毫米级形变信号等特点,被广泛应用于大范围地表沉降监测。针对目前时序分析在获取研究区影像和数据预处理上耗时量大的问题,利用LiCSAR(looking inside the continents from space with synthetic aperture radar)产品,采用时序分析新方法 LiCSBAS提高了解算效率。该方法采用整体干涉对质量检验和相位环闭合差,探测二维相位解缠存在的解缠误差,剔除相干性较低的干涉对和大误差像元。为了减弱大气误差的影响,利用通用型大气改正在线服务产品进行大气误差改正,并在此基础上提出了一种形变参数和大气相位联合估计方法。以成都平原地区和西部山区为例,获取2016—2020年共90景影像进行时序分析新方法实验研究。结果表明:(1)提出的联合估计算法在地形起伏明显地区可以有效地抑制大气误差的影响,同时在大气效应不明显的地区也不会错估而引入相位误差;(2)监测的大部分区域表现较为稳定,年际沉降形变速率...  相似文献   

15.
An alternative method for non-negative estimation of variance components   总被引:1,自引:1,他引:0  
A typical problem of estimation principles of variance and covariance components is that they do not produce positive variances in general. This caveat is due, in particular, to a variety of reasons: (1) a badly chosen set of initial variance components, namely initial value problem (IVP), (2) low redundancy in functional model, (3) an improper stochastic model, and (4) data’s possibility of containing outliers. Accordingly, a lot of effort has been made in order to design non-negative estimates of variance components. However, the desires on non-negative and unbiased estimation can seldom be met simultaneously. Likewise, in order to search for a practical non-negative estimator, one has to give up the condition on unbiasedness, which implies that the estimator will be biased. On the other hand, unlike the variance components, the covariance components can be negative, so the methods for obtaining non-negative estimates of variance components are not applicable. This study presents an alternative method to non-negative estimation of variance components such that non-negativity of the variance components is automatically supported. The idea is based upon the use of the functions whose range is the set of all positive real numbers, namely positive-valued functions (PVFs), for unknown variance components in stochastic model instead of using variance components themselves. Using the PVF could eliminate the effect of IVP on the estimation process. This concept is reparameterized on the restricted maximum likelihood with no effect on the unbiasedness of the scheme. The numerical results show the successful estimation of non-negativity estimation of variance components (as positive values) as well as covariance components (as negative or positive values).  相似文献   

16.
Most stochastic modelling techniques neglect the correlations among the raw un-differenced observations when forming the variance–covariance matrix of the Global Navigation Satellite System (GNSS) observations. Some methods were developed to model these correlations. One such method is the Minimum Norm Quadratic Unbiased Estimator (MINQUE). Studies have shown that MINQUE improves ambiguity resolution, and ultimately, the positioning solution in short baselines. However, its effect in cases of processing with longer baselines and on the estimation of zenith wet delay (ZWD) is somewhat unknown. In this paper, a comparison between the impact of neglecting the correlations among the observations using an elevation-angle-dependent model (EADM) and modelling the correlations using MINQUE on height determination and ZWD for medium and long baselines is carried out. The initial testing was carried out across two Australian GNSS stations with a medium-length baseline throughout a three-week campaign. The results showed that using MINQUE did not resolve the coordinate, height and wet delay components as accurately as the EADM. The results were further verified with two long-baseline campaigns whereby EADM was also able to provide better wet delay estimates. The coordinate results were, however, mixed. Overall, the study concluded that the inclusion of the correlations among the observations, in general, do not improve the resolution of the coordinate and wet delay estimates.  相似文献   

17.
基于GPS的InSAR干涉图大气效应校正方法研究   总被引:1,自引:0,他引:1  
李爱国  张诗玉 《测绘科学》2011,36(2):124-126
大气折射延迟是InSAR测量的一个重要误差源,严重影响对干涉图的正确解译,因此必须对其进行削弱或消除,利用GPS连续运行站估计的大气天顶延迟可对干涉图中的大气效应进行校正.但离散的GPS天顶延迟须进行空间插值才能满足InSAR的高分辨率要求.本文基于天津的GPS观测数据,利用Berense、PANDA软件估算了天顶延迟...  相似文献   

18.
Water vapor is both an important component in the atmosphere for the transport of energy and a noise source for space geodetic observations of the Earth's surface, such as from GPS and interferometric SAR (InSAR) measurements. GPS data collected from ground receivers are sensitive to the total amount of water vapor above the antenna and data from continuously operating GPS receivers are routinely used to estimate delays caused by atmospheric water vapor. Using these time series of atmospheric delay, we have estimated the motion of atmospheric water vapor above GPS networks. The motion above each site is determined by comparing the time series from different sites and estimating relative time offsets in these time series. These are then used to determine the velocity field of the atmospheric delays as they move across the network. We have compared the results with similar estimates inferred from geostationary satellite data and found clear correlation on several occasions. Such results can be useful for improving the understanding of the energy transport in the atmosphere, the spatial interpolation of water vapor, and for calibrating InSAR observations for delays caused by water vapor. Electronic Publication  相似文献   

19.
利用环境卫星(Environmental Satellite,Envisat)的升、降轨数据在地震破裂模型约束下获取2007年阿里地震的高质量同震地表三维形变场。首先,对合成孔径雷达(synthetic aperture radar,SAR)影像进行差分干涉处理,得到地震造成的视线向同震地表形变场;然后,以地震破裂模型为约束条件,采用赫尔默特方差分量估计法来解算阿里地震的高质量地表三维同震形变场。结果表明,震中区域最大下沉达约4.7 cm,东西向位移较小,南北向呈挤压趋势。总体上,三维形变的特征表明阿里地震是一个以正倾滑为主兼少量右旋走滑运动的地震事件。  相似文献   

20.
The 3D similarity coordinate transformation with the Gauss–Helmert error model is investigated. The first-order error analysis of an analytical least-squares solution to this problem is developed in detail. While additive errors are assumed in the translation and scale estimates, a 3 × 1 multiplicative error vector is defined to effectively parameterize the rotation matrix estimation error. The propagation of the errors in the coordinate measurements to the errors in the estimated transformation parameters is derived step-by-step, and the formulae for calculating the variance–covariance matrix of the estimated parameters are presented.  相似文献   

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