共查询到19条相似文献,搜索用时 156 毫秒
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分析了构建速度场的统计模型和函数模型法,提出利用两种模型逼近原始观测速度的综合逼近法,以减少剩余误差.计算和比较了各种方法,结果显示,综合法优于单独利用统计模型和函数模型法. 相似文献
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拟合推估在GPS高程解算中的应用 总被引:24,自引:1,他引:24
函数模型逼近和统计模型逼近是大地测量平差中两种重要的方法。前者对趋势性和规律性变化能数的求解较为理想,而后者对随机变化参数的逼近比较合适,首先叙述和分析了目前在GPS高程异常解算中的几种方法的原理及优缺点,然后对最小二乘拟合推估在逼近未知点高程异常方面的应用进行了讨论,并介绍了拟合推估的一种新解法。 相似文献
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海洋重力场特征参数在地球重力场逼近计算和海上测量优化设计中具有重要的应用价值。基于卫星测高重力在海域具有覆盖范围广且分布均匀的独特优势,提出了利用最新卫星测高重力数据集开展海洋重力场特征统计模型计算和分析的研究方案,给出了代表误差和协方差函数模型参数的计算公式,定义并研究了海洋广义布格重力异常的变化特征,提出了等精度和非等精度拟合经验协方差函数的计算模型。利用中国近海及西太平洋海区超过50万个5'×5'方块的1'×1'网格卫星测高重力异常数据,首次计算得到一组有代表性的中国周边海域重力场特征统计模型参数,较好地揭示了海洋重力场有别于陆地重力场的变化特征,利用海面船测重力数据对计算结果进行了可靠性检核,提出了相应的模型参数修正方案和使用建议。 相似文献
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由于重力观测网点位分布不均匀,密度不够,在精细刻画区域重力场变化时受到很大限制,因此需采用合理的插值算法。文中介绍Kriging插值算法和变异函数理论模型的基础上,结合陕西地区2011—2012年离散重力变化数据,利用最小二乘法得到各个理论变异函数模型的拟合参数,并将实验变异函数模型用于Kriging插值算法,同时综合考虑交叉验证精度统计、插值精度统计结果,以此来研究Kriging插值算法的适用性,研究结果表明:基于最小二乘法获得的球形模型、指数模型拟合参数精度高,高斯模型、对数模型精度最差;基于球形模型、指数模型的实验变异函数用于Kriging插值算法得到的插值结果精度最高、图像平滑自然、异常区明显,是一种适合陕西地区重力离散数据进行插值计算的有效算法。 相似文献
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中国地壳运动整体速度场模型的建立方法研究 总被引:10,自引:1,他引:10
利用所能得到的468点的高精度GPS速度场,采用计算欧拉矢量法和多面函数拟合法分别在细分块体和不细分块体的情况下建立了中国地壳运动整体速度场模型,并对其结果进行了分析。结果表明,在对块体介质刚弹性的认定不明确时,多面函数拟合法比计算欧拉矢量法更适合中国平面地壳运动速度场模型的建立。 相似文献
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王新洲 《武汉大学学报(信息科学版)》1999,24(1):07
提出了非线性模型参数估计的直接解法。该方法不仅不需迭代,而且由于顾及了二次项和三次项的影响,参数估值的精度优于传统的线性近似时参数估值的精度,且易应用传统的精度评定理论进行精度评定。 相似文献
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王新洲 《武汉大学学报(信息科学版)》1997,(2)
由于不同的非线性模型具有不同的非线性强度,使得一些非线性模型可以线性近似,而另一些则不能。本文介绍度量非线性强度的方法,提出判断非线性模型能否线性近似的数值标准——容许曲率 相似文献
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Approximations to composite GPS protection levels for aircraft precision approach and landing 总被引:1,自引:1,他引:0
Persistent pseudorange biases constitute a serious potential integrity problem for differential GPS systems used in aircraft precision approach and landing. Various approaches to solve this problem are documented in the literature, including composite protection levels (PLs) that incorporate an explicit bias term in their mathematical expressions. A statistical characterization for such a PL was previously presented in this journal. Modeling GPS error in the position domain as multivariate normal with nonzero mean resulted in the definition of vertical, horizontal, and radial composite PLs, termed VPLc, HPLc, and RPLc, respectively. In the present effort, approximations to these computationally intensive PLs are presented for possible use in real time. Two of these are shown to be over-bounding approximations to exact quantities VPLc and HPLc. An approximation to RPLc is also presented, as well as a method of quantitative evaluation for each of these composite PLs. Monte-Carlo simulations for a single GPS measurement epoch are then developed to illustrate the exact PLs and their approximations and demonstrate that the approximations to VPLc and HPLc over-bound the exact PLs. The approximation to RPLc is shown to be far simpler computationally than the exact PL, but demonstrating that the approximation is an over-bound is left to future research. This paper makes available to the reader both the methods and the Matlab? simulation code needed to evaluate computationally efficient PL approximations. Thus, it fosters further research into the use of GPS in safety critical applications. 相似文献
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Adjustment has been based on the assumption that random errors of measurements are added to functional models. In geodetic practice, we know that accuracy formulae of modern geodetic measurements often consist of two parts: one proportional to the measured quantity and the other constant. From the statistical point of view, such measurements are of mixed multiplicative and additive random errors. However, almost no adjustment has been developed to strictly address geodetic data contaminated by mixed multiplicative and additive random errors from the statistical point of view. We systematically develop adjustment methods for geodetic data contaminated with multiplicative and additive errors. More precisely, we discuss the ordinary least squares (LS) and weighted LS methods and extend the bias-corrected weighted LS method of Xu and Shimada (Commun Stat B29:83–96, 2000) to the case of mixed multiplicative and additive random errors. The first order approximation of accuracy for all these three methods is derived. We derive the biases of weighted LS estimates. The three methods are then demonstrated and compared with a synthetic example of surface interpolation. The bias-corrected weighted LS estimate is unbiased up to the second order approximation and is of the best accuracy. Although the LS method can warrant an unbiased estimate for a linear model with multiplicative and additive errors, it is less accurate and always produces a very poor estimate of the variance of unit weight. 相似文献
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王新洲 《武汉大学学报(信息科学版)》2000,25(4):358-361
导出了非线性模型平差中单位权方差的严密估计公式 ,证明了线性模型平差中单位权方差的估计公式是其特例 ,给出了在实际工作中用近似公式代替严密公式的理论根据 相似文献
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T. A. Khlebnikova 《地理信息系统科学与遥感》2013,50(1):43-48
The author feels that the present methods for the determination of relative orientation elements on aerial photographs are not generally effective. She has conducted an experimental investigation and obtained a high degree of accuracy in the determination of these elements using a new algorithm and successive approximation. The author presents a general solution to the problem of relative orientation where approximate values of unknowns are no longer needed. Translated from: Geodeziya i kartografiya, 1983, No. 11, pp. 29-32. 相似文献