有偏估计与LS估计的比较与选择

从假设检验的角度研究测量平差Gauss-Markov模型中有偏估计与LS估计的选择问题。首先在均方误差准则下对目前应用最广泛的2种有偏估计－－岭估计和主成分估计与LS估计进行了比较研究，得到了岭估计、主成分估计优于LS估计的条件；然后运用统计方法对这些条件的成立进行了假设检验；最后通过数值实验说明，在一定显著性水平下当原假设被接受时，说明没有理由不相信采用有偏估计来代替LS估计的合理性，可认为采用有偏估计将对LS估计做出比较有效的改进，当原假设被拒绝时，说明对采用有偏估计的优越性产生了怀疑，此时建议仍采用LS估计。     

复测水准网拟稳抗差解算模型

变形监测网平差的主要方法是秩亏平差法或拟稳平差法。本文基于抗差估计原理，首先推导了秩亏平差模型的抗差解式和拟稳抗差解，并推导了普通秩亏抗差解与拟稳抗差解之间的转换关系。使得拟稳抗差估计的解算简便直观。     

误差方差二次型估计模型的转化

研究一般的回归模型中误差方差的二次型估计的容许性，研究方法是模型的整体转化和局部转化，结果有：（１）二次约束下的线性模型等价于相应的无约束的线性模型。（２）线性（齐次或非齐次）等式约束下的线性模型等价于某个无约束的线性模型。（３）单个非齐次不等式约束下的线性模型等价于某个无约束的线性模型。（４）通过例子证明了多个线性不等式约束的线性模型不能等价于某个无约束的线性模型。（５）某类非齐次二次型估计的容许性等价于相应的齐次二次型估计的容许性     

基于偏差矫正的有偏估计及其在GPS快速定位中的应用

基于偏差矫正的一般理论提出了不适定问题的新的有偏估计。在病态条件下,Gauss-Markov模型参数的最优线性无偏估计,即LS估计是不稳健的,所得估值方差较大,严重偏离真值。因此,文中放弃了对参数估计无偏性的限制,考虑有偏估计的偏差,结合偏差矫正的正则化解法的一般理论提出了一种新的基于偏差矫正的有偏估计;结合岭估计中参数的选择方法确定了替代矩阵。最后通过GPS动态定位算例,验证了新估计的稳定性和有效性。     

附加方位约束的GPS/INS组合系统选权自适应卡尔曼滤波

单天线GPS/INS经典组合模型存在的明显不足是：由于状态参数不仅包含INS的位置、速度误差,而且还包含INS的姿态误差和元件误差,存在观测信息不足,间接可测参数难以准确估计。在深入分析常用GPS/INS组合模型及滤波算法中参数估值的特性基础上,提出从两方面改善这类滤波结果：①在运动条件下的组合观测模型中附加GPS单天线测方位角约束,建立观测值与间接可测参数之间的联系;②将选权自适应卡尔曼滤波方法拓展到GPS/INS滤波中,以提高参数估计的精确性。通过对滤波结果的增益阵、位置差、速度差及姿态估计结果的分析可知,该方法的滤波结果更趋准确、合理。     

Detecting and Enumerating New Building Structures Utilizing Very‐High Resolution Imaged Data and Image Processing

Abstract

Information on the number and type of new building structures is required by urban and transportation planners and the real estate industry. The goal of this paper is to explore the potential of high resolution imagery for meeting public and private sector demands for information on new buildings. The value of 1 m, 5 m, and 10 m panchromatic and 1 m color scanned aerial photography images acquired in 1997 and 1998 for a study area within the City of San Diego, California is assessed for general change detection and building enumeration. Both semi‐automated and interactive change‐detection approaches are evaluated. We demonstrate that interactive, visual‐based approaches appear to be the most accurate (within 1% of actual count) and efficient approach for generating information on the number of new buildings associated with single family residential land use. More automated approaches to detecting and enumerating image microfeatures may be useful as enhancements for visual‐based assessments and may be practical in areas composed mostly of large buildings associated with commercial and industrial land use. The highest accuracy for automated approaches was an undercounting of 11% for residential buildings and overcounting of 20% for those associated with commercial and industrial land use.     

基于非结构化网格的2.5-D直流电阻率自适应有限元数值模拟

2.5-D直流电阻率有限元数值模拟中,模型的剖分及加密主要通过手动实现.另外,采用的单元类型比较规则如矩形单元等,不易实现复杂模型的模拟.为解决上述问题,文中提出了一种自适应有限元算法.算法中采用稳健的后验误差估计来自动预测下一次网格的单元尺寸,直到设定的迭代条件满足为止.另外,采用非结构化三角形单元实现了任意复杂模型的灵活剖分.基于此,利用垂直接触面模型分析和对比了不同自适应策略的效率.通过对比发现,点源附近的单元得到了加密以消除源的奇异性.另外,对于任意一种策略,有限元结果均能最终收敛到精确解.最后,模拟了两个模型：2-D单个异常体模型和2-D地形模型.     

Intelligent fuzzy weighted input estimation method for the multi-story buildings with unknown ground motion acceleration

This paper presents a novel intelligent fuzzy weighted input estimation method which effiviently and robustly estimates the unknown ground motion accelerations. The new input estimation method includes the Kalman Filter (KF) and the recursive least square estimator (RLSE), which is weighted by the fuzzy weighting factor proposed based on the fuzzy logic inference system. By directly synthesizing the Kalman filter with the estimator, this work presents an efficient robust forgetting zone, which is capable of providing a reasonable compromise between the tracking capability and the flexibility against noises. The excellent performace of this inverse method is demonstrated by solving the earthquake-excitation estimation problem, and the proposed algorithm is compared by alternating between the constant and adaptive weighting factors. The results reveal that this method has the properties of better target tracking capability and more effective noise reduction.     

Spatial continuity measures for probabilistic and deterministic geostatistics

Geostatistics has traditionally used a probabilistic framework, one in which expected values or ensemble averages are of primary importance. The less familiar deterministic framework views geostatistical problems in terms of spatial integrals. This paper outlines the two frameworks and examines the issue of which spatial continuity measure, the covarianceC (h) or the variogram (h), is appropriate for each framework. AlthoughC (h) and (h) were defined originally in terms of spatial integrals, the convenience of probabilistic notation made the expected value definitions more common. These now classical expected value definitions entail a linear relationship betweenC (h) and (h); the spatial integral definitions do not. In a probabilistic framework, where available sample information is extrapolated to domains other than the one which was sampled, the expected value definitions are appropriate; furthermore, within a probabilistic framework, reasons exist for preferring the variogram to the covariance function. In a deterministic framework, where available sample information is interpolated within the same domain, the spatial integral definitions are appropriate and no reasons are known for preferring the variogram. A case study on a Wiener-Levy process demonstrates differences between the two frameworks and shows that, for most estimation problems, the deterministic viewpoint is more appropriate. Several case studies on real data sets reveal that the sample covariance function reflects the character of spatial continuity better than the sample variogram. From both theoretical and practical considerations, clearly for most geostatistical problems, direct estimation of the covariance is better than the traditional variogram approach.This paper was presented at MGUS 87 Conference, Redwood City, California, 14 April 1987.     

选取岭参数的一个新方法

当法方程的系数阵呈病态时,平差参数的最小二乘估计不再是一个良好好估计。为改进最小二乘估计,许多学者提出众多的有偏估计方法,其中影响最大的是岭估计和主要估计。