Best prediction in linear models with mixed integer/real unknowns: theory and application

In this contribution, we extend the existing theory of minimum mean squared error prediction (best prediction). This extention is motivated by the desire to be able to deal with models in which the parameter vectors have real-valued and/or integer-valued entries. New classes of predictors are introduced, based on the principle of equivariance. Equivariant prediction is developed for the real-parameter case, the integer-parameter case, and for the mixed integer/real case. The best predictors within these classes are identified, and they are shown to have a better performance than best linear (unbiased) prediction. This holds true for the mean squared error performance, as well as for the error variance performance. We show that, in the context of linear model prediction, best predictors and best estimators come in pairs. We take advantage of this property by also identifying the corresponding best estimators. All of the best equivariant estimators are shown to have a better precision than the best linear unbiased estimator. Although no restrictions are placed on the probability distributions of the random vectors, the Gaussian case is derived separately. The best predictors are also compared with least-squares predictors, in particular with the integer-based least-squares predictor introduced in Teunissen (J Geodesy, in press, 2006).     

1∶10000数字线划图(DLG)的生产方法浅析

针对1∶10000数字线划图的生产与更新过程中出现的劳动强度大、制图数据和空间数据两张皮作业、数据的反复修改等问题,通过对生产技术方案的改进和生产流程的改造,提出了一体化生产与更新的技术方案并付诸生产实践,解决了生产作业中存在的以上问题并取得了良好的效果。对新方案的工艺流程和实现方法作了阐述。     

GIS技术在无线电波场强分析中的应用研究

无线电波场强分析在广播电视台站规划中是一项重要的工作,采用传统的电波传播模型进行场强预测时,相关的计算大多依据纸质地图用手工进行,工作强度高,结果精确性低。本文结合地理信息系统(GIS)的空间数据管理、数字地形分析等技术,构建台站与发射机实体对象,基于地理空间信息环境实现了典型电波传播场强分析模型,提高了场强计算的效率和空间位置精度,同时将人口分布信息应用到模型中,增强了台站规划的科学性;最后讨论了GIS技术在电波传播模型中进一步应用的前景。     

基于Oracle Spatial的多元重力场信息数据库的设计与应用

随着地球重力场信息多元化的发展及其应用领域越来越广,科学高效的管理和应用重力场信息数据就显得尤为重要。文中介绍了基于Oracle Spatial技术设计与构建的重力场信息数据库的结构框架,分析了存储数据信息的种类、属性及特点,研究了数据的存储方式。在多元化重力场数据与基础地图数据统一管理的基础上,初步实现了多元化重力场信息的存储、查询、计算、绘图及显示等功能。     

图根支导线测角中误差计算公式之讨论

本文结合实例讨论了小地区平面控制测量中多条图根支导线测角中误差m角平的三种计算方法,其中方法二全面考虑多条图根支导线的测量误差,其计算测角中误差m角平的公式也是最值得推广的。按照方法二可计算出各条图根支导线的测站点圆周角闭合差是否超过±40″,各条支导线的角度闭合差fβj是否超过40 n1″,测角中误差m角平是否超过21.2″,由此可以判断测角精度是否合格,在测量工作中具有一定的实用性。     

地壳运动速度场插值方法研究

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。     

成都地区大气平均温度建模及其在GPS/PWV计算中的应用研究

地基GPS气象学的关键技术是在于通过垂直方向上GPS信号的湿分量延迟值来确定大气可降水量-PWV,而这两个物理量间进行转换时需要用到一个关键性的参数——大气加权平均温度。本文首先讨论了估算加权平均温度的几种方法,然后利用成都地区2005年全年的大气探空数据,采用回归分析方法,建立了适合成都地区的大气加权平均温度模型,精度为±2.21K。最后将该公式应用到成都地区PWV的计算中,得到了非常理想的效果。     

Modeling errors in upward continuation for INS gravity compensation

Accurate upward continuation of gravity anomalies supports future precision, free-inertial navigation systems, since the latter cannot by themselves sense the gravitational field and thus require appropriate gravity compensation. This compensation is in the form of horizontal gravity components. An analysis of the model errors in upward continuation using derivatives of the standard Pizzetti integral solution (spherical approximation) shows that discretization of the data and truncation of the integral are the major sources of error in the predicted horizontal components of the gravity disturbance. The irregular shape of the data boundary, even the relatively rough topography of a simulated mountainous region, has only secondary effect, except when the data resolution is very high (small discretization error). Other errors due to spherical approximation are even less important. The analysis excluded all measurement errors in the gravity anomaly data in order to quantify just the model errors. Based on a consistent gravity field/topographic surface simulation, upward continuation errors in the derivatives of the Pizzetti integral to mean altitudes of about 3,000 and 1,500 m above the mean surface ranged from less than 1 mGal (standard deviation) to less than 2 mGal (standard deviation), respectively, in the case of 2 arcmin data resolution. Least-squares collocation performs better than this, but may require significantly greater computational resources.     

CA-AR模型在人口空间场属性变化模拟中的应用

本文结合CA(cellular automata)和AR(auto-regression)提出模拟人口空间场属性变化的CA-AR模型,以1991～2006年成都市各区、县市的人口统计数据和成都市行政区划图为基础,将行政单元转化为单元网格,分别建立成都市主城区各单元格的CA-AR模型。结果显示,模拟结果的绝对误差和相对误差都较小,模拟精度较高,模型的显著性水平都比较高,说明CA-AR模型用于模拟人口空间场的人口数量变化是可行的。     

融合多尺度视网膜图像增强的动态云检测

云检测是气象卫星各类定量遥感产品的基础,无论是以云图为基础的天气分析还是以去云为前提的各类大气和地表参数反演、沙尘火情等灾害检测,都需要对遥感影像中的云进行准确识别,尤其是薄云和云边缘等细节识别。针对静止气象卫星(以Himawari-8为例)精细化云检测,本文提出了一种基于多尺度视网膜图像增强的动态云检测算法。该算法基于云层与背景信息辐射特征不同的原理,构建可见光和红外波段的晴空辐射背景场,通过多尺度图像增强和最大类间差方法对辐射差值进行云细节信息的增强和提取。利用2021-2022年的75景MODIS云检测产品作为验证数据进行算法精度验证,整体上算法精度达到91.13%,召回率为94.02%,精确率为86.71%,有较强的适用性和稳健性,且已经较好地支撑了近两年的定量遥感产品业务化应用。