Helmert方差分量估计严密公式与简化公式等价性的证明

在分析了Helmert方差分量估计严密公式与简化公式迭代收敛结果一些统计性质的基础上,导出了关于收敛结果共同的求解方程,从理论上证明了两种结果的等价性,为使用简化公式提供了依据。     

Helmert方差估计在桥梁跨江导线网中的应用

导线网在桥梁施工控制网的加密测量中得到广泛使用,由于存在两类不同性质的观测值以及导线边长度不等的问题,平差时应当考虑边角观测值权的统一和不同观测边权的合理取定。本文结合某特大型桥梁加密控制测量的实际情况,对跨江导线网中边长相差较大等问题,采用Helmert方差估计方法分析平差过程中权的合理取定问题,明显地提高了平差结果的精度。     

基于MODIS影像的超分辨率重建

针对4幅多时相250 m分辨率的MODIS影像,利用空间域中的超分辨率重建模型,进行了影像的匹配和运动参数估计,重建出采样率提高2倍的高分辨率影像。     

空间测边交会的解法、精度估算和最佳图形探讨

本文介绍空间测边交会的三种解法。利用矩阵迹的性质,巧妙推出了实用的精度估算式,并由此得出空间测边交会的最佳图形为交会角皆是90°的四面体的结论。     

自适应Lp估计及其在SLR数据预处理中的应用

本文简要介绍了自适应Ｌｐ估计的有关理论和求解方法，并对ＳＬＲ数据的测量误差作了统计分析。发现ＳＬＲ数据的测量误差服从ｐ值不定的ｐ范分布。本文ＳＬＲ数据预处理实例表明自适应Ｌｐ估计能给出比ＬＳ估计更为稳健有效的拟合参数。当观测值粗差高达６６％时，自适应Ｌｐ估计仍能给出可靠的拟合参数，效果明显优于传统的ＬＳ估计。     

Robust估计的算法优化

本文分析了Ｒｏｂｕｓｔ估计收敛慢的原因，提出以最小二乘平差的残差（Ｖ）为初始信息，用Ｌ１估计的权函数所计算的权力初始权，根据迭代计算的残差的大小，及残差的变化所提供的信息，构造出加速收敛的算法，计算结果表明，较之一般的方法，迭代次数显著减少，辨识杠杆点含粗差的能力有较大提高，即搜索粗差的效率有很大提高。     

Indoor localization for pedestrians with real-time capability using multi-sensor smartphones

ABSTRACT

The localization of persons or objects usually refers to a position determined in a spatial reference system. Outdoors, this is usually accomplished with Global Navigation Satellite Systems (GNSS). However, the automatic positioning of people in GNSS-free environments, especially inside of buildings (indoors) poses a huge challenge. Indoors, satellite signals are attenuated, shielded or reflected by building components (e.g. walls or ceilings). For selected applications, the automatic indoor positioning is possible based on different technologies (e.g. WiFi, RFID, or UWB). However, a standard solution is still not available. Many indoor positioning systems are only suitable for specific applications or are deployed under certain conditions, e.g. additional infrastructures or sensor technologies. Smartphones, as popular cost-effective multi-sensor systems, is a promising indoor localization platform for the mass-market and is increasingly coming into focus. Today’s devices are equipped with a variety of sensors that can be used for indoor positioning. In this contribution, an approach to smartphone-based pedestrian indoor localization is presented. The novelty of this approach refers to a holistic, real-time pedestrian localization inside of buildings based on multi-sensor smartphones and easy-to-install local positioning systems. For this purpose, the barometric altitude is estimated in order to derive the floor on which the user is located. The 2D position is determined subsequently using the principle of pedestrian dead reckoning based on user's movements extracted from the smartphone sensors. In order to minimize the strong error accumulation in the localization caused by various sensor errors, additional information is integrated into the position estimation. The building model is used to identify permissible (e.g. rooms, passageways) and impermissible (e.g. walls) building areas for the pedestrian. Several technologies contributing to higher precision and robustness are also included. For the fusion of different linear and non-linear data, an advanced algorithm based on the Sequential Monte Carlo method is presented.     

略论珠穆朗玛峰重力值的推估

仅根据邻近点的重力与高程资料,采用了4种有关公式,有效地推估了珠穆朗玛峰顶上的重力值,该值为(976970±7)×10^-5m·s^-2。这一结果为精确推求珠峰大地水准面和正高提供了必要的数据     

定位参数抗差估计的无偏性

根据抗差估计中误差的最基本假设—对称分布 ,考虑到ρ函数的条件及把反对称估计作为抗差估计计算迭代的初始值 ,验证了定位参数的抗差估计值也一定是反对称估计 ,满足无偏性条件 ,得到定位参数的抗差估计是无偏估计。     

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