最小二乘直线函数的特性分析

证明了最小二乘直线函数是一种严格的凸函数。F(a,b)=∑(y-ax_i-b)~2是一个椭圆抛物面。a=[n∑x_iy_i-∑x_i∑y_i]/[n∑x_i^2-(∑x_i)~2]和b=[∑x_i^2∑y_i-∑x_i∑x_i∑y_i]/[n∑x_i^2-(∑x_i)~2]仅表示极值点。a=∑x_iy_i/∑x_i和 b=[∑x_i^2∑y_i-∑x_i∑x_iy_i]/[n∑x_i^2]在某些情况下可以是极值点,但不是在每种情况下都是极值点。     

光机热集成分析中数据转换接口的研究

光机热集成分析中的数据转换接口是实现光、机、热各分析软件间数据有效传递的重要手段。Zernike多项式的优点决定了它作为各分析软件间的数据接口工具是非常方便和成熟的。以一种数据处理算法和最小二乘法为Zernike多项式拟合的基础,编制了数据转换接口,实现了分析模块间数据的转换,并在某空间遥感器主镜系统的光机热集成分析中得到应用。     

观测数据野值剔除的TBS-LS逼近方法

提出了以最小二乘逼近方法为基础的数据野值判别与剔除算法。利用TBS（三角B样条）曲线同时具有局部性和整体性的优越性构造最小二乘拟合算法,并结合偏度分析与残量分析误差方法,在给定范数意义下的评价系统中,可以得到TBS-LS（最小二乘三角B样条）拟合曲线,从而可以更好地识别并剔除野值。最后给出算法以及主要结果,通过实例说明方法的有效性。     

红外调焦仪及其装调技术

介绍某型号红外光学系统装配专用红外调焦仪的结构与工作原理。着重论述其组成部分的关键装调技术、要求与方法以及有关示意图。考核表明，该红外调焦仪的性能和装配精度可满足要求。     

Accuracy analysis of GNSS-IR snow depth inversion algorithms

In recent years, with the continuous development of Global Navigation Satellite System (GNSS), it has been applied not only to navigation and positioning, but also to Earth surface environment monitoring. At present, when performing GNSS-IR (GNSS Interferometric Reflectometry) snow depth inversion, Lomb-Scargle Periodogram (LSP) spectrum analysis is mainly used to calculate the vertical height from the antenna phase center to the reflection surface. However, it has the problem of low identification of power spectrum analysis, which may lead to frequency leakage. Therefore, Fast Fourier Transform (FFT) spectrum analysis and Nonlinear Least Square Fitting (NLSF) are introduced to calculate the vertical height in this paper. The GNSS-IR snow depth inversion experiment is carried out by using the observation data of P351 station in PBO (Plate Boundary Observatory) network of the United States from 2013 to 2016. Three algorithms are used to invert the snow depth and compared with the actual snow depth provided by the station 490 in the SNOTEL network. The observations data of L1 and L2 bands are respectively used to find the optimal combination between different algorithms further to improve the accuracy of GNSS-IR snow depth inversion. For L1 band, different snow depths correspond to different optimal algorithms. When the snow depth is less than 0.8 m, the inversion accuracy of NLSF algorithm is the highest. When the snow depth is greater than 0.8 m, the inversion accuracy of FFT algorithm is higher. Therefore, according to the different snow depth, a combined algorithm of NLSF + FFT is proposed for GNSS-IR snow depth inversion. Compared with the traditional LSP algorithm, the inversion accuracy of the combined algorithm is improved by 10%. For L2 band data, the results show that the accuracy of snow depth inversion of various algorithms do not change with the variations of snow depth. Among the three single algorithms, the inversion accuracy of FFT algorithm is better than that of LSP and NLSF algorithms.     

Correction of B2bot for NeQuick during low solar activity at Hainan station

This work is a continuation of the previous article and it focuses on low solar activity and modeling effort. NeQuick model uses Epstein layer formalism to model each part of the profile. We study the diurnal and seasonal variations of B2_bot, ΔB2 (B2_best − B2_NeQuick2) and R (B2_best/B2_{NeQuick 2}) at Hainan station during low solar activity. The results show it is possible to improve the B2_bot parameter of the NeQuick model at that region during low solar activity. Then, we use a function ?(t) with LT in different seasons to correct the B2_bot formula of NeQuick 2. The correction shows that (1) By the correction formula, the B2_bot of NeQuick is improved. The maximum standard deviation is improved for 9 km. (2) The correction formula is more effective in summer than in equinox and winter and performs better during early morning hours than during the rest of the day.     

两种命中误差指标之间关系的研究

针对两种命中误差指标在轴向偏差独立同分布情形下的关系进行了推导,并运用仿真试验进行验证,说明了推导的正确性。对独立非同分布以及非独立非同分布的一般情形进行了进一步的拟合分析,得到了两种命中误差指标关系的拟合多项式。     

增强型轨道列表星历及其在北斗混合星座中的应用

为了改进北斗卫星数小时内的力模型精度,分析日月引力摄动和光压摄动的短期变化特性,提出基于二次多项式逼近日月引力摄动的15参数增强型轨道列表星历模型。利用该星历模型对北斗的5 GEO + 5 IGSO + 4 MEO混合星座进行了为期11天的星历拟合实验。结果表明,三类卫星在非地影期的2小时星历拟合精度优于1 cm。增强型轨道列表星历模型没有轨道根数的潜在奇点问题,能够为我国北斗星座和星基增强系统提供更多可行的星历模型选择。     

用计算机进行国土卫星图象几何校正的方法研究

文章介绍了在主机为VAX11-750的S600图象处理系统上,如何提高畸变图象几何精处理的速度以及应用软件的开发;重点介绍了大地控制点引进和控制点文件形成、拟合多项式系数的求解及网络法高速再采样的三个主要软件模块.     

参考系选择对Kepler广播星历参数拟合精度的影响

通过对MEO、IGSO、GEO三类导航卫星广播星历的开普勒轨道根数拟合方法及其拟合精度的分析研究,得出结论:开普勒轨道根数拟合导航卫星广播星历的方法,能很好吸收坐标变换过程中岁差、章动、极移、地球自转等因素对卫星星历拟合精度的影响。