观测误差

Study on application and simulation of Kalman filter technology in SINS Because Kalman filter some merits, such as provided a fast and accurate method for SINS, adopting it to do initial alignment in this paper. The Kalman filter theory is introduced and the dynamic error vector equation of the initial alignment is derived at the first. Using velocity error as exterior value of observation, maneuverable characteristic that is influenced with system's observability and its degree is studied at length by do amount of simulations and experiences.

首先介绍了卡尔曼滤波理论及相关技术，建立了系统卡尔曼滤波的状态方程和观测方程；首先采用速度误差作为观测值，详尽的研究了系统机动特性对可观测性和可观测度的影响，并做了大量仿真实验：通过对滤波原理的分析研究了影响的原因；分别选用加速度计输出误差和转台输出姿态角误差作为外部观测值，推导建立它们的观测模型，并通过仿真证明了分析结论的正确性。

The following conclusions have been made in this paper.(1) Based on CO_2 flux data of eddy covariance, variation characteristics of gross primary productivity in four flux observation stations were studied, which are an alpine meadow, an alpine shrub meadow, a swamp alpine meadow and a steppe alpine meadow at Dongxiong. The results show that photosynthetic capacity of the alpine meadow is the highest, and the annual total GPP is 652.2g C/m~2. Daily-differencing approach is used to analyze the random error of CO_2 fluxes measurements. The results show that the distribution of random error follows more closely follows a double-exponential, rather than a normal distribution, capturing the high peak and thick tail, and the random error varies with environment variables, which violates the assumptions for the ordinary least squares fitting with normality and homoscedasticity, consequently, we introduce maximum likelihood method for parameter optimization.

本文主要在以下几个方面开展工作并获得了一些认知和结论：(1)通过分析样带区域内高寒草甸、高寒灌丛、沼泽化湿地和草原化高寒草甸四个通量观测站点草地生态系统总初级生产力变化特征，研究结果表明HBBT矮嵩草草甸生态系统植被光合作用能力较强，年GPP总量为652.2 gC/m~2，明显高于其他三种生态系统；通过利用"单塔日变化法"获得四站点通量观测数据随机误差，结果表明通量观测随机误差概率分布呈现尖峰厚尾的特征，与正态分布相比，更服从双边指数分布，进一步分析表明通量观测随机误差随环境变量(风速、温度和光合有效辐射)的变化而变化，这违背了普通最小二乘法进行生态过程模型参数优化正态分布且误差同质的假设，因此本研究中引入最大似然法进行生态过程模型参数优化。

It shows by theory and simulation that the location precision of the improved and conventional Gauss-Newton algorithm is equivalent but the location precision of the rear two algorithms is baddish under the same condition, i.e., the same measurement error and the same base-stations for location.

理论分析与仿真结果表明，在相同的观测误差和定位基站情况下，改进的和常规的Gauss-Newton迭代算法的定位精度相当，而相交圆弦线方法和最小二乘估计方法定位精度较低。

This paper discusses some application cases of the error propagation law by the examples of trigonometrical survey, and presents that not only sum function and numeral multipling function in which there is only one independent observed value but also more complex functions which are equal in mathematics are not opposite in the process of error propagation according to the error propagation law.

1引言本文以三角测量为例，对误差传播定律一些应用问题进行了讨论，指出当只有一个独立的观测值时，和函数与倍数函数运用误差传播定律不会出现悖论；如果在测量工作中有多余的直接观测值，就需用平差后的间接观测值按协方差传播律来计算，这样数学中相等的函数关系才能得到同样的函

Theoretical analysis shows that the observation error converges to zero.

理论分析证明观测器的观测误差收敛到零。

In many fields, such as society, economy, business and physical science, factor analysis models is applied in the multi-index system of these fields, but factor analysis models and theory is not complete, which cumbers the application and development of factor analysis.

摘要本文应用因子分析模型L及其解，求出了经典因子分析模型中公因子载荷、公因子、特殊因子的精确解，解决了经典因子分析模型和理论存在的9个问题，进一步，指出了经典因子分析模型及其解根本的局限性问题：公因子解没有排除观测误差的干扰，不能达到降维的目的等。

The result shows that the accuracy of estimates is significantly improved with this regularized algorithm.

结果表明：采用的设计矩阵和常数项向量都含有观测误差时，该算法能明显改善估值的精度。

Finally, in additional to the comparison of results derived by PPP and DGPS, they were all compared to Anping tide gauge records as well. The aim of this study is the analysis of height variations provided by different methodologies. Comparing to Anping tide gauge records, the differences in height variations can achieve 4.5 cm with DGPS; 6 cm with final product; 10 cm with rapid product; 25 cm with ultra-rapid product; 1~2 m with ultra-rapid product.

实验中也搜集了安平潮位站的潮位资料，故也将此资料与GPS浮标高程方向定位成果进行比较，而研究中将著重於高程变化量之分析，假设潮位仪观测海水面高程变化量为参考解，由实验结果可发现差分相对定位椭球高变化量均方根误差之平均值约4.5公分；使用最终产品时椭球高变化量均方根误差之平均值可以达到6公分以内；使用快速产品时椭球高变化量均方根误差之平均值可以达到10公分以内；使用超快速产品观测部分於观测环境理想时椭球高变化量均方根误差之平均值可以达到25公分左右；使用超快速产品预估部分时椭球高变化量均方根误差之平均值约1~2公尺。

In this study, six campaigns around Anping tide gauge, Tainan, were successfully performed and the collected GPS buoy data were processed with four types of precise ephemeris provided by IGS, including final product, rapid product, ultra-rapid product and ultra-rapid product with the use of PPP technique. Comparing the PPP results with DGPS, the differences reach 3~5 cm in the horizontal and 10 cm in the vertical with final product; 6~8 cm in the horizontal and 15 cm in the vertical with rapid product; 15~20 cm in the horizontal and 30~40 cm in the vertical with ultra-rapid product; 2~3 m in the horizontal and 3~4 m in the vertical with ultra-rapid product. In addition, the collected data were also processed by DGPS techniques using different reference stations to analyze the effect of various baselines. The results show that accuracy degrades when the baselines increase.

本研究在台南安平潮位站旁进行6次GPS浮标施测，首先利用与GPS浮标距离不同之GPS参考主站来进行差分定位，分析基线距离对GPS浮标定位成果的影响，由实验结果可得出基线越长则定位准确度越低；再以IGS提供之最终产品、快速产品、超快速产品(Ultra-Rapid product)之观测部分observed half、超快速产品(Ultra-Rapid product)之预估部分四种不同发布延迟时间的精密星历与精密时表改正资料对GPS浮标进行精密单点定位解算，与传统差分相对定位方法定位结果进行比较后，得出使用最终产品之平面方向均方根误差(Root Mean Square Error， RMSE)可达3~5公分，而高程方向均方根误差可达10公分；快速产品之平面方向均方根误差可达6~8公分，而高程方向均方根误差可达15公分；超快速产品观测部分之平面方向均方根误差可达15~20公分，而高程方向均方根误差可达30~40公分；超快速产品预估部分之平面方向均方根误差可达2~3公尺，而高程方向均方根误差可达3~4公尺。

These observational errors and treater-subject interactions resulted in erroneous post hoc conclusions.

这些观测误差和处理者的主观性互相作用，从而导致了错误的结论。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。