函数模型约束和随机模型约束对融合解的影响分析.pdfVIP

中国科技论文在线 函数模型约束和随机模型约束对融合解的 影响分析及程序实现# 1,2 1,2 1,2 1,2** 刘志强 ，高井祥 ，姚一飞 ，李增科 5 （1. 中国矿业大学 国土环境与灾害监测国家测绘局重点实验室，徐州 221116 ； 2. 中国矿业大学 江苏省资源环境信息工程重点实验室，徐州 221116 ） 摘要：论文主要研究函数模型约束与随机模型约束对平差结果的影响，并通过MATLAB 语 言编程实现。首先，推导了函数模型与随机模型双约束的参数最小二乘解。围绕有无模型约 10 束对参数解的精度影响，分别讨论了无任何约束、仅含函数模型约束和仅含随机模型约束对 参数解的影响，并与双约束的参数解相比较，得出了约束本身误差将严重影响参数估计的结 论。其次，基于MATLAB 平台编写了双约束的导线网平差和GNSS 数据融合平差算法，并 实现了可视化。最后，利用导线网平差和GNSS 数据融合实例验证了本文的推论。 关键词：函数模型约束；随机模型约束；MATLAB；GNSS 数据融合；算法设计 15 中图分类号：TP288.1 Influence Analysis and Program Realization of Function Model and Stochastic Model Constraints on Fusion Solution LIU Zhiqiang1,2, GAO Jingxiang1,2, YAO Yifei1,2, LI Zengke1,2 20 (1. Key Laboratory for Land Environment and Disaster Monitoring of SBSM,China University of Mining and Technology,Xuzhou 221116,China; 2. Jiangsu Key Laboratory of Resources and Environmental Information Engineering,China University of Mining and Technology,Xuzhou 221116,China) Abstract: The main contents of this thesis is to study the influence of the function model and 25 stochastic model constraints to adjustment result, and programming through the MATLAB platform. First, it introduced least squares parameter estimation constrained by both function model and stochastic model. Then it discussed the influence of different conditions on the parameter solution-without any constraint, constrained by function model or constrained by stochastic model. Meanwhile, it compared with double constrained parameter solution, and 30 obtained the conclusion that the error of the constraint itself will seriously affect the parameter estima