GNSS模糊度整数估计方法图形可视化软件设计与应用分析  

GNSS ambiguity integer estimation methods graph visualization software design and application analysis

作　　者：吴汤婷 刘丽晶 赵宝贵 卢立果 WU Tangting;LIU Lijing;ZHAO Baogui;LU Liguo(Key Laboratory for Digital Land and Resources of Jiangxi Province,East China University of Technology,Nanchang 330013,China;Faculty of Geomatics,East China University of Technology,Nanchang 330013,China)

机构地区：[1]东华理工大学江西省数字国土重点实验室,江西南昌330013 [2]东华理工大学测绘工程学院,江西南昌330013

出　　处：《全球定位系统》2020年第5期20-26,共7页Gnss World of China

基　　金：国家自然科学基金(41804020);江西省自然科学基金(20202BAB212010);武汉大学地球空间环境与大地测量教育部重点实验室开放基金(19-01-10);东华理工大学江西省数字国土重点实验室开放研究基金(DLLJ202010,DLLJ202014);东华理工大学博士科研启动基金(DHBK2019182)。

摘　　要：模糊度快速准确估计是全球卫星导航系统(GNSS)高精度定位的关键,整数取整、序贯取整和整数最小二乘估计是模糊度常用的三类整数估计方法.尽管从程序上较易实现三类估计方法,但是如何根据模糊度浮点解和精度构建整数估值的几何图形却缺乏较多的研究,不利于我们对整数估计过程的直观认知.因此,本文从理论上分别给出三类估计方法的一般形式,然后基于MATLAB GUI设计了一套三类估计方法二维几何图形构建的可视化分析软件,其功能包括三类估计方法的归整域构建、映射图构建和蒙特卡洛模拟及成功率计算.实验测试结果表明,本文设计的软件能够从几何图形角度较直观地表达出三类整数估计过程及其解算性能.The key of high-precision GNSS positioning is fast and accurate ambiguity estimation.There are three kinds of integer estimation methods which are commonly used for ambiguity estimation,including Integer Rounding,Integer Bootstrapping and Integer Least-Squares.Although it is easy to realize the three kinds of estimation methods,there is little research on how to construct the geometry of integer estimate values based on the ambiguity float solution and precision,which is not conducive for us to intuitively understand the process of integer estimation.Therefore,this paper theoretically gives the general forms of the three kinds of estimation methods,and then designs a set of visualization analysis software for the construction of two-dimensional geometric figures based on MATLAB GUI.The functions of the software include pull-in region construction,map graph construction,Monte Carlo simulation and success rate calculation.The experimental results show that the software designed in this paper can intuitively express the processes of the three kinds of integer estimation and its resolution performance in terms of geometry.

关 键 词：GNSS 整周模糊度解算 整数估计 MATLAB GUI 几何图形构建 

分 类 号：P228.4[天文地球—大地测量学与测量工程]