基于正则化的GPS/BDS单频单历元模糊度固定  

Single-Frequency Single-Epoch Ambiguity Resolution for Combined GPS/BDS Based on Regularization

作　　者：王静[1] 赵兴旺[1] 刘超[1] 张翠英[1] 

机构地区：[1]安徽理工大学测绘学院,淮南市舜耕中路168号232001

出　　处：《大地测量与地球动力学》2016年第12期1083-1087,共5页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(41404004;41474026);安徽省自然科学基金(1408085QD72);安徽省博士后基金(2015B044);安徽理工大学青年基金(QN201512)~~

摘　　要：针对单频单历元模糊度固定中的秩亏问题,给出一种基于双差载波系数阵奇异值分解的正则化方法。通过对坐标改正参数进行约束,改善法矩阵的病态性,并结合LAMBDA方法实现单历元模糊度固定。采用长度不同的两组GPS/BDS基线数据进行单频单历元模糊度解算,并与选权拟合法比较。结果表明,采用该方法,5.8m基线BDS系统模糊度解算成功率提高17.61%,2.34km基线GPS、BDS及GPS/BDS模糊度解算成功率分别提高4.67%、3.56%和3.63%。当截止高度角为10°时,E、N方向定位精度达到mm级,U方向达到mm至cm级。For the issue of rank deficiency in single-frequency single-epoch ambiguity resolution,a regularization matrix constraining coordinate correction parameters is constructed by singular value decomposition on coefficient matrix of double-differenced carrier phase observation equations,in order to improve the ill-condition of normal equation.Single-epoch ambiguity fixed solutions are then acquired using the LAMBDA method.Compared with fitting method of weights,the results indicate that for a 5.8mbaseline,the ambiguity resolution success rate of BDS is increased by 17.61%,while the GPS,BDS and GPS/BDS of 2.34 km are increased by 4.67%,3.56%and 3.63%,respectively.In addition,positioning precision in the East and North reaches the millimeter and millimeter to centimeter levels in Up,when the cut-off elevation angle of satellites is taken as 10°.

关 键 词：单频单历元 正则化 GPS/BDS 模糊度固定 

分 类 号：P228[天文地球—大地测量学与测量工程]