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一种北斗伪距单点定位的整体最小二乘算法

发表时间:2016-01-15  浏览量:1857  下载量:873
全部作者: 马天明,曾繁慧
作者单位: 辽宁工程技术大学测绘与地理科学学院;辽宁工程技术大学理学院
摘 要: 针对目前北斗伪距单点定位普遍采用普通最小二乘算法,只考虑观测方程的常数项误差而忽略了观测方程系数矩阵误差的缺点,提出采用整体最小二乘算法进行伪距单点定位。采用C++语言编写北斗伪距单点定位程序,通过北斗实测数据对所提整体最小二乘算法进行验证,并与普通最小二乘算法定位结果进行比较。结果表明,整体最小二乘算法定位精度更高,应用范围更广。
关 键 词: 应用数学;北斗;伪距单点定位;整体最小二乘
Title: A pseudo-range singe point positioning algorithm for the Beidou navigation system based on total least squares
Author: MA Tianming, ZENG Fanhui
Organization: School of Mapping and Geographical Science, Liaoning Technical University; School of Science, Liaoning Technical University
Abstract: Ordinary least squares is adopted commonly in Beidou pseudo-range single point positioning at present, however, the deviation of constant term is considered and the deviation of coefficient matrix is not considered in ordinary least squares algorithm, total least squares in pseudo-range single point positioning is presented. Single point positioning program of Beidou by using C++ is presented, which is proved by the measured Beidou data. Comparing with that, total least squares algorithm is more accurate in positioning and has wider application.
Key words: applied mathematics; Beidou; pseudo-range single point positioning; total least squares
发表期数: 2016年1月第1期
引用格式: 马天明,曾繁慧. 一种北斗伪距单点定位的整体最小二乘算法[J]. 中国科技论文在线精品论文,2016,9(1):88-92.
 
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2016-03-28 16:09:33
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