一种北斗伪距单点定位的加权最小二乘(WLS)快速算法  

A fast pseudo-range single point positioning algorithm for the Beidou navigation system based on weighted least squares

作　　者：李春华[1] 蔡成林[1] 邓克群 徐李冰 

机构地区：[1]桂林电子科技大学信息与通信学院,广西桂林541004 [2]桂林电子科技大学电子工程与自动化学院,广西桂林541004 [3]桂林电子科技大学计算机科学与工程学院,广西桂林541004

出　　处：《重庆邮电大学学报（自然科学版）》2014年第4期466-472,共7页Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)

基　　金：国家自然科学基金(60263028);国家自然科学基金重点项目(11033004);广西自然科学基金重点项目(2012GXNSFDA053027);中国科学院时间频率基准重点实验室开放基金(Y000YR1S01)~~

摘　　要：针对当前伪距单点定位普遍采用的高斯牛顿迭代最小二乘(gauss-newton iterative least squares,GNILS)定位算法存在对初始值的估计依赖性强,且迭代计算量大的缺点,结合直接解算(direct calculation,DC)定位方法定位解算快和加权最小二乘(weighted least squares,WLS)定位算法定位精度高的优点,提出一种北斗伪距单点定位的WLS快速(fast weighted least squares,WLSF)定位算法。通过北斗实测数据验证表明,WLSF定位算法计算复杂度显著减少,并且定位精度具有较大改善。Gauss-Newton iterative least squares （GNILS） positioning algorithm is adopted commonly in Pseudo-range single point positioning at present. However, GNILS positioning algorithm has strong dependence on the estimation of the initial value, and the iterative computation burden is heavy, while the direct calculation（DC） positioning algorithm＇s positioning speed is fast and weighted least squares （WLS） algorithm＇ s positioning precision is high. In view of the shortcomings of GNILS algorithm, and combined the advantages of DC positioning algorithm and WLS positioning algorithm, a fast algorithm based on weighted least squares principle（WLSF） in Pseudo-range single point positioning is presented in this paper. It is proved by the measured Beidou data that WLSF positioning algorithm is beneficial to reduce the computational complexity significantly and the accuracy of the positioning precision is also greatly improved.

关 键 词：伪距单点定位 高斯牛顿迭代 直接解算 加权最小二乘(WLS) 

分 类 号：TN927[电子电信—通信与信息系统]