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一种北斗伪距单点定位的加权最小二乘(WLS)快速算法
引用本文:李春华,蔡成林,邓克群,徐李冰.一种北斗伪距单点定位的加权最小二乘(WLS)快速算法[J].重庆邮电大学学报(自然科学版),2014,26(4):466-472.
作者姓名:李春华  蔡成林  邓克群  徐李冰
作者单位:桂林电子科技大学 信息与通信学院,广西桂林 541004;桂林电子科技大学 信息与通信学院,广西桂林 541004;桂林电子科技大学 电子工程与自动化学院,广西 桂林541004;桂林电子科技大学 计算机科学与工程学院,广西 桂林541004
基金项目: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?

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)
收稿时间:2013/11/30 0:00:00
修稿时间:2014/5/28 0:00:00

A fast pseudo-range single point positioning algorithm for the Beidou navigation system based on weighted least squares
LI Chunhu,CAI Chenglin,DENG Kequn an,XU Libing.A fast pseudo-range single point positioning algorithm for the Beidou navigation system based on weighted least squares[J].Journal of Chongqing University of Posts and Telecommunications,2014,26(4):466-472.
Authors:LI Chunhu  CAI Chenglin  DENG Kequn an  XU Libing
Institution:Institute of Information and Communication,Guilin University of Electronic Technology,Guilin541004,P.R.China;Institute of Information and Communication,Guilin University of Electronic Technology,Guilin541004,P.R.China;Institute of Electrical Engineering and Automation,Guilin University of Electronic Technology, Guilin541004,P.R.China;Institute of Computer Science and Engineering,Guilin University of Electronic Technology,Guilin541004,P.R.China
Abstract: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.
Keywords:pseud-range single point positioning  Gauss-Newton iterative  direct calculation  weighted least squares
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