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等式约束最小二乘在“北斗”姿态测量中的应用

汪镱林 田增山

电讯技术2016,Vol.56Issue(7):760-764,5.
电讯技术2016,Vol.56Issue(7):760-764,5.DOI:10.3969/j.issn.1001-893x.2016.07.008

等式约束最小二乘在“北斗”姿态测量中的应用

Application of Equality Constrained Least Squares in BDS Attitude Determination

汪镱林 1田增山1

作者信息

  • 1. 重庆邮电大学 移动通信技术重庆市重点实验室,重庆400065
  • 折叠

摘要

Abstract

For the low success rate problem of ambiguity resolution in traditional unconstrained attitude de-termination,this paper proposes an algorithm that uses quadratic equality constraint to fast determine inte-ger ambiguity,and applies it to Beidou Navigation Satellite System( BDS) attitude determination. This algo-rithm makes full use of a priori information baseline,adds equality constraints in the process of solving the ambiguity,and takes advantage of the Lagrange multiplier method for solving constrained integer least squares problems,thus improving the success rates of integer ambiguity resolution and attitude angle resolu-tion. Static tests and dynamic tests validate that the algorithm can dramatically improve the success rates of integer ambiguity resolution and BDS attitude determination by about 30% under the condition of the BDS single epoch.

关键词

“北斗”卫星导航定位系统/姿态测量/整周模糊度/等式约束/拉格朗日乘子

Key words

Beidou navigation satellite system/attitude determination/integer ambiguity/equality constrain-ed/Lagrange multiplier

分类

信息技术与安全科学

引用本文复制引用

汪镱林,田增山..等式约束最小二乘在“北斗”姿态测量中的应用[J].电讯技术,2016,56(7):760-764,5.

基金项目

重庆市基础与前沿研究计划项目(cstc2013jcyjA40032) (cstc2013jcyjA40032)

电讯技术

OA北大核心CSTPCD

1001-893X

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