利用非线性约束整数最小二乘快速求解整周模糊度

doi:10.3969/j.issn.0372-2112.2017.04.014

电子学报 ›› 2017, Vol. 45 ›› Issue (4): 863-867.DOI: 10.3969/j.issn.0372-2112.2017.04.014

利用非线性约束整数最小二乘快速求解整周模糊度

田增山, 李小飞, 杨进超

重庆邮电大学移动通信技术重点实验室, 重庆 400065

收稿日期:2015-12-23 修回日期:2016-06-17 出版日期:2017-04-25
- 作者简介:
- 田增山 男,1968年生,河南人,博士、教授,于1999年获得电子科技大学博士学位.研究方向为北斗姿态测量、个人通信、卫星导航、无线定位、信号检测与估计;李小飞 女,1989年生,河南人,硕士研究生.研究方向为无线定位、惯性导航.E-mail:lxfhx1024@163.com
- 基金资助:
- 重庆市自然科学基金 (No.cstc2013jcyjA40032）

Fast Integer Ambiguity Resolution Using Nonlinear Constrained Integer Least Squares

TIAN Zeng-shan, LI Xiao-fei, YANG Jin-chao

Chongqing Key Lab of Mobile Communication Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received:2015-12-23 Revised:2016-06-17 Online:2017-04-25 Published:2017-04-25
- Supported by:
- National Natural Science Foundation of Chongqing Municipality, China (No.cstc2013jcyjA40032)

摘要/Abstract

摘要：

整周模糊度的解算是高精度北斗姿态测量的核心问题，本文提出一种利用二次特征值求解非线性约束的最小二乘问题，用于整周模糊度快速求解，并将其应用在单频单历元的北斗姿态测量系统中.该方法将基线长度的先验信息与整周模糊度目标函数整合，构造新的目标函数，提高姿态测量中整周模糊度求解准确度.实验在北斗姿态测量平台上验证该方法的有效性，测试结果表明该方法在北斗单频单历元下，整周模糊度及姿态角求解的成功率有较大提升.

关键词: 北斗, 姿态测量, 整周模糊度, 非线性约束

Abstract:

The integer ambiguity resolution is the key to precise attitude determination.In case of single frequency single epoch,this paper presents a fast integer ambiguity resolution method based on nonlinear constrained integer least-squares solved with the quadratic eigenvalue problem,and applies it to BDS attitude determination system.The method will integrate the baseline length called the priori information into objective function,and construct new objective function to improve the accuracy of integer ambiguity solution.The effectiveness of the proposed method is verified by experiments on the BDS attitude determination platform.The results show that,in the single frequency single epoch BDS attitude determination,the method has highly improved the success rate of integer ambiguity and attitude determination resolution.

Key words: BDS, attitude determination, integer ambiguity, nonlinear constrained

中图分类号:

P228

田增山, 李小飞, 杨进超. 利用非线性约束整数最小二乘快速求解整周模糊度[J]. 电子学报, 2017, 45(4): 863-867.

TIAN Zeng-shan, LI Xiao-fei, YANG Jin-chao . Fast Integer Ambiguity Resolution Using Nonlinear Constrained Integer Least Squares[J]. Acta Electronica Sinica, 2017, 45(4): 863-867.

参考文献

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利用非线性约束整数最小二乘快速求解整周模糊度

Fast Integer Ambiguity Resolution Using Nonlinear Constrained Integer Least Squares

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