多星座卫星导航系统定位方程直接解算算法的研究

计算机科学 ›› 2015, Vol. 42 ›› Issue (12): 201-206.

多星座卫星导航系统定位方程直接解算算法的研究

汪文雯,张可,黄彬

电子科技大学电子科学技术研究院成都611731,电子科技大学电子科学技术研究院成都611731,电子科技大学电子科学技术研究院成都611731

出版日期:2018-11-14 发布日期:2018-11-14
基金资助:
本文受航空科学基金(20110580002)资助

Research on Position Equation Direct Solving Method in Multi-constellation Satellite Navigation System

WANG Wen-wen, ZHANG Ke and HUANG Bin

Online:2018-11-14 Published:2018-11-14

摘要/Abstract

摘要： 在导航定位系统中,传统的最小二乘定位解算算法需要通过线性迭代求解,计算量大且迭代过程不稳定,影响导航定位的实时性以及稳定性。针对此问题,利用多卫星导航系统可获得多颗可见卫星的特点,提出了“3+2+2”和“3+3+2”的直接解算算法,以及当3个星座系统可见卫星数目达到9颗及以上时将导航定位的非线性伪距方程组直接转化为线性方程组的直接解算算法。3种方法均不需要预先假设接收机的初始位置坐标,避免了线性迭代过程,减小了计算量。通过仿真对提出的直接解算算法进行了验证,结果表明所提算法均能够有效实现多星座导航系统定位解算。

关键词: 导航定位,多星座,直接解算算法,最小二乘算法

Abstract: In the navigation positioning system,the traditional least squares method requires linear iteration for solution,which brings great computation and affection to real-time performance and stability.Aiming at this problem,and considering the feature that there are more visible satellites in multi-constellation satellite navigation system,two direct solving methods which use “3+2+2” and “3+3+2” satellites were put forward.Also,when there are more than 9 visi-ble satellites in triple system,the method of converting nonlinear equations into linear equations was proposed.The proposed three methods do not require assuming the initial position coordinate of receiver,thus linear iteration can be avoided and computation load is reduced.Simulation results show that the proposed methods are effective and reliable for position solving in multi-constellation satellite navigation system.

Key words: Navigation positioning,Multi-constellation,Direct solving method,Least squares method

汪文雯,张可,黄彬. 多星座卫星导航系统定位方程直接解算算法的研究[J]. 计算机科学, 2015, 42(12): 201-206. https://doi.org/

WANG Wen-wen, ZHANG Ke and HUANG Bin. Research on Position Equation Direct Solving Method in Multi-constellation Satellite Navigation System[J]. Computer Science, 2015, 42(12): 201-206. https://doi.org/

参考文献

[1] 常强,侯洪涛,曾祥辉,等.GNSS合作定位研究综述[J].宇航学报,2014,5(1):13-20 Chang Qiang,Hou Hong-tao,Zeng Xiang-hui,et al.A Survey of GNSS based Cooperative Positioning [J].Journal of Astronautics,2014,5(1):13-20
[2] 张智,周桂贤.一种农机车载GPS的准确定位算法的仿真研究[J].计算机科学,2012,9(12):216-219 Zhang Zhi,Zhou Gui-xian.Farm Machinery on-board GPS Location Accuracy Simulation and Research[J].Computer Science,2012,9(12): 216-219
[3] 郑春锋,徐扬.一种基于方位角和网络拓扑的定位算法及应用[J].计算机科学,2014,2(6A):273-275 Zheng Chun-feng,Xu Yang.Locatization Algorithm Based on Azimuth Angle and Network Topology[J].Computer Science,2014,2(6A):273-275
[4] 杨迪.GNSS多星座组合导航关键技术研究[D].南京:南京航空航天大学,2012 Yang Di.Research on key technologies of GNSS Multi-constellation Integrated Navigation [D].Nanjing:Nanjing University of Aeronautics and Astronautics,2012
[5] 张利,袁本银.GNSS多星座导航定位算法研究与实现[J].测绘,2012(5):195-197 Zhang Li,Yuan Ben-yin.Algorithm Research and Implementation of GNSS Multi-Constellation Navigation Positioning [J].Surveying and Mapping of Sichuan,2012(5):195-197
[6] Teng Y L,Wang J.New characteristics of geometric dilution of precision (GDOP) for multi-GNSS constellations[J].Journal of Navigation,2014,7(6):1018-1028
[7] Martini I,Rippl M,Meurer M.Advanced RAIM architecture design and user algorithm performance in a real GPS,GLONASS and Galileo scenario[C]∥Proceedings of International Technical Meeting of the Satellite Division of the Institute of Navigation.Nashville,Tennessee,2013:2624-2636
[8] Wellenhof H,Wasl L.GNSS－Global Navigation Satellite Systems:GPS,GLONASS,Galileo,and more[M].Beijing:Surveying and Mapping Press,2009:1-10
[9] Liu B,Tan Y K,Dempster A G.Using two global positioning system satellites to improve wireless fidelity positioning accuracy in urban canyons [J].IET Communications,2011,5(2):163-171
[10] John B,Lundhber G.Alternative algorithms for the GPS static positioning solution [J].Applied Mathematics and Computation,2001(119):21-34
[11] 张强,刘红雨,汪大宝.双系统卫星接收机定位方程直接解算方法研究[J].系统仿真学报,2014,6(1) Zhang Qiang,Liu Hong-yu,Wang Da-bao.Study of Position Equation Direct Solving Method in Double Mode Satellite Recei-vers[J].Journal of System Simulation,2014,6(1)
[12] Yu X L,Sun Y R,Liu J Y,et al.Multiple satellite integrated navigation system based on self-adaptive soft-switch technology [J].Journal of Astronautics,2009,30(4):1435-1442
[13] Li X,Wu M P,Zhang K D,et al.High accuracy acceleration determination by using multiple GNSS reference stations[J].Measurement,2013,6(4):1607-1615
[14] Zhang Miao-yan,Zhang Jun.A fast satellite selection algorithm beyond four satellites [J].IEEE Journal of Selected Topics in Signal Processing,2009,3(5):740-747
[15] Yan Q.Numerical analysis (Third Edition) [M].Beijing:Beihang Press,2006

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