GPS/GLONASS/BDS三系统组合定位的定权方法
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摘要
为了提高GPS/GLONASS/BDS三系统组合定位的稳定性和精确度,研究加权最小二乘定位中的定权方法。提出一种结合高度角先验定权和验后方差估计的定权方法,利用多系统兼容接收机实测数据进行仿真验证。结果表明,相较于传统的最小二乘法,该定权方法可以明显改善多系统组合定位的精确度,且具有很好的抗差性能,提高了定位结果的稳定性,可应用于多系统兼容接收机组合定位解算中。
A method of determining appropriate weight for weighted least-square positioning is studied in order to improve the stability and accuracy of GPS/GLONASS/BDS integrated positioning. A method combining priori weighting based on altitude angle and posterior weighting based on variance estimation is proposed. The simulation is performed by using measured data from multi-system compatible receiver. The simulation results show that compared with traditional least-square positioning, the weighting method has a good resistance to poor measure performances and can effectively improve the stability and accuracy of multi-system positioning. Therefore, it can be applied to integrated positioning resolution for multi-system compatible receiver.
A method of determining appropriate weight for weighted least-square positioning is studied in order to improve the stability and accuracy of GPS/GLONASS/BDS integrated positioning. A method combining priori weighting based on altitude angle and posterior weighting based on variance estimation is proposed. The simulation is performed by using measured data from multi-system compatible receiver. The simulation results show that compared with traditional least-square positioning, the weighting method has a good resistance to poor measure performances and can effectively improve the stability and accuracy of multi-system positioning. Therefore, it can be applied to integrated positioning resolution for multi-system compatible receiver.
引文
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[2]胡国荣,崔伟宏.组合GPS/GLONASS加权单点定位方法[J].兵工学报,2002,23(1):59-63.(HU Guo-rong,CUI Wei-hong.Method of Weighted GPS+GLONASS Single-Point Positioning[J].Acta Armamentarii,2002,23(1):59-63.)
[3]范磊,钟世明,欧吉坤,等.COMPASS与GPS伪距单点定位精度分析[C]//第4届中国卫星导航学术年会论文集.中国,武汉:[s.n.],2013.(FAN Lei,ZHONG Shi-ming,OU Ji-kun,et al.Precision Analysis of Standard Point Positioning by COMPASS and GPS Observations[C]//The 4th China Satellite Navigation Conference Proceedings.Wuhan,China:[s.n.],2013.)
[4]谢钢.GPS原理与接收机设计[M].北京:电子工业出版社,2009.(XIE Gang.Principles of GPS and Receiver Design[M].Beijing,China:Publishing House of Electronics Industry,2009.)
[5]刘志强,黄张裕,金建平.利用卫星高度角和信噪比提高GPS定位精度的试验分析[J].测绘工程,2008,17(4):54-58.(LIU Zhi-qiang,HUANG Zhang-yu,JIN Jian-ping.An experiment study of improving GPS positioning precision by satellite elevation and SNR[J].Engineering of Surveying and Mapping,2008,17(4):54-58.)
[6]余文坤,戴吾蛟,蔡昌盛,等.GPS/GLONASS广播星历精度分析[J].工程勘察,2012(8):79-83.(YU Wen-kun,DAI Wu-jiao,CAI Chang-sheng,et al.Accuracy analysis of GPS/GLONASS broadcast ephemeris[J].Geotechnical Investigation&Surveying,2012(8):79-83.)
[7]高为广,苏牡丹,郭树人,等.北斗系统空间信号精度测试与评估[C]//第4届中国卫星导航学术年会论文集.中国,武汉:[s.n.],2013.(GAO Wei-guang,SU Mu-dan,GUO Shu-ren,et al.Testing and Evaluation of Signal in Space Accuracy for Beidou Navigation Satellite System(BDS)[C]//The 4th China Satellite Navigation Conference Proceedings.Wuhan,China:[s.n.],2013.)
[8]刘国林.近代测量平差理论与方法[M].徐州:中国矿业大学出版社,2012.(LIU Guo-lin.Theories and Methods of Modern Measurement Adjustment[M].Xuzhou,Jiangsu,China:China University of Mining and Technology Press,2012.)
[9]韩雪峰,李建文,刘雪瑞,等.两种电离层延迟改正方法的对比研究[J].海洋测绘,2012,32(5):8-10.(HAN Xue-feng,LI Jian-wen,LIU Xue-rui,et al.Comparison of Two Methods of Ionospheric Delay Correction[J].Hydrographic Surveying and Charting,2012,32(5):8-10.)
[10]杨开伟,甘兴利,李娟娟.3种全球对流层改正模型特性分析[C]//第3届中国卫星导航学术年会论文集.中国,广州:[s.n.],2012.(YANG Kai-wei,GAN Xing-li,LI Juan-juan.Characteristic Analysis of Three Sorts of Global Troposphere Delay Correction Models[C]//The 3rd China Satellite Navigation Conference Proceedings.Guangzhou,China:[s.n.],2012.)