A fast and high-precision orientation algorithm for BeiDou is proposed by deeply analyzing the constellation characteristics of BeiDou and GEO satellites features.With the advantage of good east-west geometry, the baseline vector candidate values were solved by the GEO satellites observations combined with the dimensionality reduction theory at first.Then, we use the ambiguity function to judge the values in order to obtain the optical baseline vector and get the wide lane integer ambiguities. On this basis, the B1 ambiguities were solved. Finally, the high-precision orientation was estimated by the determinating B1 ambiguities. This new algorithm not only can improve the ill-condition of traditional algorithm, but also can reduce the ambiguity search region to a great extent, thus calculating the integer ambiguities in a single-epoch.The algorithm is simulated by the actual BeiDou ephemeris and the result shows that the method is efficient and fast for orientation. It is capable of very high single-epoch success rate(99.31%) and accurate attitude angle (the standard deviation of pitch and heading is respectively 0.07°and 0.13°)in a real time and dynamic environment.
ZHAO Jiaojiao
,
QU Jianghua
,
YUAN Hong
. A Fast and High-precision Orientation Algorithm for BeiDou Based on Dimensionality Reduction[J]. Acta Geodaetica et Cartographica Sinica, 2015
, 44(5)
: 488
-494
.
DOI: 10.11947/j.AGCS.2015.20140055
[1] WANG Y, ZHAN X, ZHANG Y. Improved Ambiguity Function Method Based on Analytical Resolution for GPS Attitude Determination[J]. Measurement Science and Technology, 2007, 18(9): 2985.
[2] YANG Yuanxi, LI Jinlong, WANG Aibing, et al. 2014.Preliminary Assessment of the Navigation and Positioning Performance of BeiDou Regional Navigation Satellite System[J]. Science China: Earth Sciences,2014,44:72-81.(杨元喜, 李金龙, 王爱兵, 等. 2014. 北斗区域卫星导航系统基本导航定位性能初步评估[J]. 中国科学: 地球科学,2014,44: 72-81.)
[3] TEUNISSEN P J G.The Least-squares Ambiguity Decorrelation Adjustment:A Method for Fast GPS Integer Ambiguity Estimation[J]. Journal of Geodesy,1995,70(1): 65-82.
[4] MONIKES R, WENDEL J,TROMMER G F. A Modified Lambda Method for Ambiguity Resolution in the Presence of Position Domain Constraint[C]//Proceedings of the 18th International Technical Meeting of the Satellite Division of the Institute of Navigation. Long Beach:[s.n.],2005:81-87.
[5] PETER B. The Baseline Constrained LAMBDA Method for Single Epoch,Single Frequency Attitude Determination Application[C]//Proceedings of the 20th International Technical Meeting of the Satellite Division of the Institute of Navigation. [S.l.]: ION, 2007:2962-2973.
[6] GIORGI G, TEUNISSEN P J G, ODIJK D, et al. Enhancing the Time-to-fix for the Unaided Single-frequency Integer Ambiguity Resolution in GNSS Attitude Determination Applications[C]//Position Location and Navigation Symposium.[S.l.]:IEEE, 2010: 236-244.
[7] GIORGI G, TEUNISSEN P J G. Low-complexity Instantaneous Ambiguity Resolution with the Affine-Constrained GNSS Attitude Model[J]. IEEE Transactions on Aerospace and Electronic Systems, 2013, 49(3): 1745-1759.
[8] TANG W, DENG C, SHI C, et al. Triple-frequency Carrier Ambiguity Resolution for BeiDou Navigation Satellite System[J]. GPS Solutions, 2013: 1-10.
[9] GAO W, GAO C, PAN S, et al. The Analysis of Ill Posedness in GNSS High-precision Differential Positioning[C]//Proceedings of China Satellite Navigation Conference.Heidelberg:Springer, 2013: 311-321.
[10] WANG Shengli, WANG Qing, GAO Wang, et al.Analysis and Valuation of Ill-condition in Baseline Solution of GNSS Multi-system[J].Journal of Southeast University, 2013, 43(4): 753-757.(王胜利, 王庆, 高旺, 等. GNSS 多系统基线解算中的病态性分析与评价[J]. 东南大学学报: 自然科学版, 2013, 43(4): 753-757.)
[11] XIE Gang. Principles of GPS and Receiver Design[M].Beijing: Publishing House of Electronics Industry,2009.(谢钢. GPS 原理与接收机设计[M]. 北京:电子工业出版社, 2009.)
[12] PRATAP M, PER E.Global Positioning System: Signals, Measurements, and Performance[M]. Beijing:Publishing House of Electronics Industry, 2008:188-192.
[13] QU J, YUAN H, ZHANG X, et al. Single-epoch COMPASS Carrier-phase Ambiguous Resolution Using Three Civil Frequencies and Special Constellations[C]//Proceedings of the ION GNSS. Nashville:[s.n.],2012.
[14] ZHU Huizhong, LIU Jingnan, TANG Weiming. et al.The Algorithm of Single-epoch Integer Ambiguity Resolution between Long-range Network RTK Base Stations[J]. Acta Geodaetica et Cartographica Sinica,2012, 41(3): 359-365.(祝会忠, 刘经南, 唐卫明, 等. 长距离网络 RTK 基准站间整周模糊度单历元确定方法[J]. 测绘学报, 2012, 41(3): 359-365.)
[15] WANG Lei, LIANG Kailong. Application of GPS Dual Frequency Observation in Attitude Determination[J]. Bulletin of Surveying and Mapping,2005(2): 32-35.(王磊, 梁开龙. 姿态测量中 GPS 双频观测的应用[J]. 测绘通报, 2005(2): 32-35.)
[16] YAN Mingfeng.GNSS Three Carrier Ambiguity Resolution Using Ionosphere-reduced Virtual Signals[J]. Journal of Geodesy,2008, 82:847-862.
[17] SHAO Weihan,RIZOS C. Improving the Computational Efficiency of the Ambiguity Function Algorithm[J], Journal of Geodesy, 1996,70:330-341.
[18] CHEN Yulin. Study on Attitude Determination of Kinematical Carrier Using Carrier Phase of GPS System[D]. Nanjing: Nanjing University of Aeronautics and Astronautics,2005.(陈玉林. 利用 GPS 载波相位信号确定载体姿态研究 [D]. 南京:南京航空航天大学, 2005.)
[19] MONTENBRUCK O, HAUSCHILD A, STEIGENBERGER P, et al. Initial Assessment of the COMPASS/BeiDou-2 Regional Navigation Satellite System[J]. GPS Solutions, 2013, 17(2): 211-222.
[20] GUO Q. COMPASS Three Carrier Ambiguity Resolution[C]//China Satellite Navigation Conference (CSNC) 2013 Proceedings: Satellite Navigation Signal System, Compatibility & Interoperability: Augmentation & Integrity Monitoring—Models & Methods.[S.l.]:Springer, 2013, 244: 441.