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纳伪概率可控的四舍五入法及其在RTK模糊度固定中的应用 被引量:7

Error Probability Controllable Integer Rounding Method and Its Application to RTK Ambiguity Resolution
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摘要 RTK模糊度固定通常采用序贯四舍五入方法,该方法只固定能可靠固定的部分模糊度,因此控制四舍五入的纳伪概率是实现RTK可靠性的关键。从含多个备选假设的假设检验理论出发,研究纳伪概率可控的四舍五入方法,根据风险水平和实数解的质量自适应地确定四舍五入取整区域,从而有效地控制整数固定的纳伪概率。并结合GNSS应用中两种特殊情况,发展两种简单实用的应用策略。采用基线长94.6 km的CORS站GPS双频数据进行网络RTK模糊度固定试验,分析本文纳伪概率可控的四舍五入方法的效果。结果表明,纳伪概率可控的四舍五入方法的固定率与传统四舍五入方法的固定率相当,且较传统方法更能有效地控制纳伪概率,提高整数解的可靠性。 RTK ambiguity resolution is usually preferable to sequential rounding method to partially fix the ambiguities that can be fixed with high reliability. Hence, it is crucial to control the error probability of rounding. The issue of reliable rounding based on the theory of multiple hypothesis testing will be addressed, where the rounding interval is adaptively determined in terms of the user-defined critical level to tightly control the error probability of ambiguity fixing. Furthermore, regarding to the two special scenarios in real GNSS applications, two easy-to-use rounding strategies are developed. The dual-frequency GPS data collected from two CORS stations of 94.6 km baseline is carried out as a network RTK ambiguity resolution instance to evaluate the performance of the proposed new rounding strategies. The results show that, comparing with the ordinary rounding strategies, the new rounding strategies can indeed control error probability of ambiguity fixing whilst keeping the moderate fix-rate
出处 《测绘学报》 EI CSCD 北大核心 2012年第4期483-489,495,共8页 Acta Geodaetica et Cartographica Sinica
基金 国家自然科学基金(41074018 41104002)
关键词 实时动态定位 四舍五入 纳伪概率 多个备选假设 假设检验 RTK integer rounding type II error multiple hypotheses~ hypothesis testing
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参考文献24

  • 1LI Bofeng, FENG Yanming, SHEN Yunzhong. Extended GNSS Ambiguity Resolution Models with Regularization Criterion and Constraints [J]. Journal of Global Positioning Systems, 2009, 8(2) ,149-154.
  • 2TEUNISSEN P. An Optimality Property of the Integer Least-squares Estimator[J]. Journal of Geodesy, 1999, 73:587-593.
  • 3欧吉坤,王振杰.单频GPS快速定位中模糊度解算的一种新方法[J].科学通报,2004,49(2):196-200.
  • 4GUI Qingming, HAN Songhui. New Algorithm of GPS Rapid Positioning Based on Double-k-type Ridge Estima tion [J].Journal of Surveying Engineering, 2007, 133 (4):173-178.
  • 5李博峰,沈云中.顾及基线先验信息的GPS模糊度快速解算[J].测绘学报,2008,37(4):423-427. 被引量:20
  • 6SHEN Yunzhong, LI Bofeng. Regularized Solution to Fast GPS Ambiguity Resolution[J]. Journal of Surveying Engineering, 2007, 133(4) : 168-172.
  • 7LI Bofeng, SHEN Yunzhong, FENG Yanming. Fast GNSS Ambiguity Resolution as an Ill-posed Problem [J]. Journal of Geodesy, 2010, 84:683-698.
  • 8FREI E, BEULTER G. Rapid Static Positioning Based on the Fast Ambiguity Resolution Approach 'FARA':Theory and First Results [J]. Manuscript Geodesy, 1990, 15:326-356.
  • 9HATCH R. Instantaneous Ambiguity Resolution [C]// Proceedings of KIS'90. Banff:[s. n.] ,1990: 299-:308.
  • 10PARK C, KIM I, LEE J, et al. Efficient Ambiguity Resolution Using Constraint Equation [C]//Proceedings of IEEE Position Location and Navigation Symposium. Atlanta, IEEE, 1996: 277-284.

二级参考文献30

  • 1唐卫明,孙红星,刘经南.附有基线长度约束的单频数据单历元LAMBDA方法整周模糊度确定[J].武汉大学学报(信息科学版),2005,30(5):444-446. 被引量:66
  • 2李博峰,沈云中.改进的ARCE算法[J].大地测量与地球动力学,2006,26(3):102-105. 被引量:7
  • 3FREI E,BEULTER G.Rapid Static Positioning Based on the Fast Ambiguity Resolution Approach ‘FARA':Theory and First Results[J].Manuscript Geodcsy,1990,(15):326-356.
  • 4tIATCH R. Instantaneous Ambiguity Resolution[A].Proceeding of lAG International Symposium 107 on Kincmatic Systems in Geodesy. Surveying and Remote Sensing[C]. New York:Springer Verlag, 1991.299-308.
  • 5TEUNISSEN P J G. ANew Method for Fast Carrier Phase Ambiguity Estimation[A]. Proceeding of IEEE Position Lo cation and Navigation Symposium[C]. Las Vegas:[s. n.], 1094. 562 - 573.
  • 6PARK C, KIM I. et al. Efficient Ambiguity Resolution Using Constraint Equation[A]. Proceeding of IEEE Position Location anti Navigation Symposiunl[C]. Atlanta:[s. n. ],1096. 277-284.
  • 7XU P L.Random Simulation and GPS Decorrclation[J].Journal of Geodesy,2001,75(7-8):408-423.
  • 8SHEN Y Z,LI B F.Regularized Solution to Fast GPS Ambiguity Resolution[J].Journal of Survey Engincering,2007,133(4):168-172.
  • 9WANG Z,RIZOS C,et al.Single Epoch Algorithm Based on Tikhonov Regularization for Deformation Monitoring Using Single Frequency GPS Receivers[J].Survey Review,2006,38(302):682-688.
  • 10CAI J,GRAFAREND E W,HU C,et al.The Uniform Tykhonov-Philips Regularization(α-weighted s-homBLE) and Its Application in GPS Rapid Static Positioning[A].VI Hotine-Marussi Symposium on Theoretical and Computational Geodesy:Challenge and Role of Modern Geodesy[C].Berlin/Heidelberg:Springer,2006:216-224.

共引文献45

同被引文献81

  • 1葛茂荣,刘经南.GPS定位中对流层折射估计研究[J].测绘学报,1996,25(4):285-291. 被引量:72
  • 2周乐韬,黄丁发,袁林果,李成钢.网络RTK参考站间模糊度动态解算的卡尔曼滤波算法研究[J].测绘学报,2007,36(1):37-42. 被引量:36
  • 3高星伟,陈锐志,李夕银.中性大气对非差伪距定位的影响及其模型改正分析[J].测绘学报,2007,36(2):134-140. 被引量:18
  • 4Jianghui Geng,Xiaolin Meng,Alan H. Dodson,Felix N. Teferle.Integer ambiguity resolution in precise point positioning: method comparison[J].Journal of Geodesy.2010(9)
  • 5VOLLATH U, LANDAU H, CHEN Xiaoming. Network RTK——Concept and Performance[C]//Proceedings of the GNSS Symposium. Wuhan: [s.n.], 2002.
  • 6BLEWITT G. Carrier Phase Ambiguity Resolution for the Global Positioning System Applied to Geodetic Baselines up to 2000 km[J]. Journal of Geophysical Research, 1989, 94(B8): 10187-10203.
  • 7DONG Danan, BOCK Y. Global Positioning System Network Analysis with Phase Ambiguity Resolution Applied to Crustal Deformation Studies in California[J]. Journal of Geophysical Research, 1989, 94(B4): 3949-3966.
  • 8BLEWITT G. An Automatic Editing Algorithm for GPS Data[J]. Geophysical Research Letters, 1990, 17(3): 199-202.
  • 9SUN Huangqi, CANNON M E, MELGARD T E. Real-time GPS Reference Network Carrier Phase Ambiguity Resolution[C]//Proceedings of the National Technical Meeting of the Institute of Navigation. San Diego: Institute of Navigation, 1999: 193-199.
  • 10HAN Shaowei. Carrier Phase-based Long-range GPS Kinematic Positioning[D]. Sydney: University of New South Wales, 1997.

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