Parallel Robust Estimation for Large-scale High-precision GNSS Baseline Vector Network

Expand
  • 1. Institute of Geospatial Information, Information Engineering University, Zhengzhou 450001, China;
    2. Institute of Mechanical and Electrical Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China

Received date: 2014-03-28

  Revised date: 2014-07-09

  Online published: 2015-05-27

Supported by

The National Natural Science Foundation of China (No.41274015);The National High-tech Research and Development Program of China (863 Program) (No.2013AA122501)

Abstract

According to the characteristics of large-scale GNSS baseline vector network, the relevant observations robust estimation model which is based on RECO scheme is improved by parallel computing. A feasible process steps are also presented. Using the improved model, a numerical example is given. It is demonstrated that the large-scale GNSS baseline vector related robust parallel estimation not only can inhibit the influence of the outliers to the parameter estimates, but also significantly improve the computational efficiency.

Cite this article

CUI Yang, LÜ Zhiping, ZHANG Youyang, LI Linyang . Parallel Robust Estimation for Large-scale High-precision GNSS Baseline Vector Network[J]. Acta Geodaetica et Cartographica Sinica, 2015 , 44(5) : 495 -502 . DOI: 10.11947/j.AGCS.2015.20140154

References

[1] GEOFFERY B. Fixed Point Theorems of GPS Carrier Phase Ambiguity Resolution and Their Application to Massive Network Processing: Ambizap[J]. Journal of Geophysical Research, 2008. doi:10.1029/JB005736.
[2] SHI Chuang. Large-scale High-precision GPS Network Adjustment and Analysis Theory and Its Application[M]. Beijing: Surveying and Mapping Press, 2002. (施闯. 大规模高精度GPS网平差与分析理论及其应用[M]. 北京:测绘出版社, 2002.)
[3] YANG Yuanxi. Robust Estimation Theory and Its Applications[M]. Beijing: Publishing House of PLA, 1993. (杨元喜. 抗差估计理论及其应用[M]. 北京: 解放军出版社, 1993.)
[4] YU Xuexiang, LV Weicai. Robust Estimation Model for Correlated Observations Based on Standardized Residuals[J]. Journal of Wuhan Technical University of Surveying and Mapping, 1999, 24(10): 75-78. (余学祥, 吕伟才. 基于标准化残差的相关观测抗差估计模型[J]. 武汉测绘科技大学学报,1999, 24(10): 75-78.)
[5] WU Jiangfei, YANG Yuanxi. Robust Estimation for Correlated GPS Baseline Vector Network[J]. Acta Geodaetica et Cartographica Sinica, 2001, 30(3): 247-251. (吴江飞, 杨元喜. 相关GPS基线向量网的抗差估计[J]. 测绘学报, 2001, 30(3): 247-251.)
[6] YANG Yuanxi, SONG Lijie, XU Tianhe. Robust Parameter Estimation for Geodetic Correlated Observations[J]. Acta Geodaetica et Cartographica Sinica, 2002, 31(2): 95-100. (杨元喜, 宋力杰, 徐天河. 大地测量相关观测抗差估计理论[J]. 测绘学报, 2002, 31(2): 95-100.)
[7] YANG Yuanxi, SONG Lijie, XU Tianhe. New Robust Estimator for the Adjustment of Correlated GPS Networks[C]//Proceedings of First International Symposium on Robust Statistics and Fuzzy Techniques in Geodesy and GIS: 295. Berlin: IGP-Bericht, 2001:199-208.
[8] ZHAO Qinghai. Robust Estimation for High Precision GPS Vector Network[J]. Acta Geodaetica et Cartographica Sinica, 2004, 33(1): 43-46. (赵庆海. 高精度GPS向量网抗差估计[J]. 测绘学报, 2004, 33(1): 43-46.)
[9] SONG Lijie, OUYANG Guichong. A Fast Method of Solving Partitioned Adjustment for Super Large-scale Geodetic Network[J]. Acta Geodaetica et Cartographica Sinica, 2003, 32(3): 204-207. (宋力杰,欧阳桂崇. 超大规模大地网分区平差快速解算方法[J]. 测绘学报, 2003, 32(3): 204-207.)
[10] HENNO B. Distributed Processing for Large Geodetic Solutions. Reference Frames for Application in Geosciences[C]//Proceedings of the International Association of Geodesy Symposia: 138. Berlin: Springer-Verlag, 2013: 102-114.
[11] HIROSH T, TETSURO K, YASUHIRO K, et al. A VLBI Correlator with Internet-based Distributed Computing[EB/OL]. [2014-04-16]. http://www.ursi.org/ proceedings/procga05/ pdf/ j06.10(0886). pdf.
[12] MARC B, LUC G, SERGE G, et al. Parallel Tools for Solving Incremental Dense Least Squares Problem: Application to Space Geodesy[J]. Journal of Algorithms & Computational Technology, 2009, 3(1): 117-133.
[13] ZOU Xiancai, LI Jiancheng, WANG Haihong, et al. Application of Parallel Computing with OpenMP in Data Processing for Satellite Gravity[J]. Acta Geodaetica et Cartographica Sinica, 2010, 39(6): 636-641. (邹贤才, 李建成, 汪海洪, 等. OpenMP并行计算在卫星重力数据处理中的应用[J]. 测绘学报, 2010, 39(6): 636-641.)
[14] CUI Yang, LV Zhiping, CHEN Zhengsheng, et al. Research of Parallel Data Processing for GNSS Network Adjustment under Multi-core Environment[J]. Acta Geodaetica et Cartographica Sinica, 2013, 42(5): 661-667. (崔阳, 吕志平, 陈正生, 等.多核环境下的GNSS网平差数据并行处理研究[J]. 测绘学报, 2013, 42(5): 661-667.)
[15] LV Zhiping, CHEN Zhengsheng, CUI Yang, et al. Distributed Processing of Large-scale CORS Network's Baseline Vectors[J]. Journal of Geomatics Science and Technology, 2013, 30(4): 433-438. (吕志平, 陈正生, 崔阳, 等. 大型CORS网基线向量的分布式处理[J]. 测绘科学技术学报, 2013, 30(4): 433-438.)
[16] DONG D, FANG P, BOCK Y, et al. Anatomy of Apparent Seasonal Variations from GPS-derived Site Position Time Series[J]. Journal of Geophysical Research, 2002, 107(B4): 2075. doi:10.1029/2001jb000573.
[17] HERRING T. Aspects of Large Station Networks for GPS Orbits and Clocks[C]//Proceedings of IGS Workshop and Symposium.Berne: IGS, 2004.
[18] YANG Ling, SHEN Yunzhong, LOU Lizhi. Equivalent Weight Robust Estimation Method Based on Median Parameter Estimates[J]. Acta Geodaetica et Cartographica Sinica, 2011, 40(1): 28-32. (杨玲, 沈云中, 楼立志. 基于中位参数数初值的等价权抗差估计方法[J]. 测绘学报, 2011, 40(1): 28-32.)
[19] LI Yan, HU Xiangyun, JIN Gangxie, et al. Research of 1-D Magnetotelluric Parallel Computation Based on MPI[J]. Progress in Geophysics, 2010, 25(5):1612-1616. (李焱, 胡祥云, 金刚燮, 等. 基于MPI的一维大地电磁并行计算研究[J]. 地球物理学进展, 2010, 25(5): 1612-1616.)
[20] NIE Linjuan, SHEN Wenbin, WANG Zhengta, et al. Application of Parallel Solutions Technology in Satellite Gravity Measurement[J]. Journal of Geodesy and Geodynamics, 2012, 32(2): 64-73. (聂琳娟, 申文斌, 王正涛, 等. 基于超级计算机平台的并行解技术在卫星重力测量中的应用[J]. 大地测量与地球动力学, 2012, 32(2): 64-73.)
[21] YANG Kai. Research on High Performance GNSS Normal Equation Processing Method Based on OpenMP [J]. Journal of Geodesy and Geodynamics, 2013, 33(1): 141-144. (杨凯. 基于OpenMp的高性能GNSS法方程解算方法研究[J]. 大地测量与地球动力学, 2013, 33(1): 141-144.)
[22] HILLAR G C. Professional Parallel Programming with C#: Master Parallel Extensions with .NET4[M]. Beijing: Tsinghua University Press, 2012. (HILLAR G C. C#并行编程高级教程: 精通.NET4 Parallel Extensions[M]. 北京: 清华大学出版社, 2012.)
Outlines

/