北斗/GPS抗差移动窗口定权位移探测

doi:10.11947/j.AGCS.2016.F028

测绘学报 ›› 2016, Vol. 45 ›› Issue (S2): 72-81.doi: 10.11947/j.AGCS.2016.F028

北斗/GPS抗差移动窗口定权位移探测

张云龙¹, 杨松林¹, 罗晓燕², 房建宏³, 邱冬炜⁴

1. 北京交通大学土木建筑工程学院, 北京 100044;
2. 北京市测绘设计研究院城市空间信息工程北京市重点实验室, 北京 100038;
3. 青海省交通科学研究院, 青海西宁 810001;
4. 北京建筑大学测绘与城市空间信息学院, 北京 100044

收稿日期:2016-11-25 修回日期:2016-12-20 出版日期:2017-05-20 发布日期:2017-05-20
作者简介:张云龙(1988-),男,博士生,研究方向为GNSS数据处理理论与应用,GNSS监测系统集成开发。E-mail:13115311@bjtu.edu.cn
基金资助:
城市空间信息工程北京市重点实验室经费（2016101）；中国住房和城乡建设部科学技术项目（2015K8050）

BeiDou/GPS Displacement Detection Using Robust Weighting Based on Moving Window

ZHANG Yunlong¹, YANG Songlin¹, LUO Xiaoyan², FANG Jianhong³, QIU Dongwei⁴

1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China;
2. Beijing Key Laboratory of Urban Spatial Information Engineering, Beijing Institute of Surveying and Mapping, Beijing 100038, China;
3. Qinghai Research Institute of Transportation, Xining 810001, China;
4. School of Surveying and Urban Spatial Information, Beijing University of Civil Engineering and Architecture, Beijing 100044, China

Received:2016-11-25 Revised:2016-12-20 Online:2017-05-20 Published:2017-05-20
Supported by:
The Beijing Key Laboratory of Urban Spatial Information Engineering (No. 2016101);The Science and Technology Project of MOHURD (No. 2015K8050)

摘要/Abstract

摘要：

蠕变状态下Kalman定位精度通常与观测值方差有极大关系，BDS （BeiDou Navigation Satellite System）/GPS组合观测值方差易受观测值权比精确度的影响。为了提高位移探测精度、缩短初始坐标收敛时间及降低监测成本，本文采用时钟同步双天线BDS/GPS接收机，在构建单频单差组合定位模型基础上，分别对GPS和BDS观测值等价权进行抗差处理，利用引入时间相关遗忘因子的Helmert方差估计，精确确定GPS与BDS观测值权比，最后通过实时更新观测值方差，实现扩展Kalman滤波的逐历元定位。试验结果表明，针对短基线（1 km），BDS/GPS抗差精密定权Kalman方法可显著缩短初始坐标收敛时间，位移探测精度可达到亚毫米级，位移收敛速率与移动窗口参数基本成反比关系，适用于具有蠕变特征形变体的监测。

关键词: BDS, GPS, 单频单差定位模型, 抗差精密定权, 位移探测, 亚毫米级精度

Abstract:

The positioning accuracy of Kalman model under creep deformation condition is closely related to the observation variance, which can be affected by the accuracy of weight ratio of GPS and BDS observations. To improve displacement detection accuracy, shorten convergence time of initial coordinate and reduce monitoring cost, firstly the BDS/GPS single-frequency single-difference combination model is set up by using clock-synchronized dual-antenna BDS/GPS receiver. Then the equivalent weights of GPS and BDS observations are robustly determined respectively, and the Helmert variance component estimated by introducing time-correlated forgetting factor is used to achieve the precise weight ratio between GPS and BDS observations. Finally the coordinates are calculated using the extended Kalman filter by updating observed variance in real-time. According to the experiment, for the short baseline (1 km), BDS/GPS robust precise weighting Kalman method can shorten convergence time of initial coordinate significantly, which is suitable for monitoring the deformation body with creep characteristics, and the displacement detection accuracy can reach sub-millimeter level. Moreover the displacement convergence rate is inversely related to the length of moving window approximately.

Key words: BDS, GPS, single-frequency single-difference positioning model, robust precise weighting, displacement detection, sub-millimeter accuracy

中图分类号:

P228

张云龙, 杨松林, 罗晓燕, 房建宏, 邱冬炜. 北斗/GPS抗差移动窗口定权位移探测[J]. 测绘学报, 2016, 45(S2): 72-81.

ZHANG Yunlong, YANG Songlin, LUO Xiaoyan, FANG Jianhong, QIU Dongwei. BeiDou/GPS Displacement Detection Using Robust Weighting Based on Moving Window[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(S2): 72-81.

参考文献

[1] PAN S G, GAO W, WANG S L, et al. Analysis of Ill Posedness in Double Differential Ambiguity Resolution of BDS[J]. Survey Review, 2014, 46(339):411-416.
[2] 王胜利, 王庆, 杨徉, 等. 北斗IGSO/GEO/MEO卫星联合高精度定位方法[J]. 中国惯性技术学报, 2013, 21(6):792-796. WANG Shengli, WANG Qing, YANG Yang, et al. Method of High-precision Joint Positioning of Satellite IGSO/GEO/MEO[J]. Journal of Chinese Inertial Technology, 2013, 21(6):792-796.
[3] 肖玉钢, 姜卫平, 陈华, 等. 北斗卫星导航系统的毫米级精度变形监测算法与实现[J]. 测绘学报, 2016, 45(1):16-21. DOI:10.11947/j.AGCS.2016.20140649. XIAO Yugang, JIANG Weiping, CHEN Hua, et al. Research and Realization of Deformation Monitoring Algorithm with Millimeter Level Precision Based on BeiDou Navigation Satellite System[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(1):16-21. DOI:10.11947/j.AGCS.2016.20140649.
[4] 姚宜斌, 胡明贤, 许超钤. 基于DREAMNET的GPS/BDS/GLONASS多系统网络RTK定位性能分析[J]. 测绘学报, 2016, 45(9):1009-1018. DOI:10.11947/j.AGCS.2016.20160133. YAO Yibin, HU Mingxian, XU Chaoqian. Positioning Accuracy Analysis of GPS/BDS/GLONASS Network RTK Based on DREAMNET[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(9):1009-1018. DOI:10.11947/j.AGCS.2016.20160133.
[5] 高星伟, 过静珺, 程鹏飞, 等. 基于时空系统统一的北斗与GPS融合定位[J]. 测绘学报, 2012, 41(5):743-748, 755. GAO Xingwei, GUO Jingjun, CHENG Pengfei, et al. Fusion Positioning of BeiDou/GPS Based on Spatio Temporal System Unification[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(5):743-748, 755.
[6] 王光鼎, 张升康, 杨汝良. 基于北斗无源与GLONASS导航系统的卫星组合导航用户位置计算[J]. 测绘学报, 2007, 36(4):377-382. DOI:10.3321/j.issn:1001-1595.2007.04.004. WANG Guangding, ZHANG Shengkang,YANG Ruliang. User Position Computation Based on Passive BeiDou and GLONASS Navigation System Combination[J]. Acta Geodaetica et Cartographica Sinica, 2007, 36(4):377-382. DOI:10.3321/j.issn:1001-1595.2007.04.004.
[7] 杨元喜,高为广. 基于方差分量估计的自适应融合导航[J]. 测绘学报,2004,33(1):22-26. YANG Yuanxi,GAO Weiguang. Integrated Navigation by Using Variance Component Estimates of Multi-sensor Measurements and Adaptive Weights of Dynamic Model Information[J]. Acta Geodaetica et Cartographica Sinica,2004,33(1):22-26.
[8] 段举举,沈云中. GPS/GLONASS组合静态相位相对定位算法[J]. 测绘学报,2012,41(6):825-830. DUAN Juju,SHEN Yunzhong. An Algorithm of Combined GPS/GLONASS Static Relative Positioning[J]. Acta Geodaetica et Cartographica Sinica,2012,41(6):825-830.
[9] 杨元喜, 徐天河. 基于移动开窗法协方差估计和方差分量估计的自适应滤波[J]. 武汉大学学报(信息科学版), 2003, 28(6):714-718. YANG Yuanxi, XU Tianhe. An Adaptive Kalman Filter Combining Variance Component Estimation with Covariance Matrix Estimation Based on Moving Window[J]. Geomatics and Information Science of Wuhan University, 2003, 28(6):714-718.
[10] 周泽波, 沈云中, 李博峰. GPS/Doppler导航随机模型的移动窗口实时估计算法[J]. 测绘学报, 2011, 40(2):220-225. ZHOU Zebo, SHEN Yunzhong, LI Bofeng. Moving Time-window Based Real-time Estimation Algorithm for the Stochastic Model of GPS/Doppler Navigation[J]. Acta Geodaetica et Cartographica Sinica, 2011, 40(2):220-225.
[11] 王利. 地质灾害高精度GPS监测关键技术研究[D]. 西安:长安大学, 2014. WANG Li. A Study on Key Technology of High Precision GPS Monitoring for Geological Hazard[D]. Xi'an:Chang'an University, 2014.
[12] 高旺, 高成发, 潘树国, 等. 北斗三频宽巷组合网络RTK单历元定位方法[J]. 测绘学报, 2015, 44(6):641-648. DOI:10.11947/j.AGCS.2015.20140308. GAO Wang, GAO Chengfa, PAN Shuguo, et al. Single-epoch Positioning Method in Network RTK with BDS Triple-frequency Widelane Combinations[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(6):641-648. DOI:10.11947/j.AGCS.2015.20140308.
[13] HE Xiufeng,SANG Wengang,CHEN Yongqi,et al. Steep-slope Monitoring:GPS Multiple-antenna System at Xiaowan Dam[J]. GPS World, 2005, 16(11):20-25.
[14] CINA A, PIRAS M. Performance of Low-cost GNSS Receiver for Landslides Monitoring:Test and Results[J]. Geomatics, Natural Hazards and Risk, 2015, 6(5-7):497-514.
[15] CHANG Xiaowen, PAIGE C C, YIN Lan. Code and Carrier Phase Based Short Baseline GPS Positioning:Computational Aspects[J]. GPS Solutions, 2004, 7(4):230-240.
[16] 任光辉. 基线约束的GPS单历元定向技术研究与实现[D]. 上海:上海交通大学, 2013. REN Guanghui. Single Epoch GPS Orientation Determination Method and Realization with Baseline Constraint[D]. Shanghai:Shanghai Jiao Tong University, 2013.
[17] 段荣, 赵修斌, 庞春雷, 等. 改进的GPS整周模糊度动态快速解算[J]. 华中科技大学学报(自然科学版), 2014, 42(9):54-58. DUAN Rong, ZHAO Xiubin, PANG Chunlei, et al. Modified Algorithm for GPS Rapid Integer Ambiguity Resolution[J]. Journal of Huazhong University of Science and Technology (Natural Science Edition), 2014, 42(9):54-58.
[18] KUBO N. Advantage of Velocity Measurements on Instantaneous RTK Positioning[J]. GPS Solutions, 2009, 13(4):271-280.
[19] 王世进, 秘金钟, 李得海, 等. GPS/BDS的RTK定位算法研究[J]. 武汉大学学报(信息科学版), 2014, 39(5):621-625. WANG Shijin, BEI Jinzhong, LI Dehai, et al. Real-time Kinematic Positioning Algorithm of GPS/BDS[J]. Geomatics and Information Science of Wuhan University, 2014, 39(5):621-625.
[20] 龚循强, 李志林. 稳健加权总体最小二乘法[J]. 测绘学报, 2014, 43(9):888-894. DOI:10.13485/j.cnki.11-2089.2014.0140. GONG Xunqiang, LI Zhilin. A Robust Weighted Total Least Squares Method[J]. Acta Geodaetica et Cartographica Sinica, 2014, 43(9):888-894. DOI:10.13485/j.cnki.11-2089.2014.0140.
[21] 蔡艳辉, 程鹏飞, 李夕银. 用卡尔曼滤波进行GPS动态定位[J]. 测绘通报, 2006(7):6-8. CAI Yanhui, CHENG Pengfei, LI Xiyin. Kinematic Point Positioning with Kalman Filtering[J]. Bulletin of Surveying and Mapping, 2006(7):6-8.
[22] YANG Yuanxi,SONG Lijie,XU Tianhe.Robust Estimator for Correlated Observations Based on Bifactor Equivalent Weights[J]. Journal of Geodesy, 2002, 76(6-7):353-358.
[23] 王彬, 李建成, 高井祥, 等. 抗差加权整体最小二乘模型的牛顿-高斯算法[J]. 测绘学报,2015,44(6):602-608. DOI:10.11947/j.AGCS.2015.20130704. WANG Bin,LI Jiancheng,GAO Jingxiang,et al. Newton-Gauss Algorithm of Robust Weighted Total Least Squares Model[J]. Acta Geodaetica et Cartographica Sinica,2015,44(6):602-608. DOI:10.11947/j.AGCS.2015.20130704.
[24] 周江文. 经典误差理论与抗差估计[J].测绘学报,1989,18(2):115-120. ZHOU Jiangwen. Classic Theory of Errors and Robust Estimation[J]. Acta Geodaetica et Cartographica Sinica,1989,18(2):115-120.
[25] 陶叶青,高井祥,姚一飞. 基于中位数法的抗差总体最小二乘估计[J]. 测绘学报,2016,45(3):297-301. DOI:10.11947/j.AGCS.2016.20150234. TAO Yeqing,GAO Jingxiang,YAO Yifei. Solution for Robust Total Least Squares Estimation Based on Median Method[J]. Acta Geodaetica et Cartographica Sinica,2016,45(3):297-301. DOI:10.11947/j.AGCS.2016.20150234.
[26] 高晓, 戴吾蛟. 抗差Helmert方差分量估计在GPS/BDS组合定位中的应用[J]. 大地测量与地球动力学, 2014, 34(1):173-176. GAO Xiao, DAI Wujiao. Application of Robust Helmert Variance Component Estimation to Position in Combination of GPS and BDS[J]. Journal of Geodesy and Geodynamics, 2014, 34(1):173-176.
[27] GROVES P D. Principles of GNSS, Inertial, and Multisensor Integrated Navigation Systems[M]. 2nd ed.[S.l.]:Artech House, 2013.
[28] KALMAN R E. A New Approach to Linear Filtering and Prediction Problems[J]. Journal of Basic Engineering, 1960, 82(1):35-45.
[29] ZHAO Sihao, CUI Xiaowei, GUAN Feng, et al. A Kalman Filter-based Short Baseline RTK Algorithm for Single-frequency Combination of GPS and BDS[J]. Sensors, 2014, 14(8):15415-15433.
[30] 何秀凤, 桑文刚, 贾东振. 基于GPS的高边坡形变监测方法[J]. 水利学报, 2006, 37(6):746-750. HE Xiufeng, SANG Wengang, JIA Dongzhen. Deformation Monitoring of Steep Rock Slopes by Means of GPS[J]. Journal of Hydraulic Engineering, 2006, 37(6):746-750.

北斗/GPS抗差移动窗口定权位移探测

BeiDou/GPS Displacement Detection Using Robust Weighting Based on Moving Window

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