论文

北斗三频伪距相关随机模型单站建模方法

展开
  • 1. 地理信息工程国家重点实验室, 陕西 西安 710054;
    2. 中国天绘卫星中心, 北京 102102;
    3. 信息工程大学地理信息学院, 河南 郑州 450002;
    4. 31002部队, 北京 100195
黄令勇(1987-),男,博士,工程师,主要从事GNSS精密定位和航天遥感测绘处理理论与方法研究。E-mail:hlylj87@126.com

收稿日期: 2016-11-25

  修回日期: 2016-12-20

  网络出版日期: 2017-05-20

基金资助

国家自然科学基金(41674019;41274013);地理信息工程国家重点实验室开发基金(SKLGIE2015-M-2-1)

The BDS Triple Frequency Pseudo-range Correlated Stochastic Model of Single Station Modeling Method

Expand
  • 1. State Key Laboratory of Geo-information Engineering, Xi'an 710054, China;
    2. China Aerospace Surveying and Mapping Satellite Center, Beijing 102102, China;
    3. Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450002, China;
    4. The 31002 Troops, Beijing 100695, China

Received date: 2016-11-25

  Revised date: 2016-12-20

  Online published: 2017-05-20

Supported by

The National Natural Science Foundation of China (Nos. 41674019;41274013);The State Key Laboratory of Geo-information Engineering Foundation(No. SKLGIE 2015-M-2-1)

摘要

为了提供可靠的伪距随机模型,基于3个线性无关的北斗三频伪距/载波无几何无电离层(GIF)组合,研究了一种利用单站数据估计北斗三频伪距相关随机模型算法。该算法首先利用低阶多项式对GIF组合进行拟合,以尽可能消除非伪距噪声以外的其他常数和误差,然后利用多元线性回归分析实现对3个线性无关的GIF组合随机噪声同时建模,最后再由线性组合关系变换得到原始北斗三频伪距相关随机模型。经北斗三频实测数据验证结果表明,该算法可实现北斗非差三频伪距相关随机模型的单站解算,有利于为导航定位以及完好性监测提供精准随机模型。

本文引用格式

黄令勇, 吕志平, 吕浩, 宫轶松 . 北斗三频伪距相关随机模型单站建模方法[J]. 测绘学报, 2016 , 45(S2) : 165 -171 . DOI: 10.11947/j.AGCS.2016.F038

Abstract

In order to provide a reliable pseudo-range stochastic model, a method is studied to estimate the BDS triple-frequency pseudo-range related stochastic model based on three BDS triple-frequency pseudo-range minus carrier (GIF) combinations using the data of a single station. In this algorithm, the low order polynomial fitting method is used to fit the GIF combination in order to eliminate the error and other constants except non pseudo noise at first. And then, multiple linear regression analysis method is used to model the stochastic function of three linearly independent GIF combinations. Finally the related stochastic model of the original BDS triple-frequency pseudo-range observations is obtained by linear transformation. The BDS triple-frequency data verification results show that this algorithm can get a single station related stochastic model of BDS triple-frequency pseudo-range observation, and it is advantageous to provide accurate stochastic model for navigation and positioning and integrity monitoring.

参考文献

[1] 李博峰. 混合整数GNSS函数模型及随机模型参数估计理论与方法[D]. 上海:同济大学, 2010. LI Bofeng. Theory and Method of Parameter Estimation for Mixed Integer GNSS Function and Stochastic Models[D]. Shanghai:Tongji University, 2010.
[2] 何海波, 杨元喜. GPS观测量先验方差-协方差矩阵实时估计[J]. 测绘学报, 2001, 30(1):42-47. DOI:10.3321/j.issn:1001-1595.2001.01.009. HE Haibo, YANG Yuanxi. Real-time Estimation of a Prior Variance-Covariance for GPS Observations[J]. Acta Geodaetica et Cartographica Sinica, 2001, 30(1):42-47. DOI:10.3321/j.issn:1001-1595.2001.01.009.
[3] EUELER H J, GOAD C C. On Optimal Filtering of GPS Dual Frequency Observations without Using Orbit Information[J]. Bulletin Géodésique, 1991, 65(2):130-143.
[4] SHEN Yunzhong, LI Bofeng, XU Guochang. Simplified Equivalent Multiple Baseline Solutions with Elevation-dependent Weights[J]. GPS Solutions, 2009, 13(3):165-171.
[5] 张小红, 丁乐乐. 北斗二代观测值质量分析及随机模型精化[J]. 武汉大学学报(信息科学版), 2013, 38(7):832-836. ZHANG Xiaohong, DING Lele. Quality Analysis of the Second Generation Compass Observables and Stochastic Model Refining[J]. Geomatics and Information Science of Wuhan University, 2013, 38(7):832-836.
[6] WANG J, SATIRAPOD C, RIZOS C. Stochastic Assessment of GPS Carrier Phase Measurements for Precise Static Relative Positioning[J]. Journal of Geodesy, 2002, 76(2):95-104.
[7] 张小红, 朱锋, 薛学铭, 等. 利用Allan方差分析GPS非差随机模型特性[J]. 测绘学报, 2015, 44(2):119-127. DOI:10.11947/j.AGCS.2015.20130513. ZHANG Xiaohong, ZHU Feng, XUE Xueming, et al. Using Allan Variance to Analyze the Zero-differenced Stochastic Model Characteristics of GPS[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(2):119-127. DOI:10.11947/j.AGCS.2015.20130513.
[8] 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.
[9] 程鹏飞, 李玮, 秘金钟. 北斗导航卫星系统测距信号的精度分析[J]. 测绘学报, 2012, 41(5):690-695, 708. CHENG Pengfei, LI Wei, BEI Jinzhong. Precision Analysis of BeiDou Range Measurement Signals[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(5):690-695, 708.
[10] FENG Yanming, WANG Yongchao, WANG Charles, et al. Analyses of Signal-in-space Integrity with Undifferenced Triple Frequency Code and Phase Measurements[R]. Nanjing:CSNC2014, 2014.
[11] FENG Yanming. Computing Covariance Matrices of Line-of-Sight GNSS Triple Frequency Signals[R]. Wuhan:GNSS Summer School, Wuhan University, 2016.
[12] WANG Yongchao, FENG Yanming, ZHENG Fu. Geometry-Free Stochastic Analysis of BDS Triple Frequency Signals[C]//Proceedings of the 2016 International Technical Meeting of the Institute of Navigation. Monterey, California:The Institute of Navigation, 2016:956-969.
[13] 黄令勇, 翟国君, 欧阳永忠, 等. 削弱电离层影响的三频TurboEdit周跳处理方法[J]. 测绘学报, 2015, 44(8):840-847, 883. DOI:10.11947/j.AGCS.2015.20140380. HUANG Lingyong, ZHAI Guojun, OUYANG Yongzhong, et al. Triple-Frequency TurboEdit Cycle-Slip Processing Method of Weakening Ionospheric Activity[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(8):840-847, 883. DOI:10.11947/j.AGCS.2015.20140380.
[14] 黄令勇, 翟国君, 欧阳永忠, 等. 三频GNSS电离层周跳处理[J]. 测绘学报, 2015, 44(7):717-725. DOI:10.11947/j.AGCS.2015.20140348. HUANG Lingyong, ZHAI Guojun, OUYANG Yongzhong, et al. Ionospheric Cycle Slip Processing in Triple-Frequency GNSS[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(7):717-725. DOI:10.11947/j.AGCS.2015.20140348.
[15] LIU Xianglin, TIBERIUS C, DE JONG K. Modelling of Differential Single Difference Receiver Clock Bias for Precise Positioning[J]. GPS Solutions, 2004, 7(4):209-221.
[16] GAO Y, HEROUX P, KOUBA J. Estimation of GPS Receiver and Satellite L1/L2 Signal Delay Biases Using Data from CACS[C]//Proceedings of the KIS-94. Banff, Canada:[s.n.], 1994:109-117.
文章导航

/