非差模型与双差模型的定位精度比较
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摘要
为了分析高精度GNSS数据处理中常用的双差模型和非差模型定位性能的差异,选取ITRF核心站组成长度不同但相对位置长期不变的基线,对2013年全年的有效数据分别采用两种模型进行解算,分析两者的相对坐标差异。结果表明:全年数据的非差解与双差解相对坐标的三维偏差序列的标准差达到8.2 mm,非差解与双差解存在定位偏差;非差解的相对坐标全年数据时间序列的平均标准差是(5.6,4.5,5.4) mm,而双差解是(3.4,3.1,4.0) mm,双差模型的解算精度和稳定性整体优于非差模型;随基线的增长,双差模型的差异呈现累积性,而非差模型的差异基本无变化,如42 m超短基线STJ2-STJO非差解和双差解全年数据的标准差分别为(6.2,4.8,5.7) mm和(3.0,2.9,3.0) mm,而487 km长基线HERS-WSRT则是(5.7,4.5,5.4) mm和(4.7,2.8,4.7) mm。
In order to analyze the difference of the positioning performance of the double-difference(DD) model and the un-difference(UD) model which are commonly used in the high-precision GNSS data processing, the ITRF core stations are selected to form the baselines with different lengths but the relative positions remain immutably. Two models are used respectively to calculating the continuous valid data for all of 2013, and then the difference of relative coordinates are analyzed. The result shows that the standard deviation(STD) of the three-dimension deviation sequence of UD and DD reaches 8.2 mm, means that the DD model and UD model exist positioning deviation. The average STD of the relative coordinate time series of UD solution is(5.6, 4.5, 5.4) mm, while the DD solution is(3.4, 3.1, 4.0) mm, it should be rather obvious that the accuracy and stability of the DD model are better than the UD model. Along with the growth of the baseline, the difference of DD solution is cumulative, whereas the difference of UD solution is mainly no change, such as the STD of UD and DD of the 42 m short baseline STJ2-STJO are respectively(6.2,4.8,5.7) mm and(3.0,2.9,3.0) mm, and the 487 km long baseline HERS-WSRT are(5.7,4.5,5.4) mm and(4.7,2.8,4.7) mm.
In order to analyze the difference of the positioning performance of the double-difference(DD) model and the un-difference(UD) model which are commonly used in the high-precision GNSS data processing, the ITRF core stations are selected to form the baselines with different lengths but the relative positions remain immutably. Two models are used respectively to calculating the continuous valid data for all of 2013, and then the difference of relative coordinates are analyzed. The result shows that the standard deviation(STD) of the three-dimension deviation sequence of UD and DD reaches 8.2 mm, means that the DD model and UD model exist positioning deviation. The average STD of the relative coordinate time series of UD solution is(5.6, 4.5, 5.4) mm, while the DD solution is(3.4, 3.1, 4.0) mm, it should be rather obvious that the accuracy and stability of the DD model are better than the UD model. Along with the growth of the baseline, the difference of DD solution is cumulative, whereas the difference of UD solution is mainly no change, such as the STD of UD and DD of the 42 m short baseline STJ2-STJO are respectively(6.2,4.8,5.7) mm and(3.0,2.9,3.0) mm, and the 487 km long baseline HERS-WSRT are(5.7,4.5,5.4) mm and(4.7,2.8,4.7) mm.
引文
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[4] 姜卫平,赵倩,刘鸿飞,等. 子网划分在大规模GNSS基准站网数据处理中的应用[J]. 武汉大学学报(信息科学版), 2011, 36(4): 389-391.
[5] ZUMBERGE J F, HEFLIN M B, JEFFERSON D C, et al. Precise Point Positioning for the Efficient and Robust Analysis of GPS Data from Large Networks[J]. Journal of Geophysical Research, 1997, 102(B3):5005-5018.
[6] Gao Y, Kongzhe C. Performance analysis of Precise Point Positioning using real-time orbit and clock products[J]. Journal of Global Positioning Systems, 2004, 3(1-2):95-100.
[7] 黄令勇,刘宇玺,辛国栋,等. 不同系统组合的精密单点定位性能分析[J]. 国防科技大学学报, 2017, 39(3): 30-35.
[8] 刘焱雄, 彭琳, 周兴华, 等. 网解和PPP解的等价性[J]. 武汉大学学报(信息科学版), 2005, 30(8):736-738.
[9] RIZOS C, JANSSEN V, ROBERTS C, et al. Precise Point Positioning: Is the Era of Differential GNSS Positioning Drawing to an End? FIG Working Week[J]. Rome, Italy,2015(5):6-10.
[10] 崔阳,陈正生,吕志平,等. 非差模式的GNSS数据并行解算设计及实现[J]. 测绘科学技术学报, 2015,32(6):565-569.
[11] 崔阳,吕志平,李林阳,等. GNSS大网双差模型并行快速解算方法[J]. 测绘学报,2017,46(7):848-856.
[2] BLEWITT G. Fixed point theorems of GPS carrier phase ambiguity resolution and their application to massive network processing: Ambizap [J]. Journal of Geophysical Research, 2008, 113(B12410).
[3] 程传录,蒋光伟,聂建亮,等. 利用双差的超大GNSS基准站网解算方法改进[J]. 武汉大学学报(信息科学版), 2014, 39(5): 596-599.
[4] 姜卫平,赵倩,刘鸿飞,等. 子网划分在大规模GNSS基准站网数据处理中的应用[J]. 武汉大学学报(信息科学版), 2011, 36(4): 389-391.
[5] ZUMBERGE J F, HEFLIN M B, JEFFERSON D C, et al. Precise Point Positioning for the Efficient and Robust Analysis of GPS Data from Large Networks[J]. Journal of Geophysical Research, 1997, 102(B3):5005-5018.
[6] Gao Y, Kongzhe C. Performance analysis of Precise Point Positioning using real-time orbit and clock products[J]. Journal of Global Positioning Systems, 2004, 3(1-2):95-100.
[7] 黄令勇,刘宇玺,辛国栋,等. 不同系统组合的精密单点定位性能分析[J]. 国防科技大学学报, 2017, 39(3): 30-35.
[8] 刘焱雄, 彭琳, 周兴华, 等. 网解和PPP解的等价性[J]. 武汉大学学报(信息科学版), 2005, 30(8):736-738.
[9] RIZOS C, JANSSEN V, ROBERTS C, et al. Precise Point Positioning: Is the Era of Differential GNSS Positioning Drawing to an End? FIG Working Week[J]. Rome, Italy,2015(5):6-10.
[10] 崔阳,陈正生,吕志平,等. 非差模式的GNSS数据并行解算设计及实现[J]. 测绘科学技术学报, 2015,32(6):565-569.
[11] 崔阳,吕志平,李林阳,等. GNSS大网双差模型并行快速解算方法[J]. 测绘学报,2017,46(7):848-856.