Real-time simplified correction method for tropospheric refraction error
-
摘要: 对流层折射误差是影响雷达测量定位系统精度的主要因素之一。针对VMF1(Vienna Mapping Function 1)用于对流层折射误差修正时存在的实时性差、分辨率低的问题,引入GPT2w模型并提供分辨率为1°×1°的相关参数,结合Saastamoinen模型构建形成SG-VMF1模型。基于新模型和映射函数法的计算原理,对4个IGS(International GNSS Service)测站在不同高度角时的对流层折射误差进行估算,并与射线描迹法的计算结果进行对比分析。结果显示:以结合IGS实测气象数据的射线描迹法的计算结果为基准时,利用SG-VMF1模型及相关理论计算的结果在高度角大于6°时RMS值可达到0.4 m,在高度角大于30°时RMS值可达到0.1 m,计算方法可行有效,且具有实时性和较高的分辨率。Abstract: Tropospheric refraction error is one of the main factors that affect the accuracy of radar measurement and positioning system. In view of the poor real-time and low resolution of the Vienna Mapping Function 1 (VMF1) in refraction error correction, this paper introduces the GPT2w model that can provide some relevant parameters with a resolution of 1°×1°, and build a new model that named as SG-VMF1 by combining with the Saastamoinen model. Based on the new model and the calculation principle of the mapping function method, the tropospheric refraction error values of 4 International GNSS Service (IGS) stations at different elevation angles are estimated. The results demonstrate that when taking the results calculated by ray-tracing method based on IGS meteorological data as a reference, the RMS with the result of SG-VMF1 model and relevant calculation theory can reach 0.4 m when the elevation angle is 6°, and the RMS can reach 0.1 m when the elevation angle is greater than 30°. The new calculation method is feasible and effective, and with real-time and higher resolution.
-
Key words:
- tropospheric refraction error /
- error correction /
- mapping function method /
- real-time /
- GPT2w model /
- VMF1
-
表 1 IGS测站信息(按纬度升序排列)
Table 1. Information of IGS stations(In ascending order of latitude)
station θlat/(°N) θlon/(°E) height/m city TWTF 24.95 121.16 184.0 Taoyuan XIAN 34.37 109.22 498.5 Xi’an BJFS 39.61 115.89 98.3 Beijing URUM 43.59 87.63 917.9 Urumqi -
[1] 王红光, 吴振森, 朱庆林. 大气折射对雷达低仰角跟踪误差的影响分析[J]. 电子与信息学报, 2012, 34(8): 1893-1896. https://www.cnki.com.cn/Article/CJFDTOTAL-DZYX201208017.htmWang Hongguang, Wu Zhensen, Zhu Qinglin. Influence analysis of atmospheric refraction on low-angle radar tracing errors. Journal of Electronics & Information Technology, 2012, 34(8): 1893-1896 https://www.cnki.com.cn/Article/CJFDTOTAL-DZYX201208017.htm [2] 陈祥明. 大气折射率剖面模型与电波折射误差修正方法研究[D]. 青岛: 中国海洋大学, 2008: 34-36.Chen Xiangming. Studies on atmospheric refractivity profile model and radio wave refractive error correction method. Qingdao: Ocean University of China, 2008: 34-36 [3] 谢劭峰, 张朋飞, 王新桥, 等. 动态映射函数对GPS基线解算质量的影响[J]. 大地测量与地球动力学, 2017, 37(2): 192-195. https://www.cnki.com.cn/Article/CJFDTOTAL-DKXB201702017.htmXie Shao-feng, Zhang Pengfei, Wang Xinqiao, et al. Influence of dynamic mapping functions on GPS baseline quality. Journal of Geodesy and Geodynamics, 2017, 37(2): 192-195 https://www.cnki.com.cn/Article/CJFDTOTAL-DKXB201702017.htm [4] Niell A E. Global mapping functions for the atmosphere delay at radio wavelengths[J]. Journal of Geophysical Research Solid Earth, 1996, 101(B2): 3227-3246. doi: 10.1029/95JB03048 [5] Boehm J, Schuh H. Vienna mapping functions in VLBI analysis[J]. Geophysical Research Letters, 2004, 31: L01603. [6] Böhm J, Niell A, Tregoning P, et al. Global Mapping Function (GMF): A new empirical mapping function based on numerical weather model data[J]. Geophysical Research Letters, 2006, 33: L07304. [7] 姚宜斌, 徐星宇, 胡羽丰. GGOS对流层延迟产品精度分析及在PPP中的应用[J]. 测绘学报, 2017, 46(3): 278-287. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB201703003.htmYao Yibin, Xu Xingyu, Hu Yufeng. Precision analysis of GGOS tropospheric delay product and its application in PPP. Acta Geodaetica et Cartographica Sinica, 2017, 46(3): 278-287 https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB201703003.htm [8] 刘宗强, 党亚民, 杨强, 等. 对流层映射函数对陆态网解算精度的影响[J]. 测绘通报, 2017(5) : 6-10. https://www.cnki.com.cn/Article/CJFDTOTAL-CHTB201705002.htmLiu Zongqiang, Dang Yamin, Yang Qiang, et al. Influence of the tropospheric mapping function on the accuracy of CMONOC solution. Journal of Geodesy and Geodynamics, 2017(5): 6-10 https://www.cnki.com.cn/Article/CJFDTOTAL-CHTB201705002.htm [9] Schindelegger M, Pain G, Weber R, et al. Development of an improved empirical model for slant delays in the troposphere (GPT2w)[J]. GPS Solutions, 2015, 19(3): 433-441. doi: 10.1007/s10291-014-0403-7 [10] 施宏凯, 何秀凤, 王俊杰. 全球气压气温模型在中国地区的精度分析[J]. 大地测量与地球动力学, 2017, 37(8): 841-844. https://www.cnki.com.cn/Article/CJFDTOTAL-DKXB201708014.htmShi Hongkai, He Xiufeng, Wang Junjie. Accuracy analyses of global pressure and temperature model in China. Journal of Geodesy and Geodynamics, 2017, 37(8): 841-844 https://www.cnki.com.cn/Article/CJFDTOTAL-DKXB201708014.htm [11] 刘继业, 陈西宏, 刘赞. 对流层散射双向时间比对中对流层斜延迟估计[J]. 电子与信息学报, 2018, 38(3): 171-176. https://www.cnki.com.cn/Article/CJFDTOTAL-DZYX201803011.htmLiu Jiye, Chen Xihong, Liu Zan. Real-time estimation of tropospheric slant delay in two-way troposphere time transfer. Journal of Electronics & Information Technology, 2018, 38(3): 171-176 https://www.cnki.com.cn/Article/CJFDTOTAL-DZYX201803011.htm [12] Saastamoinen J. Atmospheric correction for troposphere and stratosphere in radio ranging of satellites[J]. Use of Artificial Satellites for Geodesy, 1972, 15(6): 247-251. [13] Hopfield H S. Two-quartic tropospheric refractivity profile for correcting satellite data[J]. Journal of Geophysical Research, 1969, 74(18): 4487-4499.