对流层延迟模型的残差包络建模

doi:10.11947/j.AGCS.2023.20220231

测绘学报 ›› 2023, Vol. 52 ›› Issue (6): 895-903.doi: 10.11947/j.AGCS.2023.20220231

对流层延迟模型的残差包络建模

符运日, 杨玲, 沈云中, 李博峰

同济大学测绘与地理信息学院, 上海 200092

收稿日期:2022-03-31 修回日期:2023-02-10 发布日期:2023-07-08
通讯作者: 杨玲 E-mail:lingyang@tongji.edu.cn
作者简介:符运日(1999-),男,博士生,研究方向为GNSS大气延迟残差的完好性参数估计。E-mail:fuyunri@tongji.edu.cn
基金资助:
国家自然科学基金(42274030;41874004);中央高校基本科研业务费专项资金(22120210522)

Residuals overbounding modeling of the tropospheric delay models

FU Yunri, YANG Ling, SHEN Yunzhong, LI Bofeng

College of Surveying and Geo-informatics, Tongji University, Shanghai 200092, China

Received:2022-03-31 Revised:2023-02-10 Published:2023-07-08
Supported by:
The National Natural Science Foundation of China (Nos. 42274030; 41874004); Fundamental Research Funds for the Central Universities (No. 22120210522)

摘要/Abstract

摘要： 全球导航卫星系统(GNSS)的信号在穿过对流层时会产生延迟,通常使用经验模型对其进行修正。为确保定位结果安全可信,需建立经模型改正后的对流延迟残余误差的包络模型,用于位置服务的完好性监测。航空无线电技术委员会(radio technical committee for aeronautics,RTCA)推荐航空中使用0.12 m作为天顶对流层延迟残差的包络标准差。这一常值设定忽略了对流层延迟残余误差的地理和季节性变化,一定程度上降低了GNSS在涉及生命安全(safety of life,SoL)应用中的连续性和可用性。本文同时考虑经模型改正后的对流层延迟残余误差的地理和季节性变化,利用极值分析法建立了这些残余误差的包络模型。首先,将2000—2017年间共18 a的对流层延迟残差以10°为一带分纬度带进行日标准化,以提取对流层延迟残差的季节性变化信息;然后,用广义极值(general extreme value,GEV)分布分别拟合标准化残差和原始残差日均值的年最大、最小值,进而计算在10^-7概率水平下的残差限值;最后,将残差限值转化为包络标准差。本文分别建立了GPT2w、UNB3和Saastamoinen模型的残差包络模型,并利用IGS对流层天顶总延迟(total zenith path delay,ZPD)产品验证了包络模型的有效性。试验结果表明,建立的残差包络模型是保守且可用的,对于UNB3模型,所计算的包络标准差变化区间为0.05~0.12 m,相较于MOPS规定的0.12 m常值,降幅达4.1%~57%,有效提高了GNSS服务在SoL应用中的连续性和可用性;对于GPT2w和Saastamoinen模型而言,其残差的包络标准差分别在0.03~0.08 m和0.06~0.14 m区间内。

关键词: 完好性, 对流层延迟残差, 包络模型, GEV

Abstract: The satellite signals of the global navigation satellite system (GNSS) will be delayed when traveling through the troposphere, and these delays can be corrected by using empirical models. To ensure safe and reliable positioning, an overbounding model of tropospheric delay residuals after model correction should be established to monitor the integrity of positioning services. The radio technical committee for aeronautics (RTCA) recommended that the overbounding standard deviation of the zenith tropospheric delay used in aviation is 0.12 m. However, this constant value does not consider the geographical and seasonal variation of the tropospheric delay residuals, which would reduce the continuity and availability of GNSS in safety of life (SoL) applications. Considering the geographical and seasonal variations of the tropospheric delay residuals, the extreme value analysis is used to establish the overbounding model of the tropospheric delay residuals. Firstly, total 18-year residuals were standardized for each 10° latitude band to extract the seasonal variation. Then the general extreme value (GEV) distribution was fitted to the annual maximum and minimum values of the standardized residuals, and the extreme values at a probability of 10^-7 were calculated with the fitted parameters. Finally, the extreme values were converted to the overbounding standard deviation. The overbounding models of three tropospheric delay models, including GPT2w, UNB3 and Saastamoinen, are established by using this method, and the bounding performance of these models is validated by using the international GNSS service (IGS) tropospheric delay products. The residuals show that the overbounding model is conservative and available. For the UNB3 model, the calculated range of overbounding standard deviation is 0.05~0.12 m, which decreases by 4.1% to 57% compared with the constant value of 0.12 m specified by MOPS, effectively improving the continuity and availability of GNSS service in SoL application. For GPT2w and Saastamoinen models, the range of overbounding standard deviation is 0.03~0.08 m and 0.06~0.14 m, respectively.

Key words: integrity, residual tropospheric delay, overbounding model, GEV

中图分类号:

P227

符运日, 杨玲, 沈云中, 李博峰. 对流层延迟模型的残差包络建模[J]. 测绘学报, 2023, 52(6): 895-903.

FU Yunri, YANG Ling, SHEN Yunzhong, LI Bofeng. Residuals overbounding modeling of the tropospheric delay models[J]. Acta Geodaetica et Cartographica Sinica, 2023, 52(6): 895-903.

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对流层延迟模型的残差包络建模

Residuals overbounding modeling of the tropospheric delay models

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