Robust Regional Ionospheric Augmentation Based on IRIM for PPP-RTK

Sijie Lyu, Yan Xiang, Wenxian Yu
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Abstract

Ionospheric corrections are crucial for PPP-RTK. Apart from the deterministic part of ionospheric corrections, the stochastic part is also essential in augmented high-precision positioning. An improper stochastic model will degrade the positioning performance even if the accurate ionospheric corrections are applied. In this paper, the satellite-specific ionospheric residual integrity monitoring (IRIM) index is broadcasted as a part of regional slant ionospheric model. The IRIM index is the 95% quantile of modeling residuals for each satellite representing the accuracy of ionospheric corrections. In the user end, we expand the IRIM index with a factor and regard it as the uncertainty of ionospheric corrections. It shows that 99.78% of uncertainty values wrap the residual. Then, positioning performances are compared among three modes, PPP-AR, PPP-RTK with fixed variance, and PPP-RTK with changed variance based on IRIM. Results show that PPP-RTK with proper variance shows the best performance both in positioning error and convergence time. Compared with PPP-AR, the positioning errors of IRIM-based PPP-RTK reduce from 0.032 m to 0.02m and 0.085 m to 0.044 m in horizontal and vertical direction, respectively. It is similar as the positioning errors of PPP-AR. As for the convergence time, PPP-RTK and IRIM-based PPP-RTK both converge within 1 min. But it takes PPP-AR 4.5 mins to converge.
基于IRIM的PPP-RTK鲁棒区域电离层增强
电离层修正对PPP-RTK至关重要。在增强型高精度定位中,除了电离层改正的确定性部分外,随机部分也是必不可少的。即使采用精确的电离层校正,不适当的随机模型也会降低定位性能。本文将卫星专用电离层剩余完整性监测(IRIM)指数作为区域倾斜电离层模型的一部分进行广播。IRIM指数是每颗卫星模拟残差的95%分位数,代表电离层校正的精度。在用户端,我们将IRIM指数扩展为一个因子,并将其视为电离层改正的不确定性。结果表明,99.78%的不确定度值包住了残差。然后,比较了基于IRIM的PPP-AR、固定方差PPP-RTK和变方差PPP-RTK三种定位模式的定位性能。结果表明,适当方差的PPP-RTK在定位误差和收敛时间上都有较好的表现。与PPP-AR相比,基于irm的PPP-RTK在水平方向和垂直方向的定位误差分别从0.032 m减小到0.02m和0.085 m减小到0.044 m。这与PPP-AR的定位误差类似。在收敛时间上,PPP-RTK和基于irm的PPP-RTK收敛时间均在1 min以内,而PPP-AR收敛时间为4.5 min。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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