Geometry-free stochastic analysis of BDS triple frequency signals

Yongchao Wang, Yanming Feng, Fu Zheng
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引用次数: 1

Abstract

The paper presents a geometry-free approach to assess the variation of covariance matrices of undifferenced triple frequency GNSS measurements and its impact on positioning solutions. Four independent geometryfree/ ionosphere-free (GFIF) models formed from original triple-frequency code and phase signals allow for effective computation of variance-covariance matrices using real data. Variance Component Estimation (VCE) algorithms are implemented to obtain the covariance matrices for three pseudorange and three carrier-phase signals epoch-by-epoch. Covariance results from the triple frequency Beidou System (BDS) and GPS data sets demonstrate that the estimated standard deviation varies in consistence with the amplitude of actual GFIF error time series. The single point positioning (SPP) results from BDS ionosphere-free measurements at four MGEX stations demonstrate an improvement of up to about 50% in Up direction relative to the results based on a mean square statistics. Additionally, a more extensive SPP analysis at 95 global MGEX stations based on GPS ionosphere-free measurements shows an average improvement of about 10% relative to the traditional results. This finding provides a preliminary confirmation that adequate consideration of the variation of covariance leads to the improvement of GNSS state solutions.
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北斗三频信号的无几何随机分析
本文提出了一种无几何关系的方法来评估无差分三频GNSS测量数据的协方差矩阵的变化及其对定位解的影响。由原始三频编码和相位信号形成的四个独立的无几何/无电离层(gif)模型允许使用实际数据有效地计算方差-协方差矩阵。采用方差分量估计(VCE)算法,逐历求出三个伪距信号和三个载波相位信号的协方差矩阵。北斗系统(BDS)和GPS三频数据集的协方差结果表明,估计的标准差与实际gif误差时间序列的幅值变化一致。4个MGEX站点的BDS无电离层单点定位(SPP)结果表明,与基于均方统计的结果相比,向上方向提高了约50%。此外,基于GPS无电离层测量的95个全球MGEX站的更广泛的SPP分析显示,与传统结果相比,平均提高了约10%。这一发现初步证实,充分考虑协方差的变化会导致GNSS状态解的改进。
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