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Analysis of Wide-Lane Ambiguities Derived from Geometry-Free and Geometry-Based Precise Point Positioning Models and Their Implication for Orbit and Clock Quality

机译:从无几何和基于几何的精确点定位模型得出的宽车道歧义分析及其对轨道和时钟质量的影响

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摘要

Orbit and clock products are used in real-time global navigation satellite systems (GNSS) precise point positioning (PPP) without knowing their quality. This study develops a new approach to detect orbit and clock errors through comparing geometry-free and geometry-based wide-lane ambiguities in a PPP model. The reparameterization and estimation procedures of the geometry-free and geometry-based ambiguities are described in detail. The effects of orbit and clock errors on ambiguities are given in analytical expressions. The numerical similarity and differences of geometry-free and geometry-based wide-lane ambiguities are analyzed using different orbit and clock products. Furthermore, two types of typical errors in orbit and clock are simulated and their effects on wide-lane ambiguities are numerically produced and analyzed. The contribution discloses that the geometry-free and geometry-based wide-lane ambiguities are equivalent in terms of their formal errors. Although they are very close in terms of their estimates when the used orbit and clock for geometry-based ambiguities are precise enough, they are not the same, in particular, in the case that the used orbit and clock, as a combination, contain significant errors. It is discovered that the discrepancies of geometry-free and geometry-based wide-lane ambiguities coincide with the actual time-variant errors in the used orbit and clock at the line-of-sight direction. This provides a quality index for real-time users to detect the errors in real-time orbit and clock products, which potentially improves the accuracy of positioning.
机译:轨道和时钟产品用于实时全球导航卫星系统(GNSS)的精确点定位(PPP),而不知道其质量。这项研究通过在PPP模型中比较无几何图形和基于几何图形的宽车道歧义,开发了一种检测轨道和时钟误差的新方法。详细描述了无几何模糊和基于几何模糊的重新参数化和估计过程。解析表达式中给出了轨道和时钟误差对歧义的影响。使用不同的轨道和时钟乘积分析了无几何形状和基于几何形状的宽车道歧义的数值相似性和差异。此外,还模拟了两种典型的轨道和时钟误差,并通过数值分析了它们对宽车道歧义的影响。该贡献公开了无几何形状和基于几何形状的宽车道歧义在形式误差方面是等效的。尽管当基于几何的歧义的已用轨道和时钟足够精确时,它们的估计值非常接近,但是它们并不相同,特别是在已用轨道和时钟组合在一起包含大量有效值的情况下错误。发现无几何和基于几何的宽车道歧义的差异与所使用的轨道和时钟在视线方向上的实际时变误差一致。这为实时用户提供了一种质量指标,以检测实时轨道和时钟产品中的错误,从而有可能提高定位的准确性。

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