Integer aperture ambiguity resolution based on difference test
Integer aperture ambiguity resolution based on difference test
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DOI：
10.1007/s00190-015-0806-4
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发表时间：
2015-03
影响因子：
4.4
通讯作者：
Jingyu Zhang;Mei-ping Wu;Tao Li;Kaidong Zhang
中科院分区：
文献类型：
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作者：
Jingyu Zhang;Mei-ping Wu;Tao Li;Kaidong Zhang
载波相位整数模糊度分辨率（IAR）是实现全球卫星导航系统（GNSS）高精度、快速定位和姿态确定的关键。它可以看作是估计载波相位观测值作为整数的未知周期模糊度的过程。一旦确定了模糊性，载波相位数据将作为非常精确的距离数据。整数孔径（IA）模糊度分辨率是验收测试和整数模糊度分辨率的结合，可以更好地实现IAR的质量控制。差分测试（DT）是最流行的验收测试之一。本文将详细分析基于DT的IA歧义分解的以下特性：从几何的角度推导了DT的最尖锐和宽松的上界。这些边界非常简单，易于计算，它给出了DT.2的临界值范围。首先给出了DT整数孔径自举（IAB）估计量的定义。对DT-IAB和DT-IA之间的关系进行了深入的研究，这也首次为IAB和IA最小二乘估计提供了一个新的视角。基于整数最小二乘和整数自举估计中次优整数候选的性质，从另一个角度给出了DT-IA的定义，该定义在数学上等价于DT-IA的原定义。首先导出了DT-IA估计器成功率下界和上界的解析表达式。然后，DT-IA估计量的质量度量可以完全计算为不需要测量的整数估计量。给出了DT-IA成功率的锐界和松界，便于对成功率进行估计，也为DT-IA估计器提供了合理的近似。通过单个和组合GNSS仿真实验验证了上述结论。实验结果表明了这些结论的正确性。这些性质证明了DT-IA估计器的特殊性质，也为研究其他IA估计器提供了研究框架。这有助于今后更好地利用IA估计器进行质量控制和精确定位。
Carrier-phase integer ambiguity resolution (IAR) is the key to highly precise, fast positioning and attitude determination with Global Navigation Satellite System (GNSS). It can be seen as the process of estimating the unknown cycle ambiguities of the carrier-phase observations as integers. Once the ambiguities are fixed, carrier phase data will act as the very precise range data. Integer aperture (IA) ambiguity resolution is the combination of acceptance testing and integer ambiguity resolution, which can realize better quality control of IAR. Difference test (DT) is one of the most popular acceptance tests. This contribution will give a detailed analysis about the following properties of IA ambiguity resolution based on DT:1.The sharpest and loose upper bounds of DT are derived from the perspective of geometry. These bounds are very simple and easy to be computed, which give the range for the critical values of DT.2.The definition of DT integer aperture bootstrapping (IAB) estimator is firstly given. The relationships between DT-IAB and DT-IA are deeply investigated, which also firstly give a new perspective to review the IAB and IA least square (IALS) estimators.3.Based on the properties of the second best integer candidates in integer least square and integer bootstrapping estimators, the definition of DT-IA is given from another perspective, which is mathematically equivalent to its original definition.4.The analytical expressions of the success rate lower bound and upper bound of DT-IA estimator are firstly derived. Then, the quality measure for DT-IA estimator can be completely calculated as integer estimator without measurements. Both sharp and loose bounds of DT-IA success rate are given so that the success rates are easily evaluated, which also can provide reasonable approximation for DT-IA estimator.All these conclusions are verified based on the single and combination GNSS simulation experiments. The experiment results indicate the correctness of these conclusions. These properties demonstrate the special properties of DT-IA estimator, and also provide the research frame to investigate other IA estimators. They are helpful to realize better use of IA estimators in quality control and precise positioning in future.