A new ambiguity acceptance test threshold determination method with controllable failure rate
A new ambiguity acceptance test threshold determination method with controllable failure rate
复制标题
DOI：
10.1007/s00190-014-0780-2
复制
发表时间：
2015-04-01
影响因子：
4.4
通讯作者：
Verhagen, Sandra
中科院分区：
文献类型：
--
作者：
Wang, Lei;Verhagen, Sandra
模糊度验收测试是高精度GNSS数据处理过程中的重要质量控制环节。虽然模糊度验收测试方法已经得到了广泛的研究，但其阈值的确定方法仍然没有得到很好的理解。目前，阈值是用经验方法或固定故障率（FF-）方法确定的。经验方法简单但缺乏理论基础，而FF方法理论严谨但计算要求高。因此，阈值确定问题的关键是如何以合理的方式有效地确定阈值。在这项研究中，一个新的阈值确定方法命名为阈值函数法，以减少FF方法的复杂性。阈值函数法通过建模过程和近似过程简化了FF方法。建模过程使用有理函数模型来描述FF差异测试阈值与整数最小二乘（ILS）成功率之间的关系。近似过程用易于计算的整数自举（IB）成功率代替ILS成功率。利用仿真数据分析了相应的建模误差和逼近误差，以避免干扰偏差和不切实际的随机模型影响。结果表明，该方法可以大大简化FF方法，而不会引入显着的建模误差。阈值函数法使得固定故障率阈值确定方法在实时应用中可行。
The ambiguity acceptance test is an important quality control procedure in high precision GNSS data processing. Although the ambiguity acceptance test methods have been extensively investigated, its threshold determine method is still not well understood. Currently, the threshold is determined with the empirical approach or the fixed failure rate (FF-) approach. The empirical approach is simple but lacking in theoretical basis, while the FF-approach is theoretical rigorous but computationally demanding. Hence, the key of the threshold determination problem is how to efficiently determine the threshold in a reasonable way. In this study, a new threshold determination method named threshold function method is proposed to reduce the complexity of the FF-approach. The threshold function method simplifies the FF-approach by a modeling procedure and an approximation procedure. The modeling procedure uses a rational function model to describe the relationship between the FF-difference test threshold and the integer least-squares (ILS) success rate. The approximation procedure replaces the ILS success rate with the easy-to-calculate integer bootstrapping (IB) success rate. Corresponding modeling error and approximation error are analysed with simulation data to avoid nuisance biases and unrealistic stochastic model impact. The results indicate the proposed method can greatly simplify the FF-approach without introducing significant modeling error. The threshold function method makes the fixed failure rate threshold determination method feasible for real-time applications.