GNSS Integer Ambiguity Estimation and Evaluation: LAMBDA and Ps-LAMBDA
GNSS Integer Ambiguity Estimation and Evaluation: LAMBDA and Ps-LAMBDA
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DOI：
10.1007/978-3-642-37404-3_26
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发表时间：
2013-12
期刊：
影响因子：
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通讯作者：
Bofeng Li;S. Verhagen;P. Teunissen
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文献类型：
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作者：
Bofeng Li;S. Verhagen;P. Teunissen
载波相位整周模糊度解算是高精度GNSS应用的关键。它包括整数估计和评价。对于整数估计，LAMBDA方法已经应用于各种GNSS应用中。然而，在进行模糊度解算之前，需要推断固定解预期有多可靠，因为不正确的固定模糊度解往往导致不可接受的定位误差。本文介绍了两个Matlab软件工具的评估和整数估计：Ps-LAMBDA和LAMBDA的更新版本。整数解的评估是基于模糊度成功率。由于成功率通常难以计算，Ps-LAMBDA软件提供了一些易于使用的近似值和界限。这种成功率工具不仅对于推断是否修复模糊性，而且对于设计和研究目的都是有价值的。对于整数估计，新版本LAMBDA软件提供了更多的整数估计和整数搜索选项，包括搜索和收缩策略。此外，还引入了比值检验来验证固定解的显著性。将这两个软件工具一起使用允许整数估计和评估的组合执行，从而有益于多频率、多GNSS应用。
Successful integer carrier-phase ambiguity resolution is crucial for high precision GNSS applications. It includes both integer estimation and evaluation. For integer estimation, the LAMBDA method has been applied in a wide variety of GNSS applications. However, before conducting ambiguity resolution, one needs to infer how reliable the fixed solution is expected to be, as incorrect fixed ambiguity solutions often lead to unacceptable positioning errors. In this paper, two Matlab software tools are introduced for the evaluation and integer estimation: Ps-LAMBDA and an updated version of LAMBDA. Evaluation of the integer solution is based on the ambiguity success rate. Since the success rate is generally difficult to compute, some easy-to-use approximations and bounds are provided by the Ps-LAMBDA software. This success rate tool is valuable not only for inferring whether to fix the ambiguities but also for design and research purposes. For the integer estimation, the new version LAMBDA software provides more options of integer estimation and integer search, including the search-and-shrink strategy. In addition, the ratio test is incorporated to validate the significance of the fixed solution. Using these two software tools together allows for the combined execution of integer estimation and evaluation, thus benefiting multi-frequency, multi-GNSS applications.