基于格理论的高维模糊度快速解算方法研究

项目名称： 基于格理论的高维模糊度快速解算方法研究

项目编号： No.41204030

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 地球物理学和空间物理学

项目作者： 刘万科

作者单位： 武汉大学

项目金额： 25万元

中文摘要： 本项目旨在研究高维模糊度快速解算的理论与方法；扩展目前的LLL格基规约及Seysen规约条件，实现基于格理论的高维模糊度的高效降相关，显著减小搜索空间，提高Bootstrap成功率；提出广度优先的K-Bootstrap模糊度搜索方法，建立K值与模糊度的维数及精度之间的数学模型，实现K值的合理选取，减少搜索时间；基于贝叶斯估计，推导建立高维模糊度及模糊度存在偏差情况下的可靠性检验方法，确保整周模糊度解算的正确性；建立较为完整的基于格理论的高维模糊度快速解算的理论方法和核心算法，为将来实现多模GNSS实时载波相位精密定位提供技术方法支撑。高维模糊度的快速解算已成为当今国际卫星导航定位领域的研究热点和前沿。本选题符合卫星导航定位技术的发展趋势。研究条件基本成熟，有望取得一些创新性的研究成果，丰富卫星导航数据处理理论。研究具有重要的学术价值和很好的应用前景。

中文关键词： 高维模糊度；快速解算；模糊度确认；格基规约；三频模糊度解算

英文摘要： The proposal is focusing on the research of the theories and methods of the fast high-dimension ambiguity resolution. In the proposal, the current LLL lattice basis reduction and Seysen reduction are extended, and the efficient decorrelation of the high-dimension ambiguity resolution based on the lattice theory is realized, which decrease the search scopes and enhance the Bootstrap's success rate.Also, based on the breadth-first-search，the K-Bootstrap's ambiguity resolution is proposed, and the relation between the reasonably-selected K-value, and the dimension and the precision of the ambiguity is found,which reduce the search time. With the theory of Bayes estimation, the method of the reality test of high-dimension ambiguity is duduced and built to validate the effectiveness of the searched ambiguity, and the situation when the found ambiguity has bias is also taken into account.The theories and methods of the fast high-dimension ambiguity resolution based on the lattice theory are built perfectly, which will be the technical fundaments of the precise positioning by the carrier phases with multi-system GNSS in the future. Nowadays, the fast high-dimension ambiguity resolution has been the hot problem in GNSS. In this situation, the of the proposal is of academic and practical significance. Also, it's expecte

英文关键词： High-dimensional ambiguity；Fast ambiguity estimation；Ambiguity validation；lattice reduction；Triple Frequency ambiguity resolution