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整数模糊度参数的快速检索算法
引用本文:葛茂荣,Huseyin Baki Iz,陈永奇.整数模糊度参数的快速检索算法[J].测绘学报,1998,27(2):99-104.
作者姓名:葛茂荣  Huseyin Baki Iz  陈永奇
作者单位:1. 清华大学土木工程系,北京,100084
2. 香港理工大学土地测量与地理资讯学系
摘    要:GPS快速定位中,由于模糊度参数之间的强相关性,模糊度参数置信区间定义的检索区域比相应的置信椭球大得多。本文通过模糊度参数向量的正交变换,定义出包含模糊度参数置信椭球的最小正交多面体,借助在其中构造的均匀正交网格点,找出置信椭球中的所有整数模糊度参数向量。该方法显著地减少了整数模糊度参数的检索范围,提高了计算效率。

关 键 词:整数模糊度求解  正交分解  GPS  检索算法

A FAST ALGORITHM FOR INTEGER AMBIGUITY SEARCHING
Ge Maorong,Huseyin Baki Iz,Chen Yong Qi.A FAST ALGORITHM FOR INTEGER AMBIGUITY SEARCHING[J].Acta Geodaetica et Cartographica Sinica,1998,27(2):99-104.
Authors:Ge Maorong  Huseyin Baki Iz  Chen Yong Qi
Abstract:The volume of the searching region defined by the confidence interval of each ambiguity parameter is markedly larger than that of the confidence ellipsoid of the ambiguity parameters in GPS fast static positioning, because the parameters are highly correlated. The minimum rectangular polyhedron containing the confidence ellipsoid is defined after the orthogonal transformation of the original ambiguity parameters. And an orthogonal partition is identified in the polyhedron. Then, all integer combinations in the confidence ellipsoid are detected with help of the grid points of the partition. This Grid Point Searching Algorithm (GRIPSA) greatly reduces the search region of the integer ambiguities, marked improvements are obtained in the computational effort.
Keywords:Integer ambiguity resolution  Orthogonal decomposition  GPS fast static positioning
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