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回代解算的LAMBDA方法及其搜索空间
引用本文:周扬眉,刘经南,刘基余.回代解算的LAMBDA方法及其搜索空间[J].测绘学报,2005,34(4):300-304.
作者姓名:周扬眉  刘经南  刘基余
作者单位:武汉大学,GPS工程技术研究中心,湖北,武汉,430079;武汉大学,湖北,武汉,430072;武汉大学测绘学报,湖北,武汉,430079
摘    要:基于回代解算的序贯条件最小二乘技术和上三角的Cholesky分解算法,提出求解载波相位模糊度的一种新算法--回代解算的LAMBDA方法.该方法同Teunissen提出的LAMBDA方法相比,有着不同的目标函数和不同的搜索空间.实例试算表明这两种方法有着不同的执行过程,但有着相同的模糊度整数解和相当的搜索效率.

关 键 词:GPS精密相对定位  相位模糊度整数解  Cholesky分解  LAMBDA方法  搜索空间
文章编号:1001-1595(2005)04-0300-05
收稿时间:11 16 2004 12:00AM
修稿时间:2004-11-162005-06-27

Return-calculating LAMBDA Approach and Its Search Space
ZHOU Yang-mei,LIU Jing-nan,LIU Ji-yu.Return-calculating LAMBDA Approach and Its Search Space[J].Acta Geodaetica et Cartographica Sinica,2005,34(4):300-304.
Authors:ZHOU Yang-mei  LIU Jing-nan  LIU Ji-yu
Institution:1. GPS Engineering Technical Research Center, Wuhan University, Wuhan 430079 China; 2. President Office, Wuhan University, Wuhan 430072 China ; 3. Surveying and Mapping School,Wuhan University, Wuhan 430079 China
Abstract:Based on the return-calculating sequential conditional least-squares technique and the upper-triangular Cholesky decomposition algorithm, a new approach to resolve GPS carrier phase integer ambiguity solution, which is referred as Return-Calculating LAMBDA approach, has proposed in this paper. This approach has a different objective function and a different search space from LAMBDA approach proposed by Teunissen. It is shown by an example that though these two approaches have different performance process, but they have the same integer ambiguity solution and the equivalent search efficiency.
Keywords:GPS precise relative positioning  integer ambiguity solution  Cholesky decomposition  LAMBDA approach  ambiguity search space
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