The Bayesian approach applied to GPS ambiguity resolution.: A mixture model for the discrete-real ambiguities alternative

被引:13
作者
de Lacy, MC [1 ]
Sansò, F
Rodriguez-Caderot, G
Gil, AJ
机构
[1] Politecn Milan, Fac Ingn Como, I-20133 Milan, Italy
[2] Univ Complutense Madrid, Fac CC Matemat, Secc Dept Astron & Geodesia, Madrid, Spain
[3] Univ Jaen, Dept Ingn Geodes Cartog & Fotogrametria, Jaen, Spain
关键词
mixture model; Bayesian approach; Monte Carlo simulation; ambiguity resolution;
D O I
10.1007/s00190-001-0226-5
中图分类号
P3 [地球物理学]; P59 [地球化学];
学科分类号
0708 ; 070902 ;
摘要
The problem of phase ambiguity resolution in: global positioning system (GPS) theory is considered. The Bayesian approach is applied to this problem and, using Monte Carlo simulation to search over the integer candidates, a practical expression for, the Bayesian estimator is. obtained. The analysis of the integer grid points inside, the search ellipsoid and their evolution with time, while measurements are accumulated, leads to the development of a Bayesian theory based on, a mathematical mixture model for the ambiguity.
引用
收藏
页码:82 / 94
页数:13
相关论文
共 14 条
[1]  
Betti B., 1993, Manuscripta Geodaetica, V18, P317
[2]  
BETTI B, 1996, MEMORY PROF A GUBELL, P237
[3]  
BEUTLER G, 1990, MANUSCR GEODAET, V15, P325
[4]   CARRIER PHASE AMBIGUITY RESOLUTION FOR THE GLOBAL POSITIONING SYSTEM APPLIED TO GEODETIC BASELINES UP TO 2000 KM [J].
BLEWITT, G .
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH AND PLANETS, 1989, 94 (B8) :10187-10203
[5]  
Box GEP, 1992, BAYESIAN INFERENCE S, DOI DOI 10.1002/9781118033197.CH4
[6]  
GIL AJ, 2001, CUENCA GRANDA, P198
[7]  
GUNDICH B, UNPUB J GEOD
[8]  
Jennings A., 1977, MATRIX COMPUTATION E
[9]  
Press W. H., 1996, NUMERICAL RECIPES FO
[10]  
Ross Sheldon M., 1997, Introduction to Probability Models, Vsixth