The least-squares ambiguity decorrelation adjustment: A method for fast GPS integer ambiguity estimation

被引：1488

作者：

Teunissen, PJG

机构：

[1] Delft Geodetic Computing Centre (LGR), Faculty of Geodetic Engineering, Delft University of Technology, Delft, 2629 JA

来源：

JOURNAL OF GEODESY | 1995年 / 70卷 / 1-2期

关键词：

D O I：

10.1007/BF00863419

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 GPS double difference carrier phase measurements are ambiguous by an unknown integer number of cycles. High precision relative GPS positioning based on short observational timespan data, is possible, when reliable estimates of the integer double difference ambiguities can be determined in an efficient manner. In this contribution a new method is introduced that enables very fast integer least-squares estimation of the ambiguities. The method makes use of an ambiguity transformation that allows one to reformulate the original ambiguity estimation problem as a new problem that is much easier to solve. The transformation aims at decorrelating the least-squares ambiguities and is based on an integer approximation of the conditional least-squares transformation. This least-squares ambiguity decorrelation approach, flattens the typical discontinuity in the GPS-spectrum of ambiguity conditional variances and returns new ambiguities that show a dramatic improvement in correlation and precision. As a result, the search for the transformed integer least-squares ambiguities can be performed in a highly efficient manner.

引用

页码：65 / 82

页数：18

共 31 条

[11]

FREI E, 1991, GEODETIC GEOPHYSICAL, V44

[12]

GOAD C, 1992, P 6 INT GEOD S SAT P, P245

[13]

GOAD CC, 1985, P 1 INT S PREC POS G, V1, P347

[14]

Golub G E, 1986, MATRIX COMPUTATIONS

[15]

Hatch R., 1989, Proceedings of ION GPS-89. Second International Technical Meeting of the Satellite Division of the Institute of Navigation, P45

[16]

Hatch R., 1986, P 4 INT GEOD S SAT P, V2, P1287

[17]

HATCH R, 1991, P IAG INT S 107 KIN, P299

[18]

HOFMANNWELLENHO.B, 1988, GPS TECHNIQUES APPL

[19]

KLEUSBERG A, 1990, P 2 INT S PREC POS G, P1102

[20]

LENSTRA HW, 1981, 8103 U AMST DEP MATH

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