Recursive method for optimum GPS satellite selection

The author addresses the problem of selecting an optimum n-satellite subset from m visible satellites (m>n). The optimality criteria is minimum geometric dilution of precision (GDOP) subject to the integrity constraint. To solve this problem an efficient algorithm is developed using a revolving d...

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Bibliographic Details
Published inIEEE transactions on aerospace and electronic systems Vol. 37; no. 2; pp. 751 - 754
Main Author Phatak, M.S.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.04.2001
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Aircraft components
Covariance matrix
Doors
Fault detection
Global Positioning System
Integrity
Inversions
Minimization methods
Monitoring
Navigation
Optimization
Satellite navigation systems
Satellites
Signal processing
Signal processing algorithms
Time measurement
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ISSN0018-9251
1557-9603
DOI10.1109/7.937488

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Summary:The author addresses the problem of selecting an optimum n-satellite subset from m visible satellites (m>n). The optimality criteria is minimum geometric dilution of precision (GDOP) subject to the integrity constraint. To solve this problem an efficient algorithm is developed using a revolving door method and matrix inversion lemma. The revolving door method generates each n-subset from its immediate predecessor by deleting some single element and adjoining some other single element. Then using the matrix inversion lemma, the GDOP for each new n-subset is recursively calculated from the incoming and outgoing elements. The matrix inversion lemma is also used to check the satisfaction of the integrity constraint.
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ISSN:0018-9251
1557-9603
DOI:10.1109/7.937488