NDLI: Integer estimation in the presence of biases

Content Provider	Springer Nature Link
Author	Teunissen, P. J. G.
Copyright Year	2001
Abstract	Carrier phase ambiguity resolution is the key to fast and high-precision GNSS (Global Navigation Satellite System) kinematic positioning. Critical in the application of ambiguity resolution is the quality of the computed integer ambiguities. Unsuccessful ambiguity resolution, when passed unnoticed, will too often lead to unacceptable errors in the positioning results. Very high success rates are therefore required for ambiguity resolution to be reliable. Biases which are unaccounted for will lower the success rate and thus increase the chance of unsuccessful ambiguity resolution. The performance of integer ambiguity estimation in the presence of such biases is studied. Particular attention is given to integer rounding, integer bootstrapping and integer least squares. Lower and upper bounds, as well as an exact and easy-to-compute formula for the bias-affected success rate, are presented. These results will enable the evaluation of the bias robustness of ambiguity resolution.
Starting Page	399
Ending Page	407
Page Count	9
File Format	PDF
ISSN	09497714
Journal	Journal of Geodesy
Volume Number	75
Issue Number	7-8
e-ISSN	14321394
Language	English
Publisher	Springer-Verlag
Publisher Date	2001-09-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Geophysics Geochemistry and Petrology Computers in Earth Sciences

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Integer estimation in the presence of biases