DocumentCode :
2580995
Title :
A novel Bayesian ambiguity resolution technique for GNSS high precision positioning
Author :
García, Javier G. ; Roncagliolo, Pedro A. ; Muravchik, Carlos H.
Author_Institution :
Dto. Electrotecnia, Control e Instrumentacion (LEICI), La Plata, Argentina
fYear :
2012
fDate :
23-26 April 2012
Firstpage :
692
Lastpage :
699
Abstract :
A novel technique based on the Bayesian philosophy for the joint estimation of real and integer parameters in a linear model of measurements is presented. This technique is applied to the GNSS carrier phase ambiguity resolution problem, that is key for high precision positioning applications. The integer parameters are assumed to take values on a finite set, and the real ones are considered as a realization of a Gaussian random vector. Then, the posterior distribution of these parameters is sequentially determined as new measurements are incorporated. The obtained distribution is a mixed one, with a Gaussian continuous part and a discrete part that accounts for the probability of each of the elements of the finite set. From this posterior distribution, estimators for the integer and real parameters are derived. A MAP (Maximum A Posteriori) estimator modified with the addition of a confidence threshold is used for the integer part and a MMSE (Minimum Mean Squared Error) is used for the real parameters. The good performance of the proposed technique is illustrated through simulations where different satellite visibility conditions are considered. In addition, successful experimental results of high precision baseline estimation are also presented.
Keywords :
Bayes methods; Gaussian distribution; integer programming; maximum likelihood estimation; satellite navigation; Bayesian ambiguity resolution technique; GNSS high precision positioning; Gaussian random vector; MAP estimator; MMSE; high precision baseline estimation; integer parameters; joint estimation; linear model; maximum a posteriori estimator; minimum mean squared error; posterior distribution; probability; satellite; Geophysical measurements; Geophysics; Navigation; Satellites; Bayesian Estimation; Carrier Phase Ambiguity Resolution; GNSS; Integer Parameter Estimation;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Position Location and Navigation Symposium (PLANS), 2012 IEEE/ION
Conference_Location :
Myrtle Beach, SC
ISSN :
2153-358X
Print_ISBN :
978-1-4673-0385-9
Type :
conf
DOI :
10.1109/PLANS.2012.6236945
Filename :
6236945
Link To Document :
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