Title
Maximum-likelihood attitude estimation using GPS signals
Abstract
The maximum likelihood estimator (MLE) for a vehicle's attitude using signals received from GPS satellites is derived in this paper. A statistical model of the measured phase double-differences is developed to form the likelihood function. The attitude is represented by a rotation matrix, a member of the group of 3x3 special orthogonal matrices. A steepest descent-like maximization algorithm is derived, that guarantees that the estimates belong to this manifold. Experimental results illustrate the performance and the importance of considering the right correlation between measurements.
Year
DOI
Venue
2007
10.1016/j.dsp.2006.09.001
Digital Signal Processing
Keywords
Field
DocType
measured phase double-differences,gps satellite,maximum likelihood estimator,attitude measurement,rotation matrix,gps signal,right correlation,likelihood function,statistical model,special orthogonal matrix,global positioning system,maximum likelihood estimation,steepest descent-like maximization algorithm,nonlinear optimization,maximum-likelihood attitude estimation,maximum likelihood,maximum likelihood estimate,steepest descent
Rotation matrix,Mathematical optimization,Score test,Likelihood function,Likelihood-ratio test,Expectation–maximization algorithm,Estimation theory,Statistics,Maximum likelihood sequence estimation,GPS signals,Mathematics
Journal
Volume
Issue
ISSN
17
6
Digital Signal Processing
Citations 
PageRank 
References 
4
0.55
0
Authors
5
Name
Order
Citations
PageRank
P. A. Roncagliolo140.55
J. G. García240.55
P. I. Mercader340.55
daniel r fuhrmann452.01
C. Muravchik554368.59