Abstract | ||
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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 |
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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. Roncagliolo | 1 | 4 | 0.55 |
J. G. García | 2 | 4 | 0.55 |
P. I. Mercader | 3 | 4 | 0.55 |
daniel r fuhrmann | 4 | 5 | 2.01 |
C. Muravchik | 5 | 543 | 68.59 |