IEEE Transactions on Aerospace and Electronic Systems · 1997 · 100 citations · 14 references
ComputingRobotics EngineeringGlobal Navigation Satellite SystemsOptimizationUncertainty QuantificationAttitude DeterminationKalman FilteringLocalization UncertaintyNavigation SystemsPose EstimationState EstimationA Posteriori AnalysisInertial NavigationInertial Navigation SystemsState Vector EstimationState Vector FormalismState Vector Formulation
The problem of course alignment of inertial navigation systems is considered. Error equations of nonlinear character have been obtained at a considerable level of a priori course uncertainty. The algorithm for solving the problem of optimal estimation of the state vector described by nonlinear equations from linear measurements has been developed for the analysis of a potential alignment accuracy with the piecewise-Gaussian approximation of a posteriori density used. The results of the study of efficiency of various suboptimal alignment algorithms obtained by the use of the software developed are presented and discussed.
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Recursive bayesian estimation using gaussian sums
H.W. Sorenson, D. Alspach · Automatica · 1971 · 948 citations
Charles Broxmeyer, C. I. Leondes · Journal of Applied Mechanics · 1964 · 164 citations · Full text