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Null-Space Square-Root Information Filtering and Smoothing for Singular Problems
Journal of Guidance, Control, and Dynamics, 2005A new algorithm that does square-root information filtering and fixed-interval smoothing has been developed for singular discrete-time estimation problems. Singular measurements arise if one uses a Markov measurement error model or if one uses the quaternion normalization constraint in an attitude determination problem.
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Square-root information filtering and smoothing for precision orbit determination
1982Square root information filtering and smoothing has, over the last few years, come to be recognized as a reliable and effective method for computing numerically accurate estimates in problems where high precision is required. Unfortunately, the algorithms employed often project an image of being too costly in terms of both computation and storage ...
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Gain-free square root information filtering using the spectral decomposition
Journal of Guidance, Control, and Dynamics, 1989A new square root state estimation algorithm is introduced, that operates in the information mode in both the time and the measurement update stages. The algorithm, called the V-Lambda filter, is based on the spectral decomposition of the covariance matrix into a V-Lambda-V exp T form, where V is the matrix whose columns are the eigenvectors of the ...
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A Square-root Version Distributed Nonlinear Filter Based on Information Consensus
2019 22th International Conference on Information Fusion (FUSION), 2019Jun Liu 0050 +5 more
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