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Estimation of Linear Systems with Abrupt Changes of the Noise Covariances Using Variational Bayes Algorithm

Henri Pesonen,Robert Piché-2019-08-28-Tampere University Institutional Repository (Tampere University)

TL;DRAbstract

The variational Bayes method is applied to the state-space estimation problem with maneuvers or changes in the covariance of the observation noise. The resulting algorithm is an off-line batch method that can be used to provide a baseline performance estimation results for the recursive methods. In addition to batch methods we introduce a heuristic approach to make the algorithm on-line. Through simulations we show how the introduced method achieves the best accuracy out of all compared approximative estimation methods.

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The variational Bayes method is applied to the state-space estimation problem with maneuvers or changes in the covariance of the observation noise. The resulting algorithm is an off-line batch method that can be used to provide a baseline performance estimation results for the recursive methods. In addition to batch methods we introduce a heuristic approach to make the algorithm on-line. Through simulations we show how the introduced method achieves the best accuracy out of all compared approximative estimation methods.

Keywords

AlgorithmBayes' theoremNoise (video)CovarianceHeuristicLine (geometry)Computer scienceMathematical optimization

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