1968IEEE Transactions on Automatic ControlRequires access

An approximation of the Kalman filter equations

C.H. Wells

Open publisher page 3 citations

Abstract

This correspondence presents the results of the application of the matrix inversion lemma to the Kalman filter equation. This operation eliminates the inversion process in the Kalman filter and enables one to sequentially compute the optimum estimate of the state without the use of the inversion process.

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What this paper is about

This correspondence presents the results of the application of the matrix inversion lemma to the Kalman filter equation. This operation eliminates the inversion process in the Kalman filter and enables one to sequentially compute the optimum estimate of the state without the use of the inversion process.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This correspondence presents the results of the application of the matrix inversion lemma to the Kalman filter equation. This operation eliminates the inversion process in the Kalman filter and enables one to sequentially compute the optimum estimate of the state without the use of the inversion process.

Key concepts: Ensemble Kalman filter, Kalman filter, Invariant extended Kalman filter, Fast Kalman filter, Alpha beta filter, Inversion (geology), Extended Kalman filter, Control theory (sociology)

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