Abstract: The Kalman filter is related to linear systems and produces iteratively the state estimation taking into account the current measurement, the previous input, and the previous estimation. Percentage metrics are proposed for the participation of the measurement, the previous input and the previous estimation in Kalman Filter estimation. The proposed metrics depend on the known measurements and inputs and the known system parameters. These metrics are introduced for time varying, time invariant and steady state Kalman filter.
Nicholas Assimakis, Maria Adam, "Measurement, Input, and Previous Estimation Contribution Metrics in Kalman Filter Estimation," WSEAS Transactions on Systems, vol. 25, pp. 495-507, 2026, DOI:10.37394/23202.2026.25.39
Nicholas Assimakis, Maria Adam. Measurement, Input, and Previous Estimation Contribution Metrics in Kalman Filter Estimation.
WSEAS Transactions on Systems. 2026;25:495-507. 10.37394/23202.2026.25.39