High Quality Content by WIKIPEDIA articles! The Kalman filter is an
efficient recursive filter that estimates the state of a linear
dynamic system from a series of noisy measurements. It is used in a
wide range of engineering and econometric applications from radar
and computer vision to estimation of structural macroeconomic
models, and is an important topic in control theory and control
systems engineering. Together with the linear-quadratic regulator
(LQR), the Kalman filter solves the linear-quadratic-Gaussian
control problem (LQG). The Kalman filter, the linear-quadratic
regulator and the linear-quadratic-Gaussian controller are
solutions to what probably are the most fundamental problems in
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