Paper [1] generalizes the Kalman Filter to nonlinear systems by transforming approximations of the probability distributions through the nonlinear process and measurement functions. This Comment derives exactly the same estimator by linearizing the process and measurement functions by a statistical linear regression through some sampling points (in contrast with the Extended Kalman Filter which uses an analytic linearization in one point). This insight allows (i) to understand/predict the performance of the estimator for specific applications and (ii) to make adaptations to the estimator (i.e., the choice of the sampling points and their weights) in those cases where the original formulation does not assure good results.
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