Validation gate

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Source: SLAM for Dummies

An observed landmark is associated to a landmark if the following holds

$$ \begin{aligned} v_i^T S_i^{-1} v_i \leq \lambda \end{aligned} $$

$v$innovation
$S$innovation covariance

The validation gate makes use of the fact that the EKF implementation gives a bound on the uncertainty of an observation of a landmark .

  • Is an observed LM a LM in the database?
  • Check if the observed LM lies within the area of uncertainty
  • Can usually be shown in a graphic (error ellipse)