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In fact, every new observation updates the estimate of all the substructures including the observed transition.
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Figure 8 shows how position and orientation measurements are incorporated in the observation update steps.
Then, these error measurements are incorporated using the standard Kalman observation update equations.
The essential of the Bayesian filter is the prediction process and observation update process, which are defined as follows: (5) (6).
The proposed algorithm can be decomposed into two steps : time updating and observation updating that uses a switching estimation Kalman-like gain matrix.
Position and orientation measurements will be used to update the a priori estimates at state to a posteriori estimates in the observation update steps of the Kalman filters.
Moreover, with the essential similarity to PF algorithm, DRMBL deals with the location estimation problem by means of prediction and observation update process.
According to the result of detection, we use the equivalent weight matrix to place more emphasis on the results of dead reckoning of the gyroscope measurements and less on the magnetic observation update.
To solve this problem, we propose an indirect Kalman filter with two-step observations update, which makes the magnetic disturbance only influence the output of heading and not affect the estimated pitch and roll angles.
We generated another version of our simulation scheme to account for this possibility and found an overall event yield similar to wild type values, better matching our experimental observations (Updated Figure 7D).
It was a message for the living not the dead, full of the usual mundanity -- incidental observations and updates, cheering wishes.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com