Kalman filter where does y_1 come from?

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SUMMARY

The discussion centers on the origin of the value \(y_1 = 0.9\) presented in a beamer presentation regarding the Kalman filter. This value is identified as a hypothetical measurement derived from sensor data, specifically representing the first observation of the float level. The notation \(y_i\) refers to the \(i\)th measurement in the context of the Kalman filter, emphasizing its role in the filtering process. The discussion clarifies that this value is not sourced from empirical data but is rather a theoretical construct used for illustrative purposes.

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Dustinsfl
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In this presentation, on page 7, they say due to noise \(y_1 = 0.9\). How or where did they get this value?

It isn't an article just a beamer presentation so going from page 1 - 7 is quick and easy.
 
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dwsmith said:
In this presentation, on page 7, they say due to noise \(y_1 = 0.9\). How or where did they get this value?

It isn't an article just a beamer presentation so going from page 1 - 7 is quick and easy.

It came out of the authors head, it is a hypothetical measurement that you might have gotten from the sensor. The $$y_i$$'s are the measurements (section 3 first sentence $${\bf{y}}=y$$ is the level of the float). So $$y_i$$ is the $$i$$ th observation (measurement) of the float level.

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