MHB Kalman filter where does y_1 come from?

AI Thread Summary
The value \(y_1 = 0.9\) in the presentation is a hypothetical measurement derived from sensor data, reflecting noise in the system. It represents the first observation of the float level, denoted as \(y_i\) in the context of the Kalman filter. The discussion clarifies that this value is not based on empirical data but rather a conceptual example. The authors likely used this figure to illustrate the impact of noise on measurements. Understanding this context is crucial for interpreting the Kalman filter's application in the presentation.
Dustinsfl
Messages
2,217
Reaction score
5
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.
 
Mathematics news on Phys.org
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.

.
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

Similar threads

Back
Top