Hi All,
I am present using a kalman filter to predict the future motion of a ball that has been thrown. I have at present implemented a simple model of the situation with gravity and air resistance. However, I have only modelled air resistance as directly proportional to speed.
- I am tracking the ball (a cricket balls motion) over a distance of about
- If I do go for a model with air resistance as proportional to speed squared, any suggestions how I can fit it to the kalman setup i.e.
X(t+1) = A.X(t)
where X(t+1) and X(t) are column vectors of x,x speed, y, y speed. and A is the relating matrix between the current state and the state at t+1 of the aformentioned variables. Maybe I need to have a different things in my column vectors? But they are the things I can calculate.
Note:- I have tracked the third dimension, but I am just trying to get the idea of all of this, so only considering 2d at the mo.
Adam