Age | Commit message (Collapse) | Author |
|
This commit updates path_eval() to calculate theta0 using the residual
scattering RMS for a truncated KL expansion. Since there isn't a nice closed
form solution for this, we instead compute a rough approximation by evaluating
the residual scattering RMS at the center of the track.
|
|
|
|
|
|
This commit updates the likelihood fit to use the KL path expansion. Currently,
I'm just using one coefficient for the path in both x and y.
|
|
To fit the path of muons and electrons I use the Karhunen-Loeve expansion of a
random 2D walk in the polar angle in x and y. This allows you to decompose the
path into a sum over sine functions whose coefficients become random variables.
The nice thing about fitting the path in this way is that you can capture
*most* of the variation in the path using a small number of variables by only
summing over the first N terms in the expansion and it is easy to calculate the
probability of the coefficients since they are all uncorrelated.
|