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authortlatorre <tlatorre@uchicago.edu>2018-08-27 10:12:17 -0500
committertlatorre <tlatorre@uchicago.edu>2018-08-27 10:12:17 -0500
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add code to expand the track of a particle using a KL expansion
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.
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