I am studying some signal and I am trying to make an automated algorithm that can extract the parameters for my signal. First let me describe a bit, I have a light emiting object crossing a window of observation with a given speed. That object is an elipse, thus when I measure the signal I find something that looks like a flat top gaussian. (see scheme)
I have been using a Gaussian Mixture Model to describe it, but because the top is flatten, it finds many more distribution than what is actually there ! Thus I am looking for a mathematical function that could describe that kind of signal, so that I can implement a least square regression or something along those line. Idealy that function would have a "variance" and a "mean" parameter such that I can make analysis about those two later on. Thanks a lot !