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Butterworth filter transfer function in t-domain as a RooAbsReal

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Butterworth filter transfer function in t-domain

This project is implementation of Butterworth filter transfer function in t-domain as a RooFit RooAbsReal class.

StackExchange thread

This Signal Processing SE thread is devoted to the Butterworth transfer function in t-domain and provides a lot of useful information.

Test plots

In the abovementioned SE thread Ed V provided analytical expression of h(t) of the order 3. I used this fact to check my algorithm:

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Butterworth filter transfer function in t-domain as a RooAbsReal

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