The source code here is in MATLAB (can convert to any language of choice).

core algorithms: funcs directory

simulations: cases-sim, sim directory

In this paper, the five-percent maximum overshoot design of uniformly damped binomial filters (transfer functions) is introduced. To extend the maximum overshoot response of the second-order Butterworth to higher orders, the binomial theorem is extended to the uniformly damped binomial theorem.

Read here: https://rdcu.be/cFRy2

Published here: https://link.springer.com/article/10.1007%2Fs00034-021-01931-2