How to associate a bandpass filter response with the common filter response types?

hi guys I designed a bandpass filter with a new type o capacitive coupling for my project. The problem is how do I associate the filter response which I got with the common filter response types such as Butterworth, Chebyshev and Gaussian? How do I determine the type of my filter's response? What are the characteristics of these responses which I could compare and associate with my design's response? Thanks alot.

Use ADS or Genesys for filter design

What I used to do in those situations is I would see what type of coupling capacitance was predicted by the closed form equations, put that series capacitor into an analysis program and simulate its S21, and then I would analyze my new type of coupling means AT THE MIDBAND OF THE BANDPASS, and get the new coupling mechanism to match the S21 of the lumped capacitor. It would get you pretty close.