hope y'all beings safe out here and doing well.
I am trying to create a single stage biquad (2nd Order) butter worth filter using MATLAB's filter designer tool.
Just to see, I tried plugging back the filter coefficients that MATLAB give out into a discrete transfer function and then converting that discrete transfer function to a continuous transfer function using the "D2C" command using tustin just to see what I would get (Hopefully something close to what I designed).
Behold, I get roughly the same, but with a huge DC gain? I am curious as to where this came from?
Bode Plot of D2C:
Transfer Function (DISCRETE):
Transfer Function (CONTINOUS USING TUSTIN from D2C command):