So let me get back:
hmmm, But how is it possible to plug those S-domain coefficients into a TPT structure, without using that TPT structure transfer function?
In otherwords, Which TPT structure are using that directly maps an ARBITRARY second order S-domain transfer function coefficients to the structure?
Or, I don't suppose you mean directly using those s-domain coefficients in the z^-1 structure, or something like direct forms? How could that ever work? Thats basically an s=z transform.
Or did you mean, build the analog structure from the S-domain transfer function. Thats possible, but then we'd have to express everything interms of 1/s integrator to be able to use the trapezoidal integrator when you digitize again. Not trivial.
I'm definitely missing your point.