The Bilinear Transform is a nonlinear
Bilinear transform:
Note:
The magnitude response doesn't change in the
mapping from

A bilinear transform maps an analog filter
If only we could somehow map these optimal analog filter designs to the digital world while preserving the magnitude response characteristics, we could make use of the alreadyexisting body of knowledge concerning optimal analog filter design.
The Bilinear Transform is a nonlinear
Bilinear transform:
The magnitude response doesn't change in the
mapping from

Given specifications on the frequency response of an IIR filter to be designed, map these to specifications in the analog frequency domain which are equivalent. Then a satisfactory analog prototype can be designed which, when transformed to discretetime using the bilinear transformation, will meet the specifications.
The goal is to design a
highpass filter,
