Bilinear transformation

The bilinear transformation is a mathematical method used in digital signal processing to convert continuous-time filters (designed in the analog domain) into digital filters (usable in computers or digital systems). It works by mapping the frequency response of an analog filter onto the digital domain in a way that preserves its essential characteristics. This transformation ensures that the digital filter behaves similarly to the original analog filter across the entire frequency spectrum, while avoiding distortions like aliasing. Overall, it enables engineers to implement practical digital filters that closely mimic their analog counterparts.