Howtosignalprocessing
- What is meant by bilinear transformation?
- Why is it called bilinear transformation?
- Who first studied bilinear transformation?
What is meant by bilinear transformation?
The bilinear transformation is a mathematical mapping of variables. In digital filtering, it is a standard method of mapping the s or analog plane into the z or digital plane. It transforms analog filters, designed using classical filter design techniques, into their discrete equivalents.
Why is it called bilinear transformation?
First of all, it is called bilinear because the numerator and the denominator are linear in z. Second of all, the bilinear transform maps the left half-plane of the s-plane into the interior of of the unit circle in the z-plane.
Who first studied bilinear transformation?
The bilinear tranform was introduced in 1947 for discrete-time filter analysis (a year after the first general-purpose computer--the ENIAC--was announced) by Arnold Tustin,I.2 so it is also called ``Tustin's Method.
