Question

Relation between analog and digital frequency in bilinear transformation

Answer 1

Analog frequencies are transformed using laplace transformation, while digital frequencies are transformed using z-transformation.

The Bilinear transform is a mathematical relationship which can be used to convert the transfer function of a particular filter from Laplace domain into the z-domain, and vice-versa.

The relationship can be given by,

s = $\frac{2(1-z^-1)}{T(1+z^-1)}$