Key Concepts
Bilinear Transform
s = (2/T)·(z−1)/(z+1). Maps entire jω axis to unit circle, no
aliasing.
Stability Preserved
Left-half s-plane maps inside the unit circle — stability is
preserved.
Frequency Warping
Bilinear introduces frequency warping; pre-warp critical frequencies using Ω
= (2/T)·tan(ωT/2).