The bilinear transformation \(\omega = \frac{{z - 1}}{{z + 1}}\)
1
maps the inside of the unit circle in the z-plane to left half of the ω-plane
2
maps the outside of the unit circle in the z-plane to left half of the ω-plane
3
maps the inside of the unit circle in the z-plane to right half of the ω-plane
4
maps the outside of the unit circle in the z-plane to right half of the ω-plane