What Are The Properties Of Bilinear Transformation?

1.	What Are The Properties Of Bilinear Transformation?
Answer» The MAPPING for the BILINEAR transformation is a one-to-one mapping that is for EVERY point Z, there is exactly one corresponding point S, and vice-versa. The j Ω-axis MAPS on to the unit circle \|z\|=1,the left half of the s-plane maps to the INTERIOR of the unit circle \|z\|=1 and the half of the s-plane maps on to the exterior of the unit circle \|z\|=1.

Answer»

The MAPPING for the BILINEAR transformation is a one-to-one mapping that is for EVERY point Z, there is exactly one corresponding point S, and vice-versa.
The j Ω-axis MAPS on to the unit circle |z|=1,the left half of the s-plane maps to the INTERIOR of the unit circle |z|=1 and the half of the s-plane maps on to the exterior of the unit circle |z|=1.

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