What Is The Mapping Procedure Between S-plane & Z-plane In The Method

1.	What Is The Mapping Procedure Between S-plane & Z-plane In The Method Of Mapping Differentials? What Are Its Characteristics?
Answer» The mapping PROCEDURE between S-plane & Z-plane in the method of mapping of differentials is given by H(Z) =H(S)\|S=(1-Z-1)/T The above mapping has the following characteristics: The LEFT half of S-plane maps inside a circle of radius ½ centered at Z= ½ in the Z-plane. The RIGHT half of S-plane maps into the region outside the circle of radius ½ in the Z-plane. The J Ω-axis maps onto the perimeter of the circle of radius ½ in the Z-plane. The mapping procedure between S-plane & Z-plane in the method of mapping of differentials is given by H(Z) =H(S)\|S=(1-Z-1)/T The above mapping has the following characteristics:

What Is The Mapping Procedure Between S-plane & Z-plane In The Method Of Mapping Differentials? What Are Its Characteristics?

Answer»

The mapping PROCEDURE between S-plane & Z-plane in the method of mapping of differentials is given by

H(Z) =H(S)|S=(1-Z-1)/T

The above mapping has the following characteristics:

The LEFT half of S-plane maps inside a circle of radius ½ centered at Z= ½ in the Z-plane.
The RIGHT half of S-plane maps into the region outside the circle of radius ½ in the Z-plane.
The J Ω-axis maps onto the perimeter of the circle of radius ½ in the Z-plane.

The mapping procedure between S-plane & Z-plane in the method of mapping of differentials is given by

H(Z) =H(S)|S=(1-Z-1)/T

The above mapping has the following characteristics: