S-plane to z-plane matlab

1. How do you map's plane to z-plane?
2. What is relation between S and z-plane?
3. What is z-plane in Matlab?
4. How s-plane is mapping to z-plane using the impulse invariant method?

How do you map's plane to z-plane?

The points in the s-plane are mapped into the z-plane in accordance with the definition of z=exp(sT). Note that certain points in the s-plane have been mapped inside the unit circle. These are from the left-half of the s-plane, since the magnitude of the exponential function with a negative exponent is less than 1.

What is relation between S and z-plane?

s-plane with positive imaginary axis is mapped to the region inside the unit circle in z plane. s-plane with positive real axis is mapped to the region inside the unit circle in z plan.

What is z-plane in Matlab?

zplane( z , p ) plots the zeros specified in column vector z and the poles specified in column vector p in the current figure window. The symbol 'o' represents a zero and the symbol 'x' represents a pole. The plot includes the unit circle for reference.

How s-plane is mapping to z-plane using the impulse invariant method?

In Impulse Invariance Transformation, the mapping of points from the s-plane to the z-plane is given by the relation z=epiT=esT, where pi are poles of analog filter and T is sampling frequency.