# Mapping of discrete functions in the z and s planes (example

The transform from the s to the z plane using the transform

z = e^sT(s) is used to obtain an inverse transform in terms of s , namely

s = Ln(z)/T(s)

This is then used to find the s plane mapping of z = e^jw

The s palne plot is then made for -pi <= w <= pi and the poles and zeros plotted

© BrainMass Inc. brainmass.com October 10, 2019, 3:42 am ad1c9bdddfhttps://brainmass.com/engineering/electrical-engineering/mapping-discrete-functions-planes-431482

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The transform from the s to the z plane using the transform

z = ...

#### Solution Summary

The transform from the s to the z plane using the transform

z = e^sT(s) is used to obtain an inverse transform in terms of s , namely

s = Ln(z)/T(s)

This is then used to find the s plane mapping of z = e^jw

The s palne plot is then made for -pi <= w <= pi and the poles and zeros plotted

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