Mapping of discrete functions in the z and s planes (example
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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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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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The transform from the s to the z plane using the transform
z = ...
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