Explore BrainMass
Share

Explore BrainMass

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

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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 ad1c9bdddf
    https://brainmass.com/engineering/electrical-engineering/mapping-discrete-functions-planes-431482

    Attachments

    Solution Preview

    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

    $2.19