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    Mapping of poles/zeros in s and z planes, discrete time sig

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    Mapping of poles/zeros in s and z planes for given discrete time signals

    © BrainMass Inc. brainmass.com October 10, 2019, 3:42 am ad1c9bdddf
    https://brainmass.com/engineering/electrical-engineering/mapping-poles-zeros-planes-discrete-time-sigma-431481

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    Mapping of poles/zeros in s and z planes for given discrete time signals

    9.1
    (a)

    Representative mapping in the z plane is derived from the s plane
    using (1) and (2) for magnitude and phase respectively

    (1) Magnitude in z plane from s plane (real part )

    (2) Phase in z plane from s plane (imaginary part )

    Where is the sampling period

    So we have

    In the s plane two poles

    Writing these poles independently we have

    Which has a real part in the s plane and an imaginary part in
    the s plane

    Which maps to magnitude ...

    Solution Summary

    Mapping of poles/zeros in s and z planes for given discrete time signals

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