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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

https://brainmass.com/engineering/electrical-engineering/mapping-poles-zeros-planes-discrete-time-sigma-431481

#### Solution Preview

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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