Z Transform 2P/2Z Magnitude, Phase, Real and Imaginary Surface.

Cuthbert Nyack

The transfer function of a system with 2 poles and 2 zeros is shown below:-

At any point (zr, zi) in the Z plane, the magnitude of G(z) can be obtained by setting z = zr + j zi and finding the modulus of G(z).

Applet below shows magnitude(Fn = 0), phase(Fn = 1), real(Fn = 2) and imaginary(Fn = 3) parts of the transfer function of a system with 2 poles and 2 zeros.

Parameters (0.8, 25, 0.4, 103, 16.0, 1.6, 0, 122, 30, 1.0) show the magnitude.
Parameters (0.8, 25, 0.4, 103, 16.0, 1.6, 1, 35.0, 60.0, 1.0) show the phase.
Parameters (0.8, 25, 0.4, 103, 14.0, 1.6, 2, 150, 40, 1.0) show the real part.
Parameters (0.8, 25, 0.4, 103, 14.0, 1.6, 3, 130, 70, 1.0) show the imaginary part.

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