Z domain Transfer function to magnitude

1. How do you find the magnitude of Z-transform?
2. What is z domain transfer function?
3. How do you plot the magnitude and phase of a transfer function?

How do you find the magnitude of Z-transform?

The z-transform can be evaluated at any point on the complex plane that is also in the ROC of the z-transform. To find the magnitude of H(z), you can find the magnitude of numerator and denumerator separately, and then divide the results. |H(z)| is a function of z and hence, a function of r and ϕ.

What is z domain transfer function?

The z-domain transfer function, G(z), between the input to the DAC, u(n), and the output of the ADC, e(n), is the plant response 'seen' by the digital controller, which is also called the pulse transfer function (Kuo, 1980). From: Signal Processing for Active Control, 2001.

How do you plot the magnitude and phase of a transfer function?

To find the magnitude of the output, simply multiply the magnitude of the input (A) by the magnitude of the transfer function (M). The phase of the output is sum of the input phase (φ) and the phase of the transfer function (θ).