Why can't this system be adequately represented using a z-domain transfer function?

1. What is Z domain transfer function?
2. How do you use Z-transform to transfer a function?
3. What is the time domain transfer function of the system?
4. What is the frequency of transfer function?

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 use Z-transform to transfer a function?

A LTI system is completely characterized by its impulse response h[n] or equivalently the Z-transform of the impulse response H(z) which is called the transfer function. Remember: x[n]∗h[n]Z⟶X(z)H(z).

What is the time domain transfer function of the system?

A transfer function defines the relationship between the input to a system and its output. It is typically written in the frequency domain (S-domain), rather than the time domain (t-domain). The Laplace transform is used to map the time domain representation to frequency domain representation.

What is the frequency of transfer function?

In fact the frequency response of a system is simply its transfer function as evaluated by substituting s = jω. The frequency response H(jω) is in general is complex, with real and imaginary parts. This is often more useful and intuitive when expressed in polar coordinate.