Z domain transfer function including time delay to difference equation

1. How do you find the difference equation from Z-transform?
2. What is Z domain transfer function?
3. Why is Z 1 delay?

How do you find the difference equation from Z-transform?

In order to solve the difference equation, first it is converted into the algebraic equation by taking its Z-transform. Then, the solution of the equation is calculated in z-domain and finally, the time-domain solution of the equation is obtained by taking its inverse Z-transform.

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.

Why is Z 1 delay?

polynomial by z-1 simply subtracts one from each exponent in the polynomial, thereby creating a delay of one.