Finding the Difference Equation from the System Transfer Function

In the previous video we started with a system difference equation, and then solved for the system transfer function. The example presented here goes the other direction. We start with the transfer function H(z) of a discrete-time LTI system, and then we find the corresponding difference equation of the system.

The previous video in this playlist is:

Course website:

[brunonascimento]

You explained in 3 min what my professor couldn't do in 3h. Thank you! God bless you.

[morezco]

Dude thank you, I feel so stupid. Missed one single step you did there.

[aidanmacdougall]

for a simple tf id have to convert my s domain over to z before applying this though right?