Dsp help - impulse response of system in z domain

  • #1

Homework Statement



I am given an LTI system where I need to obtain the impulse response and difference equation of H(z).

H(z) = (1-0.5z^-3) / [(1-0.5z^-1)(1-0.25z^-1)] and |z| > 0.5

Homework Equations





The Attempt at a Solution



I am pretty lost about what to do. I think I need to perform a z-transform but I am confused because of the orders of z in the numerator vs denominator.

Any push in the right direction would be greatly appreciated.
 

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