1. The problem statement, all variables and given/known data 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 2. Relevant equations 3. 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.