I'm kind of confused on how to get the inverse Z-transform of basic things. We were told to basically break down the function into smaller parts that we know the z-transform of but I can't find a list of this or any info on this. The problem is
Find the inverse z-transform of H(z) = 1 + z^-1 The answer is h_n = {1, 1} I have no idea how that answer was gotten. Any ideas?
(This is for a FIR filter btw)
I dont get your confusion. If you know $h(n)=\delta_0(n)$ and $H(z)=1$ then you should be able to work in both directions.
Recall that $H(z) = G(z)/z$ implies $h(n)=g(n-1)$