Say I have a transfer function, for example:
$$H(z)=\frac{1}{1+0.1z^{-30}}$$
How can I compute the impulse response?
(This is just an example, the important thing is that it is in closed symbolic form!)
If I understand correctly, if I could just rewrite $H(z)$ as some polynomial in $z^-1$ (by using a Taylor expansion), I could just read off the coefficients.
But is there another way?
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