Wednesday, February 20, 2019

How to compute the impulse response from a transfer function


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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