Saturday, February 4, 2017

Taking the inverse $mathcal Z$- transform with a summation in the denominator


I'm learning about z-transforms, and was going through some practice problems and I've been stuck on this one for a little bit. I'm trying to take the inverse z-transform of the following: $$\frac{1}{\sum_{k=0}^M c_kz^{-k}}$$


The only thing I can think of is that the denominator looks kind of like the definition of the z transform, but I don't think I'm going anywhere with that. Can anyone point me in the right direction?




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