inverse z-transform of $frac{1}{(1-z^{-1})^{2}}$
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how to find inverse-z-transform of: $$ x[n] = Z-Transformleft{ frac{1}{(1-z^{-1})^{2}} right} $$ I could convert it to convolution... but then i'm stuck with solving convolution...which i'm not really sure how to perform either. A few z-transform table definitions I'm looking at to solve the problem: $$ begin{aligned} X(z) &= sum_{n=-infty}^{infty} x[n] z^{-n} \ \ alpha^{n} u[n] &<=> frac{1}{1-alpha z^{-1}} \ \ x[n]*y[n] &<=> X(z) Y(z) \ \ x[n-k] &<=> z^{-k}X(z) end{aligned} $$
z-transform
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asked Jan 5 at 1:56
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