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(Solved):   4. Compute the inverse z-transform of \[ X(z)=\frac{1}{\left(1-0.9 z^{-1}\right)^{2}\left( ...



4. Compute the inverse z-transform of
\[
X(z)=\frac{1}{\left(1-0.9 z^{-1}\right)^{2}\left(1+0.9 z^{-1}\right)}, \quad|z|>0.9

 

4. Compute the inverse z-transform of \[ X(z)=\frac{1}{\left(1-0.9 z^{-1}\right)^{2}\left(1+0.9 z^{-1}\right)}, \quad|z|>0.9 \] You will evaluate the denominator polynomial as well as the residues using the MATLAB script.Then you will use the Appendix Table.


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a) To compute the inverse z-transform of a function X(z), you can use the inverse z-transform formula: x[n] = 1/2? ? X(z) z^(-n-1) dz where x[n] is th
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