engineering recuitment GATE IN Test Series 2023-24 Mock Test Signals and Systems Z Transform Inverse Z Transform
The inverse Z-transform of \(X\left( Z \right) = \frac{Z}{{{{\left( {Z - 2} \right)}^6}}}\) is _____.
1
\( \frac{2^n}{6} \mathop \prod \nolimits_{K = 0}^4 (n - K) \)
2
\( \frac{2^n}{3840} \mathop \prod \nolimits_{K = 0}^4 (n - K)\)
3
\(\mathop \prod \nolimits_{K = 0}^4 \frac{{\left( {n - k} \right)}}{{120}}{2^{n - 6}}\)
4
\(\mathop \prod \nolimits_{K = 0}^4 \frac{{\left( {n - k} \right)}}{{720}}{2^{n - 1}}\)