engineering recuitment GATE IN Test Series 2023-24 Mock Test Signals and Systems Z Transform Region of Convergence of a Causal System
Given system response \(X\left( z \right) = \frac{{2 - \frac{3}{4}{z^{ - 1}}}}{{\left( {1 - \frac{3}{4}{z^{ - 1}} + \frac{1}{8}{z^{ - 2}}} \right)}}\) the condition for the above system to be only causal but not stable is ____.
1
|z| > ½
2
|z| < ¼
3
¼ < |z| < ½
4
Such condition does not exist.