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Questions from the topic - 2. Z-transform [4 hours] - Digital Signal Analysis and Processing
1. Define Region of Convergence. Find inverse Z-transform of $X(z) = z/{\left\{(z-1)(z-2)^{2}\right\}}, \space ROC:|Z|<1$. - 2070 Ashad
2. Given H(z) for a system with the following difference equation:
y(n) = x(n) + x(n-2)
Plot its poles and zeros in Z plane. Determine its magnitude response. Also, determine whether system is causal or stable. - 2070 Ashad
3. State the properties of region of convergence (ROC)? Derive the time shifting property of Z-transform. - 2069 Chaitra
4. Given a system with complex conjugate zeros at $0.3 \pm j0.6$ and complex conjugate poles at $0.8 \pm j0.7$ and $0.3 \pm j0.8$. Draw the diagram in z-plane and magnitude response of the system. - 2065 Baisakh-Old