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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