7.a. Draw pole zero diagram of following z domain signal: $X(z) = \fr…

Previous year question for Signals and Systems.

Question

7.a. Draw pole zero diagram of following z domain signal:

$X(z) = \frac{1.25 - 1.25 z^{-1} + 0.2 z^{-2}}{2 + 2z^{-1} + z^{-2}}$

b. Find the one sided z transform of discrete time signals generated by mathematically sampling the following continuous time signal.

$X(t) = \sin \Omega_0 t$

c. Determine z transform and ROC of

$x(n) = 0.2^n u(-n-1)$

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