(a) Evaluate the z-transform and Region of Convergence (ROC) for the following signal. Sketch the ROC, poles and zeros in the z-plane. п n x[n] = G) u[n] + (-) u[-n – 1] (b) Derive the system transfer function and determine the impulse response using partial fractions method for a causal discrete-time LTI system where x[n] and y[n] are the input and output of the system, respectively. 6 y[n] – 5 y[n – 1] + y[n – 2] = x[n] + 2 x[n – 1]

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Question 3
(a)
Evaluate the z-transform and Region of Convergence (ROC) for the following signal.
Sketch the ROC, poles and zeros in the z-plane.
-G) u[n] + (-) ul-n - 1]
п
x[n] = 5)
u[-n – 1]
Derive the system transfer function and determine the impulse response using partial
fractions method for a causal discrete-time LTI system where x[n] and y[n] are the
input and output of the system, respectively.
(b)
6 y[n] – 5 y[n – 1] + y[n – 2] = x[n] + 2 x[n – 1]
Transcribed Image Text:Question 3 (a) Evaluate the z-transform and Region of Convergence (ROC) for the following signal. Sketch the ROC, poles and zeros in the z-plane. -G) u[n] + (-) ul-n - 1] п x[n] = 5) u[-n – 1] Derive the system transfer function and determine the impulse response using partial fractions method for a causal discrete-time LTI system where x[n] and y[n] are the input and output of the system, respectively. (b) 6 y[n] – 5 y[n – 1] + y[n – 2] = x[n] + 2 x[n – 1]
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