Question 4: This question relates to z-transform. a) A digital system is described by the following difference equation y[n]+2y[n− 1] + y[n − 2] = x[n − 1] - (i) Find the transfer function H(z). (ii) Determine the stability of the system. (iii) Determine the system output response y[n] for the input x[n] = u[n].

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Question 4: This question relates to z-transform.
a)
A digital system is described by the following difference equation
y[n]+2y[n− 1] + y[n − 2] = x[n − 1]
-
(i)
Find the transfer function H(z).
(ii) Determine the stability of the system.
(iii) Determine the system output response y[n] for the input x[n] = u[n].
Transcribed Image Text:Question 4: This question relates to z-transform. a) A digital system is described by the following difference equation y[n]+2y[n− 1] + y[n − 2] = x[n − 1] - (i) Find the transfer function H(z). (ii) Determine the stability of the system. (iii) Determine the system output response y[n] for the input x[n] = u[n].
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