The block diagram of an LTI system is given below: x[n] y[n] a) Determine a difference equation relating the input x[n] and the output y[n]. b) Assuming that the system is causal: (i) Specify the ROC. (ii) Is this system stable? (iii) Determine the impulse response of the system. c) Repeat b), assuming that the system is non-causal. d) Assuming that the system is causal and an input x[n] = 12(})"ul-n-1] +38[n] is applied: (i) Specify the ROC for Y (z). (ii) Determine the output y[n]. - IN

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Answer D only. 

The block diagram of an LTI system is given below:
x[n]
y[n]
z-1
a) Determine a difference equation relating the input x[n] and the output y[n].
b) Assuming that the system is causal:
(i) Specify the ROC.
(ii) Is this system stable?
(iii) Determine the impulse response of the system.
c) Repeat b), assuming that the system is non-causal.
d) Assuming that the system is causal and an input x[n] = 12()"u[-n-1] +38[n] is applied:
(i) Specify the ROC for Y (z).
(ii) Determine the output y[n].
1IN
Transcribed Image Text:The block diagram of an LTI system is given below: x[n] y[n] z-1 a) Determine a difference equation relating the input x[n] and the output y[n]. b) Assuming that the system is causal: (i) Specify the ROC. (ii) Is this system stable? (iii) Determine the impulse response of the system. c) Repeat b), assuming that the system is non-causal. d) Assuming that the system is causal and an input x[n] = 12()"u[-n-1] +38[n] is applied: (i) Specify the ROC for Y (z). (ii) Determine the output y[n]. 1IN
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