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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

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

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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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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