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(a) What is the ROC of Y(z)? (b) Is y[n] left side, right side, or two sided? (c) What is the ROC of X(z)? (d) Is x[n] a causal sequence? (x[n]=0 for n<0) (e) What is x[0]? (f) Draw the pole-zero plot of H(z), and specify its ROC.

(a) What is the ROC of Y(z)? (b) Is y[n] left side, right side, or two sided? (c) What is the ROC of X(z)? (d) Is x[n] a causal sequence? (x[n]=0 for n<0) (e) What is x[0]? (f) Draw the pole-zero plot of H(z), and specify its ROC.

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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A, B , and C only

(a) What is the ROC of Y(z)? (b) Is y[n] left side, right side, or two sided? (c) What is the ROC of X(z)? (d) Is x[n] a causal sequence? (x[n]=0 for n<0) (e) What is x[0]? (f) Draw the pole-zero plot of H(z), and specify its ROC.
Transcribed Image Text:(a) What is the ROC of Y(z)? (b) Is y[n] left side, right side, or two sided? (c) What is the ROC of X(z)? (d) Is x[n] a causal sequence? (x[n]=0 for n<0) (e) What is x[0]? (f) Draw the pole-zero plot of H(z), and specify its ROC.
2. The signal y[n] is the output of an LTI system with impulse response h[n] for a given input x[n]. Throughout problem, assume that y[n] is sable and has a z- transform Y(z) with the pole-zero diagram shown in Figure-1, and the signal x[n] is stable and has the pole-zero diagram shown Figure-2. (2)urz Im(z) 1.5 1 0.5 0 -0.5 -1 -1.5 1 0.5 0 -0.5 -1 -1 -1 ديا أحد 3 0 6-17 *-12 1 1 1 Re(z) ↑ Figure-1 11 4 2 0 Re(z) ↑ Figure-2 2 2 z-plane z-plane
Transcribed Image Text:2. The signal y[n] is the output of an LTI system with impulse response h[n] for a given input x[n]. Throughout problem, assume that y[n] is sable and has a z- transform Y(z) with the pole-zero diagram shown in Figure-1, and the signal x[n] is stable and has the pole-zero diagram shown Figure-2. (2)urz Im(z) 1.5 1 0.5 0 -0.5 -1 -1.5 1 0.5 0 -0.5 -1 -1 -1 ديا أحد 3 0 6-17 *-12 1 1 1 Re(z) ↑ Figure-1 11 4 2 0 Re(z) ↑ Figure-2 2 2 z-plane z-plane
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