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Consider the Z-transform 1 H(z) = (a) Find the poles and zeros of the Z-transform. (b) Sketch the poles, zeros and the possible ROCS (c) For each ROC, determine if the impulse response is causal, right sided, or left sided. (22-¹-1) (-2-¹-1)

Consider the Z-transform 1 H(z) = (a) Find the poles and zeros of the Z-transform. (b) Sketch the poles, zeros and the possible ROCS (c) For each ROC, determine if the impulse response is causal, right sided, or left sided. (22-¹-1) (-2-¹-1)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Consider the Z-transform H(z) = (2z-¹ -1) (-2-¹-1) (a) Find the poles and zeros of the Z-transform. (b) Sketch the poles, zeros and the possible ROCS (c) For each ROC, determine if the impulse response is causal, right sided, or left sided. (d) For each ROC, determine if the impulse response is stable or unstable. (e) For each ROC, compute the corresponding signal h[n].
Transcribed Image Text:Consider the Z-transform H(z) = (2z-¹ -1) (-2-¹-1) (a) Find the poles and zeros of the Z-transform. (b) Sketch the poles, zeros and the possible ROCS (c) For each ROC, determine if the impulse response is causal, right sided, or left sided. (d) For each ROC, determine if the impulse response is stable or unstable. (e) For each ROC, compute the corresponding signal h[n].
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