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Consider the Z-transform H(z) = 1 (2z−¹ − 1) (½⁄z−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].

Consider the Z-transform H(z) = 1 (2z−¹ − 1) (½⁄z−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].

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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Please help with part d and e.

Consider the Z-transform H(z) = 1 (2z−¹ − 1) (½⁄z−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) = 1 (2z−¹ − 1) (½⁄z−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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