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].

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.16P
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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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