Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question

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].
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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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Step 1: Summarize the data.
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Step 2: d. Determine the stability of the system for each ROC.
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Step 3: e. Determine the partial fractions of H(z).
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Step 4: Determine the impulse response for each ROC.
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