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z +1 H(z) a) If we assume that this is a causal system, what is the region-of-convergence (ROC) that corresponds to the system function? b) If this is a causal system, is the system stable (justify)? c) Derive the time-domain impulse response of the filter for the causal ROC (use method of residues!!!)

z +1 H(z) a) If we assume that this is a causal system, what is the region-of-convergence (ROC) that corresponds to the system function? b) If this is a causal system, is the system stable (justify)? c) Derive the time-domain impulse response of the filter for the causal ROC (use method of residues!!!)

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
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It is known that a causal LTI system has the following system function: z +1 7 10. H(z) 4 Z - a) If we assume that this is a causal system, what is the region-of-convergence (ROC) that corresponds to the system function? b) If this is a causal system, is the system stable (justify)? c) Derive the time-domain impulse response of the filter for the causal ROC (use method of residues!!!)
Transcribed Image Text:It is known that a causal LTI system has the following system function: z +1 7 10. H(z) 4 Z - a) If we assume that this is a causal system, what is the region-of-convergence (ROC) that corresponds to the system function? b) If this is a causal system, is the system stable (justify)? c) Derive the time-domain impulse response of the filter for the causal ROC (use method of residues!!!)
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