(b) (c) Apply Laplace transform to find the transfer function H(s). y"(t) − y' (t) — 2y(t) = x'(t) − x(t) Evaluate various possible impulse responses h(t) from the transfer function in Q(b), considering the stability and causality of the system. Sketch the region of convergence for each possible impulse response outcome. sketch roc and give h(t) for 3 cases : right sided signal, left sided signal and two sided signal. To find h(t) use partial fraction and find inverse LT of the separated fraction. Determine stability and causality of each cases too.
(b) (c) Apply Laplace transform to find the transfer function H(s). y"(t) − y' (t) — 2y(t) = x'(t) − x(t) Evaluate various possible impulse responses h(t) from the transfer function in Q(b), considering the stability and causality of the system. Sketch the region of convergence for each possible impulse response outcome. sketch roc and give h(t) for 3 cases : right sided signal, left sided signal and two sided signal. To find h(t) use partial fraction and find inverse LT of the separated fraction. Determine stability and causality of each cases too.
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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Transcribed Image Text:(b)
(c)
Apply Laplace transform to find the transfer function H(s).
y"(t) − y' (t) — 2y(t) = x'(t) − x(t)
Evaluate various possible impulse responses h(t) from the transfer function in
Q(b), considering the stability and causality of the system. Sketch the region
of convergence for each possible impulse response outcome. sketch roc and
give h(t) for 3 cases : right sided signal, left sided signal and two sided signal.
To find h(t) use partial fraction and find inverse LT of the separated fraction.
Determine stability and causality of each cases too.
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