- Problem 4 (3 pts each). Suppose the impulse response function of a CT-LTI system is given by h(t) = (102t)[u(t − 2) – u(t - 4)], and the input signal is given by x(t) = [u(t) = u(t − 3)]. Use direct integration to calculate the system output using y(t) = x(t) * h(t). Determine the value of y(t) at the following time points: (a) t=1 (Q39), (b) t=3 (Q40), (c) t=4.5 (Q41); (d) t=5.5, (Q42), (e) t=6.5 (Q43), and (f) t=7.5 (Q44).

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Problem 4 (3 pts each). Suppose the impulse response function of a CT-LTI system is given by
h(t) = (102t)[u(t − 2) – u(t - 4)], and the input signal is given by x(t) = [u(t) = u(t − 3)].
Use direct integration to calculate the system output using y(t) = x(t) * h(t). Determine the value
of y(t) at the following time points: (a) t=1 (Q39), (b) t=3 (Q40), (c) t=4.5 (Q41); (d) t=5.5, (Q42),
(e) t=6.5 (Q43), and (f) t=7.5 (Q44).
Transcribed Image Text:- Problem 4 (3 pts each). Suppose the impulse response function of a CT-LTI system is given by h(t) = (102t)[u(t − 2) – u(t - 4)], and the input signal is given by x(t) = [u(t) = u(t − 3)]. Use direct integration to calculate the system output using y(t) = x(t) * h(t). Determine the value of y(t) at the following time points: (a) t=1 (Q39), (b) t=3 (Q40), (c) t=4.5 (Q41); (d) t=5.5, (Q42), (e) t=6.5 (Q43), and (f) t=7.5 (Q44).
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