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Consider the cascade of two LTI systems shown below, with input x(t) and output y(t). If the impulse response of each of these LTI systems is h(t) = rect(t), then what is the output y(t) when the input is ä(t) = 8(t) ? (a) (b) t+1 if -1 < t ≤0 1-t if 0

Consider the cascade of two LTI systems shown below, with input x(t) and output y(t). If the impulse response of each of these LTI systems is h(t) = rect(t), then what is the output y(t) when the input is ä(t) = 8(t) ? (a) (b) t+1 if -1 < t ≤0 1-t if 0

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Consider the cascade of two LTI systems shown below, with input x(t) and output y(t). If the impulse response of each of these LTI systems is h(t) = rect(t), then what is the output y(t) when the input is r(t) = 8(t)? (a) (b) t+1 if -1 < t ≤0 1-t if 0 < t <1 0 else t 2-t 0 if 0 < t < 1 if 1 < t < 2 else x(t) 2(t+1) (c) 2(1-t) 0 if −1<t≤0 if 0<t≤1 else LTI →h(t) LTI h(t) → y(t)
Transcribed Image Text:Consider the cascade of two LTI systems shown below, with input x(t) and output y(t). If the impulse response of each of these LTI systems is h(t) = rect(t), then what is the output y(t) when the input is r(t) = 8(t)? (a) (b) t+1 if -1 < t ≤0 1-t if 0 < t <1 0 else t 2-t 0 if 0 < t < 1 if 1 < t < 2 else x(t) 2(t+1) (c) 2(1-t) 0 if −1<t≤0 if 0<t≤1 else LTI →h(t) LTI h(t) → y(t)
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