The input to a linear and time-invariant system is given by a(t) = 8(t – 0. 5) – 8(t – 1.5) If the impulse response of the system is given by h(t) = II(t) where II(t) is the unit pulse function, which of the following graphs best represents the output of the system y(t)? 1.5 1.5 0.5 0.5 -0.5 0.5 -1 -1 -1.5 -1.5 -2 0. 1. -2 -1 1. 2 t 1.5 1.5 0.5 0.5 -0.5 -0.5 -1 -1

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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The input to a linear and time-invariant system is given by
x(t) = 6(t – 0. 5) - 8(t – 1.5)
If the impulse response of the system is given by
h(t) = II(t)
where II(t) is the unit pulse function, which of the following graphs best represents
the output of the system y(t)?
1.5
1.5
0.5
0.5
-0.5
0.5
-1
-1.5
-2
-1.5
-1
21
-2
1.5
1.5
C.
D.
0.5
0.5
-0.5
-0.5
-1
-1.5
-1.5
2.
Transcribed Image Text:The input to a linear and time-invariant system is given by x(t) = 6(t – 0. 5) - 8(t – 1.5) If the impulse response of the system is given by h(t) = II(t) where II(t) is the unit pulse function, which of the following graphs best represents the output of the system y(t)? 1.5 1.5 0.5 0.5 -0.5 0.5 -1 -1.5 -2 -1.5 -1 21 -2 1.5 1.5 C. D. 0.5 0.5 -0.5 -0.5 -1 -1.5 -1.5 2.
1.5
1.5
1
1
05
0.5
-0.5
0.5
-1
-1
-1.5
-2
-1
-1.5
2.
-2
1.5
1.5
D
0.5
0.5
-0.5
-0.5
-1.5
-2
2
1.5
1.5
E
F
0.5
0.5
0.
-0.5
-0.5
-1
-1.5
-1.5
-2
-2
2.
(A)
-2°C Partly sunny
9 ) ENG
y(9
Transcribed Image Text:1.5 1.5 1 1 05 0.5 -0.5 0.5 -1 -1 -1.5 -2 -1 -1.5 2. -2 1.5 1.5 D 0.5 0.5 -0.5 -0.5 -1.5 -2 2 1.5 1.5 E F 0.5 0.5 0. -0.5 -0.5 -1 -1.5 -1.5 -2 -2 2. (A) -2°C Partly sunny 9 ) ENG y(9
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