5. A linear continuous-time system is observed to have the following input-output pairs. 1 f... 1 2 3 X₁(t) 1 X2(t) 1 2 3 t -1 X3 (t) 介 1 介 a. Could the system be time-invariant? b. Find the output signal if the input signal is x3 (t) shown below: y₁(t) 1 K 1 2 yz(t) L 1 2 t 2 1 3 3

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Please help me with these two problems. Thanks! 

5. A linear continuous-time system is observed to have the following input-output pairs.
X1(t)
Ë...
1
2
3
X2(t)
for
1
2
3
1
t
1
-1
t
X3 (t)
a. Could the system be time-invariant?
b. Find the output signal if the input signal is x3 (t) shown below:
介
1
y₁(t)
1
K
1
2
2
y₂(t)
1
t
1
2
3
3
t
Transcribed Image Text:5. A linear continuous-time system is observed to have the following input-output pairs. X1(t) Ë... 1 2 3 X2(t) for 1 2 3 1 t 1 -1 t X3 (t) a. Could the system be time-invariant? b. Find the output signal if the input signal is x3 (t) shown below: 介 1 y₁(t) 1 K 1 2 2 y₂(t) 1 t 1 2 3 3 t
2. Consider the continuous-time signal x(t) plotted below. Sketch y(t) = 0.5 x(−2t + 4).
x(t)
-6
-4
-2
2
0
2
t
Transcribed Image Text:2. Consider the continuous-time signal x(t) plotted below. Sketch y(t) = 0.5 x(−2t + 4). x(t) -6 -4 -2 2 0 2 t
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