Consider an LTI system whose response to the input x(t) = [e-t + e-3t] u(t) is y(t) = [2e-t – 2e-4t]. The system’s impulse response will be

Question

TuteeHUB · Accepted Answer

$\frac{3}{2}\left[ {{e^{ - 2t}} - {e^{ - 4t}}} \right]u\left( t \right)$

TuteeHUB · Answer

$\frac{3}{2}\left[ {{e^{ - 2t}} + {e^{ - 4t}}} \right]u\left( t \right)$

TuteeHUB · Answer

$\frac{1}{2}\left[ {{e^{ - 2t}} + {e^{ - 4t}}} \right]u\left( t \right)$

TuteeHUB · Answer

$\frac{1}{2}\left[ {{e^{ - 2t}} - {e^{ - 4t}}} \right]u\left( t \right)$

1.	Consider an LTI system whose response to the input x(t) = [e-t + e-3t] u(t) is y(t) = [2e-t – 2e-4t]. The system’s impulse response will be
A.	\(\frac{3}{2}\left[ {{e^{ - 2t}} + {e^{ - 4t}}} \right]u\left( t \right)\)
B.	\(\frac{3}{2}\left[ {{e^{ - 2t}} - {e^{ - 4t}}} \right]u\left( t \right)\)
C.	\(\frac{1}{2}\left[ {{e^{ - 2t}} + {e^{ - 4t}}} \right]u\left( t \right)\)
D.	\(\frac{1}{2}\left[ {{e^{ - 2t}} - {e^{ - 4t}}} \right]u\left( t \right)\)
Answer» B. \(\frac{3}{2}\left[ {{e^{ - 2t}} - {e^{ - 4t}}} \right]u\left( t \right)\)

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