Biomedical Engineering > GATE 2022 > Impulse Response
The block diagrams of an ideal system and a real system with their impulse responses are shown below. An auxiliary path is added to the delayed impulse response in the real system.
For a unit impulse input (x(t) = δ(t)) to both systems, gain β is chosen such that y(4T) is same for both systems. The value of β is _______.
A
e⁻³αT(1-e⁻²αT)
B
-e⁻αT(1-e⁻³αT)
C
-e⁻³αT(1-e⁻αT)
D
e⁻²αT(1-e⁻²αT)

Correct : c

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