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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Related Topics

block diagram reduction impulse response system GATE Biomedical Engineering 2022 biomedical engineering gate system response auxiliary path added delayed impulse response unit impulse input gain beta system gain system response time GATE 2022 Biomedical Engineering

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