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Signal and systems miscellaneous

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  1. Figure-I and figure-II show respectively the input x(t) to a linear time-invariant system and the impulse response h(t) of the system.

    The output of the system is zero every where except for the time interval—
    1. 0 < t < 4
    2. 0 < t < 5
    3. 1 < t < 5
    4. 1 < t < 6
Correct Option: C

Given x(t) and h(t) y(t) = x(t) * h(t)

y(t) = x(τ) h(t – τ)dτ
– ∞


Thus, we conclude that the output of the system is zero everywhere except for the time interval.
1 < t < 5



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