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The impulse response of a continuous time system is given by h(t) = δ(t) − δ(t−3). The value of the step response at t = 2 is

1. 0
2. 1
3. 2
4. 3

Correct answer: 1

Solution

The step response is the integral of the impulse response. For h(t) = δ(t) - δ(t-3), the step response at t = 2 is the integral from 0 to 2, which gives a value of 1 due to the contribution from δ(t).

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