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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

Integrating h(t)=delta(t)-delta(t-3) gives step response s(t)=u(t)-u(t-3). At t=2, u(2)=1 and u(-1)=0, so s(2)=1. The stored 0 is wrong; the value is 1.

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