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Question

The impulse response of a continuous time system is given by h(t) = δ (t – 1) + δ (t – 3) . The value of the step response at t = 2 is

The correct answer is

1

The unit-step response is u(t−1)+u(t−3). At t=2, these terms are 1 and 0, so the response is 1.

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Important Questions from Standard Signals

  1. The properties of Dirac Delta are

    A. δ (t - to)=∞ if t = to 

    B. δ (t - to)=0 if t = to

    C. δ (t - to)=0 if t ≠ to

    D. δ (t - to)=∞ if t ≠  to

    E. δ (t - to)=1 for all t = to

    Choose the correct answer from the options given below:

  2. The correct expression of the following triangular wave is :

  3. The average value of a periodic trapezoidal waveform is given by :

  4. Consider a continuous-time signal
    $x(t) = – t^2 \{u(t + 4) – u(t – 4)\}$
    where $u(t)$ is the continuous-time unit step function. Let $\delta(t)$ be the continuous-time unit impulse function. The value of
    $\int_{-\infty}^{\infty} x(t) \delta(t + 3)dt$ is

  5. Which of the following is NOT one of the sampling techniques?

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