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Signals and Systems by Smarajit Ghosh

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EXERCISES
  1. A system has impulse response h(t) = e−2tu(t). Find its system function and the output if the input to the system is x(t) = etu(t).

    [Ans. System transfer function = image and y(t) = etu(t) − e−2tu(t)]

  2. For a system having image determine the following:
    1. its impulse response,
    2. its response to the input etu(t).

    image

     

  3. Find the steady state response of a system having differential equation

     

     

    [Ans. y(t) = 0.364 cos (3t + 266˚)]

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