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Laplace Transform, transfer function

  1. Feb 15, 2012 #1
    1. The problem statement, all variables and given/known data
    Given transfer function [itex]H(s)=s^2+4[/itex] and input [itex]x(t)=sin(2t)[/itex], find the ouput y(t) in time domain, and show whether bounded or unbounded.

    Okay, so I know [itex]L^{-1}[sin(2t)]=2/(s^2+4)=2/[(s+j2)(s-j2)][/itex]

    and that [itex]Y(s)=H(s)X(s)=2[/itex]

    Therefore, [itex]y(t)=2\delta{(t)}[/itex]

    However, I am a little bit confused as to how I should show if it is bounded or unbounded.
     
  2. jcsd
  3. Feb 16, 2012 #2

    vela

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    Is the delta function bounded?
     
  4. Feb 16, 2012 #3
    I believe it is. However, this question seems rather simple considering the professor stated it was "tricky".
     
  5. Feb 16, 2012 #4

    vela

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    What's your definition of bounded?
     
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