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Convolution with sign function

  1. Mar 27, 2013 #1
    Hello all,

    I am having some trouble calculating a convolution. For the question, and my attempt at a solution, please take a look at the pic. Can someone please point me in the right direction?
     

    Attached Files:

  2. jcsd
  3. Mar 27, 2013 #2

    vela

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    I didn't check your work closely. If it's correct, you probably want to now look at two cases separately: t<0 and t>0.

    The other suggestion I'd have is to try using ##\tau-t## as the argument of sgn instead of the exponential. It might make the integral easier to analyze.
     
  4. Mar 27, 2013 #3
    Ok, I will try it and see what i get
     
  5. Mar 30, 2013 #4

    rude man

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    Tried it that way, got 2exp(-t) -1 :rolleyes:
     
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