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How to prove this convolution problem?

  1. Sep 10, 2013 #1

    clw

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    1. The problem statement, all variables and given/known data
    How do I prove that sinc(t) * sinc(t) = sinc(t)?


    2. Relevant equations



    3. The attempt at a solution
    I converted it to frequency domain and got that rect(f) rect (f) = rect (f) which then converts back to sinc (t). But I'm just curious as how would I go about doing this if I don't convert to frequency domain? I get

    [itex]\int ^{\infty} _{-\infty} sinc(\tau) sinc( t- \tau) dt [/itex]

    I get stuck at this integral. Any help would be very much appreciated!
     
  2. jcsd
  3. Sep 11, 2013 #2

    rude man

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    Homework Helper
    Gold Member

    Tall order, I think.
     
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