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How to prove this convolution problem?

  • Thread starter clw
  • Start date
  • #1
clw
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Homework Statement


How do I prove that sinc(t) * sinc(t) = sinc(t)?


Homework Equations





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!
 

Answers and Replies

  • #2
rude man
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Tall order, I think.
 

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