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Convolution of delta function

  1. Dec 9, 2008 #1
    Hi everyone, I need help finding the Fourier transform of Cos(10t)sin(t)

    i know that i need to find the transform of cos and sin and then convolve them, but i m not sure how to convolve delta function. I would really appreciate any helps.
  2. jcsd
  3. Dec 10, 2008 #2


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    Science Advisor

    No it's better to do it by simplifying the trig expression first using the "half sum difference" identities.

    That is, cos(10t)sin(t) = 1/2 ( sin(11t) - sin(9t) )
  4. Dec 10, 2008 #3
    thanks, the way you described made it alot easier. By using your method I realized that convolving delta functions is simply adding the frequency shifts.

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