Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    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.

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Convolution of delta function