1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Fourier transform of function times periodic function

  1. May 13, 2014 #1
    Suppose I have a function of the type:

    h(t) = g(t)f(t)

    where g(t) is a periodic function. Are there any nice properties relating to the fourier transform of such a product?

    Edit: If not then what about if g(t) is taken as the complex exponential?
     
  2. jcsd
  3. May 13, 2014 #2

    DrClaude

    User Avatar

    Staff: Mentor

    Not sure about your first question, but if
    $$
    h(t) \Leftrightarrow H(f)
    $$
    is a transform pair, then
    $$
    h(t) e^{-2 \pi i f_0 t} \Leftrightarrow H(f - f_0)
    $$
    and its called frequency shifting (taken from Numerical Recipes in C).
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Fourier transform of function times periodic function
Loading...