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Homework Help: 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).
     
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