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Fourier transform of function times periodic function

  • Thread starter aaaa202
  • Start date
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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?
 

DrClaude

Mentor
6,858
2,987
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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