The important property of Fourier transforms that ](/images/equations/ModulationTheorem/Inline1.svg)
can be expressed in terms of ![F[f(x)]=F(k)](/images/equations/ModulationTheorem/Inline2.svg)
as follows,
=1/2[F(k-k_0)+F(k+k_0)].](/images/equations/ModulationTheorem/NumberedEquation1.svg) |
Modulation Theorem
See also
Fourier TransformExplore with Wolfram|Alpha
References
Bracewell, R. "Modulation Theorem." The Fourier Transform and Its Applications, 3rd ed. New York: McGraw-Hill, p. 108, 1999.Referenced on Wolfram|Alpha
Modulation TheoremCite this as:
Weisstein, Eric W. "Modulation Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ModulationTheorem.html