A Gabor function is a sinusoidal carrier multiplied by a Gaussian envelope, commonly written 
.
Its translations and modulations generate Gabor systems used for localized time-frequency
analysis. The Fourier transform of a Gabor function
is another shifted Gaussian.
Gabor Function
See also
Fourier Transform, Gaussian Function, WaveletExplore with Wolfram|Alpha
References
Gröchenig, K. Foundations of Time-Frequency Analysis. Boston, MA: Birkhäuser, 2001.Cite this as:
Weisstein, Eric W. "Gabor Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GaborFunction.html