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Amplitude and Phase in 2D Fourier Transforms

x
0
y
0
σ
0.25
In this Demonstration, we take the 2D Fourier transform of a 2D Gaussian,
T(x,y)
, with standard deviation
σ
:
[T(x,y)]=V(u,v)
.
The middle and right panels plot the amplitude and phase of the transformed function,
V(u,v)
, respectively. The 2D Fourier transform of a real-valued function may result in a complex-valued function. The amplitude is determined by the contribution from a certain frequency component, while the phase carries additional information on the spatial distribution.
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