Fourier

Discrete Fourier transform of a 2D exponential decay

Discrete Fourier transform of a 2D exponential decay
  1. What is 2D discrete Fourier transform?
  2. Which is a property of 2D DFT?
  3. What is the difference between DFT and DTFS?

What is 2D discrete Fourier transform?

2D-Discrete time Fourier transform (DTFT)

F(ω1,ω2) is a complex-valued continuous function that is periodic in both ω1 and ω2 with a period of 2π. Since the periodicity usually on the range −π<=(ω1,ω2)<=π is displayed. The component F(0,0) is the sum of all the values of the image f(x,y).

Which is a property of 2D DFT?

There are many types of 2D DFT properties:

Periodicity and Conjugate Symmetry. Separability (kernel separating) Linearity. Convolution and Correlation.

What is the difference between DFT and DTFS?

DFT (Discrete Fourier Transform) is a practical version of the DTFT, that is computed for a finite-length discrete signal. The DFT becomes equal to the DTFT as the length of the sample becomes infinite and the DTFT converges to the continuous Fourier transform in the limit of the sampling frequency going to infinity.

Algorithm DFT algorithm in Matlab
DFT algorithm in Matlab
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