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Performing the transform on the below logic

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I have the below function for which I need to perform spatial Fourier transform and plot its spatial frequency spectrum for various values of y.
How to do this using matlab?
Y1 = acos(x/2+y) + asin(g/3+x);
%g is constant
  1 Comment
AndresVar on 14 Mar 2022
Edited: AndresVar on 14 Mar 2022
for various values of y & x?
you can create a meshgrid of y's and x's
evaluate the function f(x,y)

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Accepted Answer

AndresVar on 14 Mar 2022
Make a grid, evaluate the function and use fft2 to get the spatial spectrum.
Here is an example, note function might be different fom what you posted.
Note fftshift was used to shift the spectrum to the center, you can try without.
g=10; % for example
x=linspace(1,4,10); % for example
y=linspace(1,4,10); % for example
[X,Y]=meshgrid(x,y); % a grid
F = (atan(g/2+X)./Y+atan(g/2-X)./Y)/pi; % evaluate the grid
F_PS = abs(fftshift(fft2(F))); % power spectrum, shifted

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