2d continuous fourier transform in matlab

To perform a 2D continuous Fourier transform in MATLAB, you can use the function fft2.

Here's an example code snippet:

main.m
% Create sample 2D signal
[X,Y] = meshgrid(-10:0.1:10);
Z = sin(sqrt(X.^2 + Y.^2))./(sqrt(X.^2 + Y.^2));

% Perform 2D continuous Fourier transform
Z_F = fft2(Z);

% Visualize Fourier transform
figure;
imagesc(abs(fftshift(Z_F)))
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In this example, a 2D signal Z is created using the meshgrid function, and then passed to fft2 to perform the Fourier transform. Finally, the imagesc function is used to visualize the magnitude of the Fourier transform.

Note that the fftshift function is used to shift the zero frequency component to the center of the plot for visualization purposes.