Circular vs. linear convolution of 2D data

13 vues (au cours des 30 derniers jours)
William Thielicke
William Thielicke le 23 Août 2019
Commenté : William Thielicke le 27 Août 2019
Hi, there is an example for 1D data and circular vs linear convolution here:
If I want to do this with 2D data, how do I zero-pad my data? I mean in which side of the matrix do I add zeros? Everywhere? Thank you! William

Réponse acceptée

Devineni Aslesha
Devineni Aslesha le 26 Août 2019
Hi William,
In order to zero-pad a 2D data i.e. matrix, padding should be in such a way that the row length is equal to r1+r2-1 and column length is equal to c1+c2-1 where r1 and r2 are the number of rows and c1 and c2 are the number of columns of the 1st and 2nd matrices respectively.
Use the below code for reference.
rng default;
x = rand(2);
y = rand(3);
c = conv2(x,y);
xpad = [x zeros(size(x,1),size(y,2)-1); zeros(size(y,1)-1,size(x,2)+size(y,2)-1)];
ypad = [y zeros(size(y,1),size(x,2)-1); zeros(size(x,1)-1,size(y,2)+size(x,2)-1)];
c1 = ifft2(fft2(xpad).*fft2(ypad));

Plus de réponses (0)


En savoir plus sur Fourier Analysis and Filtering dans Help Center et File Exchange


Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by