p(x,y) is defining a periodic function, with period X in the x direction and period Y in the y direction.
How do I convolve a periodic rect function with comb function
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p(x,y)=rect(2x/X)rect(2y/Y)⊗[comb(x/X)comb(y/Y)]
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Matt J
on 10 Jun 2022
Another possibility is to download interpMatrix
Here is an example with a comb of sincs, rather than a comb of rects.
x=linspace(-3,+3,601); y=x;
kx=sinc( pi*x );
ky=sinc( pi*y*2 );
Ix=sum(interpMatrix(kx,'max',7,100),2);
Iy=sum(interpMatrix(ky,'max',13,50),2);
surf(x,y , Ix.*Iy','EdgeColor','none')
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