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N=10;
h=0.50 - 0.50*cos(2.0*pi*(1:N)'/(N+1));
Window =  h*h' ;
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function im = IdealLowPass(im0,fc)
% fc is the circular cutoff frequency which is normalized to [0 1], that is,
% the highest radian frequency \pi of digital signals is mapped to 1.

[ir,ic,iz] = size(im0);
hr = (ir-1)/2;
hc = (ic-1)/2;
[x, y] = meshgrid(-hc:hc, -hr:hr);

mg = sqrt((x/hc).^2 + (y/hr).^2);
lp = double(mg <= fc);

IM = fftshift(fft2(double(im0)));
IP = zeros(size(IM));
for z = 1:iz
    IP(:,:,z) = IM(:,:,z) .* lp;
end
im = abs(ifft2(ifftshift(IP)));

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