Removing Noise using FFT

Hello everyone, I was asked to remove periodic noise from an image and the noise module (pattern) was given. So, I have to subtract pattern from the image in order to get rid of the noise. you can find the two images in the attachment. Here what I did so far (in the code), Only the white bars were removed while black ones were still present. I really will be thankful if one could help me to solve this problem

if true
  clc;
close all;
clear all; 
%%%%%%%%%%%%%%%%%%%%%%%%
m=imread('nnoisy.png');
figure;
imshow(m),title('noisy image');
Artifacted=(fft2(double(m)));
%%%%%%%%%%%%%%%%%%%%%%%
p=imread('Pattern.tif');
figure;
imshow(p), title('pattern image');
pattern=(fft2(double(p)));
%%%%%%%%%%%%%%%%%%%%%%
Subtractionn=((Artifacted)-(pattern));
figure;
imshow(Subtractionn), title('subtraction image');
%%%%%%%%%%%%%%%%%%%%%%%%%%%
spacial=uint8(ifft2(Subtractionn));
figure;
imshow(spacial), title('spacial domain image');