I am using Matlab function imnoise to add gaussian noise to one image. However, it seems that adjacent samples of the noise is correlated. I am using matlab code below to add noise.
I = imread('eight.tif');
J = imnoise(I, 'gaussian', 0, 0.02);
figure; imshow(I);
figure; imshow(J);
From the image, it contains many short vertical gray lines which maybe be image structures for some cases. Is the noise really additive white gaussian noise(AWGN)?
histogram of noise: 
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