Question

A. normally distributed (Gaussian) random noise in a 2D grid the same size as your images (256x256). Adjust the range of the noise so that SNR is 10. Add the noise image to one of your 256x256 pixel images from HW #1. (Alternatively, you may use your results from previous assignment for generating and adding noise)

Please write skeleton code in MATLAB!!!

Answer 1

To add Gaussian random noise to an image with an SNR of 10 in MATLAB, calculate the variance based on the SNR and the signal power, generate the noise with randn, and add it to the image.

Step-by-step explanation:

To add Gaussian random noise to a 2D grid (image) in MATLAB and adjust the signal-to-noise ratio (SNR) to 10, we can use the following skeleton code:

% Assuming that 'image' is your 256x256 image from a previous homework

% Define the size of the image
img_size = [256, 256];

% Generate standard normal distributed noise
noise = randn(img_size);

% Calculate the signal power and noise power
signal_power = mean(image(:) .^ 2);
noise_variance = signal_power / (10^(SNR/10));

% Adjust the noise power
adjusted_noise = sqrt(noise_variance) * noise;

% Add the adjusted noise to the original image
noisy_image = image + adjusted_noise;

Feel free to replace 'image' with the actual variable containing your image data. This code calculates the noise variance required to achieve an SNR of 10 and then generates Gaussian noise with that variance which is added to the original image.