a) Create a Matlab function to add Gaussian noise to an image. You must be able to specify the noise mean and variance and you may use the randn Matlab function. b) Apply a Gaussian LPF filter in the frequency domain to the image. Choose a cut-off that clearly shows blurring effects. c) In the spatial domain, add zero-mean additive white Gaussian noise (AWGN) using the function from part a). Show two examples of medium and high levels of noise when added to the result from part b). d) Compare the output image against the input image for both cases in part c) using the SSIM index and MSE difference and comment.