Write MATLAB code that will do the following.

(a)　　Add Gaussian, Salt and Pepper and Speckle noise to image.

(b)　　Perform median filtering to remove noise and determine SNR and PSNR value.

(c)　　Perform average or low pass filtering to remove noise and determine SNR and PSNR value. (use 3×3, 5×5 and 9×9 window and discuss on the filtered image)

(d)　　Perform high pass filtering to detect edges.

(e)　　Perform High Boost filtering