Problem 4 We are given the degraded version g of an image f such that in lexicographic ordering G=Hf+n Where H is the degradation matrix, which is assumed to be block-circulant, and n is the noise term, which is assumed to be zero mean, independent and white. The images have size NxN, with N even. In a particular scenario, the image under consideration is blurred with relative motion between the image and the camera. The pixel of the image f at location (x,y) is related to the corresponding pixel of image f through the following relationship: g(x,y)= f(x,y)+2f(x,y-1)+f(x,y-2)+n(x,y) (a) Consider the inverse filtering image restoration technique. Find the expressions for both the inverse filter estimator and the restored image in the frequency domain. (b) Find the specific frequencies for which the restored image cannot be estimated.