PROBLEM C1 - SYSTEMS, SIGNALS AND IMAGE PROCESSING The two purely black and white images shown above are each 8080 pixels. Each image contains an equal number of black and white pixels, which are represented using 8-bit grayscale intensity levels. The black lines around the boarder signify the image edges and are not pixels. Answer the following questions. Clearly label all axes. a) Sketch the histogram of each image, a and b. (1pt) b) Suppose each image is smoothed using a 33 uniform filter having coefficients that sum to 1 . Disregarding the pixels that are affected by the image boundaries, determine all unique pixel intensity values that will be present in each smoothed image. (4pts) c) Roughly sketch the two resulting histograms from part b. (2pts) d) Roughly sketch the 2-dimensional Discrete Fourier Transform (DFT) of each original image (prior to smoothing). (3pts)