2D Phases
Please Log In for full access to the web site.
Note that this link will take you to an external site (https://shimmer.mit.edu) to authenticate, and then you will be redirected back to this page.
Each of the following panels illustrates an 11\times11 pixel image where gray represents a value of 0 and white represents a value of 1. Let r and c denote the row and column, respectively, with r increasing downward and c increasing to the right. The origin (r=c=0) of each of these images is in its center.
For each image above, determine which of the panels on the following page represents the angle of the (11\times11) DFT of that signal, where black represents 0, white represents \pi and -\pi, red represents positive angles, and blue represents negative angles (with \pi/2 represented by solid red, and -\pi/2 represented by solid blue). The origin of each of these panels is in the center of the panel, k_r increases downward, and k_c increases to the right. For reference, image A is a gradient in the vertical direction, starting at a value of -\pi in the first row and increasing linearly as k_r increases. The bottom row of image A has the value \pi.
