Home / Problem Set 11 / Find the Phase: 2D

Find the Phase: 2D

The questions below are due on Monday May 03, 2021; 10:00:00 PM.
 
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Note that this exercise is intended to be solved by hand, without the use of computation.

Panels 1-8 illustrate eight 2D discrete-time signals. Each signal has 11 rows and 11 columns. Black represents -1, grey represents 0 and white represents 1. The origin of each of these panels is in the center of the panel, r increases downward, and c increases to the right.

For each signal, determine which of the following panels represents the angle of the (11\times11) DFT of that signal, where black represents 0, white represents \pi, and gray represents samples for which the angle is indeterminate (because the corresponding magnitude is 0). 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.

Which angle plot matches with each signal? Enter a sequence of letters in the box below. For example, entering GDIC... would imply that angle graph G matches with signal 1, angle graph D matches with signal 2, I with signal 3, C with signal 4, ...

Matching letters: