Plusses and Minuses

The questions below are due on Thursday May 07, 2026; 02:00:00 PM.
 
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The panels below show eight images (f_1[r,c] to f_8[r,c] with black (0) or white (1) pixels that are indexed by row number r and column number c where -9\le r\lt9 and -9\le c\lt9.

f_1[r,c] f_2[r,c] f_3[r,c] f_4[r,c]
f_5[r,c] f_6[r,c] f_7[r,c] f_8[r,c]

Each of the following panels shows the magnitude of a 2D DFT. For each of these panels, black represents a value of 0 and white represents the largest magnitude in that panel (which may be different for each panel). Determine which of the panels shows the magnitude of the 2D DFT of each of the images above, and enter the corresponding letter (A-L) in the appropriate box.

A B C D
E F G H
I J K L

Fill in the following table to indicate which of the 2D DFTs (panels A-L) correspond to each of the 2D signals (f_1[r,c] to f_8[r,c].

image\big| 2D DFT \big|
f_1[r,c]
f_2[r,c]
f_3[r,c]
f_4[r,c]
f_5[r,c]
f_6[r,c]
f_7[r,c]
f_8[r,c]

Upload your solution to this problem (including parts a, b, and c) as a single pdf file.
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