Fourier Picture Matching

The questions below are due on Thursday May 01, 2025; 02:00:00 PM.
 
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In each of the following images, white represents a value of 1, black reprsents a value of 0, and grays lie between those extremes. The origin (n_x=n_y=0) is in the lower left corner of each image.

Each of the following 7 panels shows the magnitudes of the DFT coefficients associated with one of the above images. Notice that the origin (k_x=k_y=0) is in the center of each of these panels. as A through I):

Which transform (A-G) matches each image (1-7). Briefly explain your reasoning.

Please upload a single pdf file that contains your answers to all parts of this problem:

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