Integer 2-D Discrete Fourier Transform Pairs and Eigenvectors using Ramanujan’s Sum


A completely unique technique to generate integer 2-D discrete Fourier remodel (DFT) pairs and eigenvectors was proposed. Using projection slice theorem and Ramanujan’s sum, the two-D spatial signal is decomposed into a pair of-D gcd-delta functions that contain only zeroes and ones. The two-D DFT of 2-D gcd-delta functions are also integers. The integer two-D DFT pairs can be applied to get integer a pair of-D DFT eigenvectors and a pair of-D amount detection. The connection between 2-D gcd-delta perform and multidimensional Ramanujan’s Total is additionally illustrated with two numerical examples.

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