Transferred from en.wikipedia to Commons by Maksim.
The original description page was
here. All following user names refer to en.wikipedia.
Fourier operator imaginary part
This is the imaginary part of the Fourier operator.
The Fourier operator is a continuous version showing the Fourier transform as Fredholm kernel of the 2nd kind, as the limiting process of a DFT matrix in the limit as the size of the matrix approaches infinity by infinity, so that it goes from discrete (DFT) to continuous Fourier transform.
I made this image for my masters thesis which was on the subject of the chirplet transform, since I also wanted to understand and conceptualize the Fourier transform in new ways, prior to building upon it to extend beyond Fourier and wavelet transforms to chirplet transform.
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