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Comment on Visualizing the Discrete Fourier Transformparent

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Yup. I think it's not that hard to understand the continuous time fourier transform -- just imagine every signal ever can be expressed as an infinite integral of sinusoids of varying frequencies (the inverse fourier transform), and reverse that process to coax the fourier transform.

It is trivial to coax the DTFT and DFT derivations if one understands the CTFT.

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