this post was submitted on 22 Nov 2025
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If you can build up intuition around Fourier decomposition I think it gets much easier to understand.
Multiple things going on at the same frequency are indistinguishable (up to a phase). Lots of stuff going on at different frequency can be separated. Light also has frequency (color) and volume (intensity)---it may be more intuitive to conceptualize in this way.
Ironically, I work a lot with Fourier Transform. Still feels like magic. I even taught it! I’m trying to develop more intuition about it (vs hard knowledge)