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The more general uncertainty principle, regarding Fourier transforms

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Further reading 1

What is missing from a picture of brightness? →Follow rotating hands, short tones and holographic exposures to separate three questions: what is in a wave, what the observation window permits, and what the instrument actually records.This video helps answer · Stop the hand you want to measure

Caption notes

Nearby tones can both match a short observation. Shortening a pulse localizes it in time while broadening the range of frequencies with which it correlates.

Creator’s caption track ↗
Original passages · 2
So an observation over a short period of time gave you low confidence over what their frequencies are.
The more general uncertainty principle, regarding Fourier transforms · ▶ 1:18–1:23
The shorter it lasts in time, the less certain you can be about what its exact frequency is.
The more general uncertainty principle, regarding Fourier transforms · ▶ 1:51–1:56

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